Cos 120 degrees

Cos 120 Degrees The value of cos 120 degrees is -0.5. Cos 120 degrees in radians is written as cos (120°×π/180°), i.e., cos (2π/3) or cos (2.094395. . .). In this article, we will discuss the methods to find the value of cos 120 degrees with examples. • Cos 120°: -0.5 • Cos 120° in fraction: -(1/2) • Cos (-120 degrees): -0.5 • Cos 120° in radians: cos (2π/3) or cos (2.0943951 . . .) What is the Value of Cos 120 Degrees? The value of cos 120 degrees in We know, using ⇒ 120 degrees = 120°× (π/180°) rad = 2π/3 or 2.0943 . . . ∴ cos 120° = cos(2.0943) = -(1/2) or -0.5 Explanation: For cos 120 degrees, the angle 120° lies between 90° and 180° (Second Since the cosine function is a ⇒ cos 120° = cos 480° = cos 840°, and so on. Note: Since, cosine is an Methods to Find Value of Cos 120 Degrees The cosine function is negative in the 2nd quadrant. The value of cos 120° is given as -0.5. We can find the value of cos 120 • Using Unit Circle • Using Trigonometric Functions Cos 120 Degrees Using Unit Circle To find the value of cos 120 degrees using the unit circle: • Rotate ‘r’ anticlockwise to form 120° angle with the positive x-axis. • The cos of 120 degrees equals the x-coordinate(-0.5) of the point of intersection (-0.5, 0.866) of unit circle and r. Hence the value of cos 120° = x = -0.5 Cos 120° in Terms of Trigonometric Functions Using • ±√(1-sin²(120°)) • ± 1/√(1 + tan²(120°)) • ± cot 120°/√(1 + cot²(120°)) • ±√(cosec²(120°) - 1)/cosec 120° • 1/sec 120° Note: Since 120° lies in ...

How to find the value of cos 120° degree? Cosine is one of the most important functions of Answer: The value of cos 120 degrees is -1/2. Let us find the value of cos 120°with the help of the Explanation: Let us write 120° as a sum of 90° and 30°. Now we can apply the cos (a + b) formula: cos (a + b) = cos a cos b - sin a sin b On substituting 'a' as 90° and 'b' as 30°, we get, cos 120° = cos 90° cos 30° - sin 90° sin 30° cos 120° = 0 - 1/2 cos 120° = -1/2 Thus, the value of cos 120° is -1/2.

Quick navigation: • • • • The Cosine function ( cos(x) ) The cosine is a trigonometric function of an angle, usually defined for acute angles within a right-angled triangle as the Since cos(α) = b/c, from this definition it follows that the cosine of any angle is always less than or equal to one, and it can take negative values. The cosine of a 90-degree angle is equal to zero, since in order to calculate it we would need a triangle with two 90-degree angles, which is the definition of a straight line. As the third side of the triangle does not exist (length is 0), the cosine equals zero (0 divided by the length of the hypotenuse equals 0). You can use this cosine calculator to verify this. A commonly used law in trigonometry which is trivially derived from the cosine definition is the law of cosines: c 2 = a 2 + b 2 - 2ab·cosγ Related trigonometric functions The reciprocal of cosine is the secant: sec(x), sometimes written as secant(x), which gives the ratio of the length of the hypotenuse to the length of the side opposite to the angle. The inverse of the cosine is the arccosine function: acos(x) or arccos(x), which takes values between 0 and 180 degrees. It is useful for finding an angle x when cos(x) is known. How to calculate the cosine of an angle? Our cosine calculator supports input in both degrees and radians, so once you have measured the angle, or looked up the plan or schematic, you just input the measurement and press "calculate". This is how easy it is. If th...

Cos 120 degree is equal to minus half which can be written as (- ½ ) or (-0.5). Cos is one of the functions of Trigonometry that deals with the relationship between the angles and sides of a right-angled triangle. So in short, we can say that measuring a triangle (specifically right-angled triangle) is trigonometry. Now, the question arises what is a right-angled Triangle? We know that a triangle is a closed figure with three sides and three angles. The triangle having one of its interior angles as 90 degrees and the other two angles less than 90 degrees is called a right-angled triangle. Some of the important functions of Trigonometry are Sin, Cos, and Tan. The use of these functions finds its applications in the field of astronomy, engineering, architectural design, and physics. Let us take a right-angled triangle, select one of the angles as () and name three sides as follow: Hypotenuse: The longest side of the triangle which is opposite to 90 degrees. Perpendicular (Opposite): It is the side opposite to the unknown angle and perpendicular to the base (that is, the angle between base and perpendicular is 90 degrees). Base (Adjacent): It is the side on which triangle rests and it also contains both the angles (90 degrees and unknown angle Most of the trigonometry calculations are done by using the trigonometry ratios. There are 6 trigonometry ratios present in trigonometry. Every other important trigonometry formula is derived with the help of these ratios. Given below a...

Calculator use To use this calculator, just type a value for the angle, then press 'Calculate'. You may choose radians (rad) or degrees (°) as the angle unit. The default unit is degree (°) Examples of accepted input values • 30 → sin(30°) = 0.5 • pi → sin(pi rad) = 0 • 3pi/4 → sin(3pi/4) = 0.707 ... • 1/(2pi) → sin(1/(2pi) rad) = 0.158 ... (note the parenthesis in denominator) • 1/2pi → sin(1/2pi rad) = sin((1/2) x pi rad) = 1 exactly Note: this calculator accepts numbers, fractions, 'pi', 'π', '+', '-', '*', '/', '(', ')' and some (not all) combinations of them as input. Use it with care!

Value of Cos 120 When we study the relationship between angles and sides of a triangle, it is called Trigonometry. Trigonometry is used in almost all fields. These applications include engineering, phonetics or game development, and so on. In all these areas, we use trigonometry functions for various purposes. The values of these functions like the value of Cos 120 or Cos 0 is important in these fields. Value of Cos 120 is -½. It has many other applications too. In some cases, it is used indirectly. For example, in creating computer music as sound travels in the form of waves. These waves follow a pattern of sine or cosine functions to develop computer music. How to find the value of Cos 120 0 As mentioned in the solution given below, 120° can be represented in terms of two angles i.e. either 90° or 180°. We can show that 120 degrees can be represented in two angles, whose value can be taken from 90 degree and 180 degree 180° – 60° = 120° ———– (1) 90° + 30° = 120° ———— (2) Let’s use these now. Cos 120° = cos(180° – 60°) = – cos 60° = -½ (since cos(180° – x) = – cos x) Cos 120° = cos(90° + 30°) = – sin 30° = -½ (we know that cos (90° + x) = -sin x) Cos 120 Other trigonometric ratios for different angles are: Trigonometry Ratio Table Angles (In Degrees) 0 30 45 60 90 180 270 360 Angles (In Radians) 0 Ï€/6 Ï€/4 Ï€/3 Ï€/2 Ï€ 3Ï€/2 2Ï€ sin 0 1/2 1/√2 √3/2 1 0 −1 0 cos 1 √3/2 1/√2 1/2 0 −1 0 1 tan 0 1/√3 1 √3 Not Defined 0 Not Defined 0 cot ...

Cos 120 ° is commonly used in both trigonometry and calculus in the higher grades. The relationship between different sides and angles of a triangle is referred to as trigonometry. Trigonometry is used in a range of tasks like engineering, aviation industry, construction of buildings, etc… Sine, cosine and tangent are the three major trigonometrical ratios that are used for the purpose of calculating trigonometrical sums. Cos is one of the 6 trigonometric functions and is widely used in both Mathematics and Physics. The overall concept of trigonometry is based on a right-angled triangle. The value of cos 120° is -1/2 or -0.5 as it lies in the 2nd quadrant where cosine is negative. The formula of cosine is,cos x = (adjacent side) / (hypotenuse). Here, the adjacent side is adjacent to angle x, and the hypotenuse is the triangle’s longest side. Students can find the detailed explanation below. Students must already know that cos θ = \(\frac\) It is important for the students to be able to identify the perpendicular, hypotenuse and base of the triangle. In the examination the values of a, b, h will be mentioned and based on these you can calculate cos θ. Since we are already aware of the values of trigonometric angles for sin, cos and tan from 0 to 90. We will use the formula to find the value of cos 120. Degrees 0° 30° 45° 60° 90° sin 0 1/2 1/√2 √3/2 1 cos 1 √3/2 1/√2 1/2 0 tan 0 1/√3 1 √3 ∞ Using cos (180° – θ) = – cosθ 1. cos 120° = cos (180° – 60°) = -cos 60 = -1/2. Using ...

Quick navigation: • • • • The Cosine function ( cos(x) ) The cosine is a trigonometric function of an angle, usually defined for acute angles within a right-angled triangle as the Since cos(α) = b/c, from this definition it follows that the cosine of any angle is always less than or equal to one, and it can take negative values. The cosine of a 90-degree angle is equal to zero, since in order to calculate it we would need a triangle with two 90-degree angles, which is the definition of a straight line. As the third side of the triangle does not exist (length is 0), the cosine equals zero (0 divided by the length of the hypotenuse equals 0). You can use this cosine calculator to verify this. A commonly used law in trigonometry which is trivially derived from the cosine definition is the law of cosines: c 2 = a 2 + b 2 - 2ab·cosγ Related trigonometric functions The reciprocal of cosine is the secant: sec(x), sometimes written as secant(x), which gives the ratio of the length of the hypotenuse to the length of the side opposite to the angle. The inverse of the cosine is the arccosine function: acos(x) or arccos(x), which takes values between 0 and 180 degrees. It is useful for finding an angle x when cos(x) is known. How to calculate the cosine of an angle? Our cosine calculator supports input in both degrees and radians, so once you have measured the angle, or looked up the plan or schematic, you just input the measurement and press "calculate". This is how easy it is. If th...

How to find the value of cos 120° degree? Cosine is one of the most important functions of Answer: The value of cos 120 degrees is -1/2. Let us find the value of cos 120°with the help of the Explanation: Let us write 120° as a sum of 90° and 30°. Now we can apply the cos (a + b) formula: cos (a + b) = cos a cos b - sin a sin b On substituting 'a' as 90° and 'b' as 30°, we get, cos 120° = cos 90° cos 30° - sin 90° sin 30° cos 120° = 0 - 1/2 cos 120° = -1/2 Thus, the value of cos 120° is -1/2.

Cos 120 ° is commonly used in both trigonometry and calculus in the higher grades. The relationship between different sides and angles of a triangle is referred to as trigonometry. Trigonometry is used in a range of tasks like engineering, aviation industry, construction of buildings, etc… Sine, cosine and tangent are the three major trigonometrical ratios that are used for the purpose of calculating trigonometrical sums. Cos is one of the 6 trigonometric functions and is widely used in both Mathematics and Physics. The overall concept of trigonometry is based on a right-angled triangle. The value of cos 120° is -1/2 or -0.5 as it lies in the 2nd quadrant where cosine is negative. The formula of cosine is,cos x = (adjacent side) / (hypotenuse). Here, the adjacent side is adjacent to angle x, and the hypotenuse is the triangle’s longest side. Students can find the detailed explanation below. Students must already know that cos θ = \(\frac\) It is important for the students to be able to identify the perpendicular, hypotenuse and base of the triangle. In the examination the values of a, b, h will be mentioned and based on these you can calculate cos θ. Since we are already aware of the values of trigonometric angles for sin, cos and tan from 0 to 90. We will use the formula to find the value of cos 120. Degrees 0° 30° 45° 60° 90° sin 0 1/2 1/√2 √3/2 1 cos 1 √3/2 1/√2 1/2 0 tan 0 1/√3 1 √3 ∞ Using cos (180° – θ) = – cosθ 1. cos 120° = cos (180° – 60°) = -cos 60 = -1/2. Using ...