Sin 37

Enter angle in degrees or radians: Calculate sin(37)° Determine quadrant:Since 0 ≤ 37 ≤ 90 degrees it is in Quadrant I sin, cos and tan are positive. Determine angle type:37 < 90°, so it is acute sin(37) = 0.60181502256273 Write sin(37) in terms of cosSince 37° is less than 90... We can express this as a cofunction sin(θ) = cos(90 - θ) sin(37) = cos(90 - 37) sin(37) = cos(53) Excel or Google Sheets formula: =SIN(RADIANS(37)) Special Angle Values θ° θ rad sin(θ) cos(θ) tan(θ) csc(θ) sec(θ) cot(θ) 0° 0 0 1 0 0 1 0 30° π/6 1/2 √ 3/2 √ 3/3 2 2√ 3/3 √ 3 45° π/4 √ 2/2 √ 2/2 1 √ 2 √ 2 1 60° π/3 √ 3/2 1/2 √ 3 2√ 3/3 2 √ 3/3 90° π/2 1 0 N/A 1 0 N/A 120° 2π/3 √ 3/2 -1/2 -√ 3 2√ 3/3 -2 -√ 3/3 135° 3π/4 √ 2/2 -√ 2/2 -1 √ 2 -√ 2 -1 150° 5π/6 1/2 -√ 3/2 -√ 3/3 2 -2√ 3/3 -√ 3 180° π 0 -1 0 0 -1 N/A 210° 7π/6 -1/2 -√ 3/2 √ 3/3 -2 -2√ 3/3 √ 3 225° 5π/4 -√ 2/2 -√ 2/2 1 -√ 2 -√ 2 1 240° 4π/3 -√ 3/2 -1/2 √ 3 -2√ 3/3 -2 √ 3/3 270° 3π/2 -1 0 N/A -1 0 N/A 300° 5π/3 -√ 3/2 1/2 -√ 3 -2√ 3/3 2 -√ 3/3 315° 7π/4 -√ 2/2 √ 2/2 -1 -√ 2 √ 2 -1 330° 11π/6 -1/2 √ 3/2 -√ 3/3 -2 2√ 3/3 -√ 3 Show Unit Circle; Free Trig Measurement Calculator - Given an angle θ, this calculates the following measurements: Sin(θ) = Sine Cos(θ) = Cosine Tan(θ) = Tangent Csc(θ) = Cosecant Sec(θ) = Secant Cot(θ) = Cotangent Arcsin(x) = θ = Arcsine Arccos(x) = θ = Arccosine Arctan(x) =θ = Arctangent Also converts between Degrees and Radians and Gradians Coterminal Angles as well as determine if it is acute, obtuse, or right angle. ...

Sin Cos Tan Values In trigonometry, sin cos and tan values are the primary functions we consider while solving trigonometric problems. These When we find sin cos and tan values for a triangle, we usually consider these angles: 0°, 30°, 45°, 60° and 90°. It is easy to memorise the values for these certain angles. The trigonometric values are about the knowledge of standard angles for a given triangle as per the Sin Cos Tan Formula The three ratios, i.e. sine, cosine and tangent have their individual formulas. Suppose, ABC is a right triangle, right-angled at B, as shown in the figure below: Now as per sine, cosine and tangent formulas, we have here: • Sine θ = Opposite side/Hypotenuse = BC/AC • Cos θ = Adjacent side/Hypotenuse = AB/AC • Tan θ = Opposite side/Adjacent side = BC/AB We can see clearly from the above formulas, that: Tan θ = sin θ/cos θ Now, the formulas for other trigonometry ratios are: • Cot θ = 1/tan θ = Adjacent side/ Side opposite = AB/BC • Sec θ = 1/Cos θ = Hypotenuse / Adjacent side = AC / AB • Cosec θ = 1/Sin θ = Hypotenuse / Side opposite = AC / BC The other side of representation of trigonometric values formulas are: • Tan θ = sin θ/cos θ • Cot θ = cos θ/sin θ • Sin θ = tan θ/sec θ • Cos θ = sin θ/tan θ • Sec θ = tan θ/sin θ • Cosec θ = sec θ/tan θ Also, read: • • • Sin Cos Tan Chart Let us see the table where the values of sin cos tan sec cosec and tan are provided for the important angles 0°, 30°, 45°, 60° and ...

$\begingroup$ @gen-ℤ ready to perish, it looks like you don't understand what the Taylor expansion around a point $a$ means. It means $f(x) = f(a) + f'(a)(x-a) + f''(a)/2\, (x-a)^2 + \ldots$, which obviously assumes that you know the exact value of $f^(a)$, for all practical purposes. $\endgroup$ The easiest approach may be to use the Taylor series $\sin x=x-\left(37\pi\over180\right)^5$$ (noting that the next term in the alternating sum is considerably less than $1/5040\approx0.0002$). I wouldn't want to complete the decimal calculation by hand, but it's relatively straightforward with a calculator, even if you have to use an approximation like $\pi\approx3.1416$ on a pocket calculator that lacks a button for $\pi$ and only does arithmetic. Expand around $\pi/5$ $$\sin x = \sin(\pi/5)+\cos(\pi/5) \left(x-\frac\right)^4+O\left(x^5\right)$$ You get $0.601$ plugging $x=37/180 \pi$ Using Taylor's poloynomial with degree $p$ around $a=\frac$ I agree with the other answers that are already provided. However, I think that there is a possible source of confusion that should be resolved. In Trigonometry/Analytical Geometry, the domain of the sine and cosine functions are angles, which have a unit of measurement, the degree. So $37^.$ Some of the confusion centers around ambiguity in the connotation of the term radian. That is, does $(\pi/4)$ radians represent a dimensioned number, with 1 radian representing a unit of measurement of an angle similar to what 1 degree represents? Thi...

This trigonometry calculator will help you in two popular cases when trigonometry is needed. If you want to find the values of sine, cosine, tangent, and their reciprocal functions, use the first part of the calculator. Are you searching for the missing side or angle in a right triangle using trigonometry? Our tool is also a safe bet! Type 2-3 given values in the second part of the calculator, and you'll find the answer in a blink of an eye. Scroll down if you want to learn about trigonometry and where you can apply it. There are many other useful tools when dealing with trigonometry problems. Check out two popular trigonometric laws with the Trigonometry is a branch of mathematics. The word itself comes from the Greek trigōnon (which means "triangle") and metron ("measure"). As the name suggests, trigonometry deals primarily with angles and triangles; in particular, it defines and uses the relationships and ratios between angles and sides in triangles. The primary application is thus solving triangles, precisely right triangles, and any other type of triangle you like. Trigonometry has plenty of applications: from everyday life problems such as calculating the height or distance between objects to the satellite navigation system, astronomy, and geography. Also, sine and cosine functions are fundamental for describing periodic phenomena - thanks to them, we can describe oscillatory movements (as in our Many fields of science and engineering use trigonometry and trigonometr...

$\begingroup$ @gen-ℤ ready to perish, it looks like you don't understand what the Taylor expansion around a point $a$ means. It means $f(x) = f(a) + f'(a)(x-a) + f''(a)/2\, (x-a)^2 + \ldots$, which obviously assumes that you know the exact value of $f^(a)$, for all practical purposes. $\endgroup$ The easiest approach may be to use the Taylor series $\sin x=x-\left(37\pi\over180\right)^5$$ (noting that the next term in the alternating sum is considerably less than $1/5040\approx0.0002$). I wouldn't want to complete the decimal calculation by hand, but it's relatively straightforward with a calculator, even if you have to use an approximation like $\pi\approx3.1416$ on a pocket calculator that lacks a button for $\pi$ and only does arithmetic. Expand around $\pi/5$ $$\sin x = \sin(\pi/5)+\cos(\pi/5) \left(x-\frac\right)^4+O\left(x^5\right)$$ You get $0.601$ plugging $x=37/180 \pi$ Using Taylor's poloynomial with degree $p$ around $a=\frac$ I agree with the other answers that are already provided. However, I think that there is a possible source of confusion that should be resolved. In Trigonometry/Analytical Geometry, the domain of the sine and cosine functions are angles, which have a unit of measurement, the degree. So $37^.$ Some of the confusion centers around ambiguity in the connotation of the term radian. That is, does $(\pi/4)$ radians represent a dimensioned number, with 1 radian representing a unit of measurement of an angle similar to what 1 degree represents? Thi...

Sin Cos Tan Values In trigonometry, sin cos and tan values are the primary functions we consider while solving trigonometric problems. These When we find sin cos and tan values for a triangle, we usually consider these angles: 0°, 30°, 45°, 60° and 90°. It is easy to memorise the values for these certain angles. The trigonometric values are about the knowledge of standard angles for a given triangle as per the Sin Cos Tan Formula The three ratios, i.e. sine, cosine and tangent have their individual formulas. Suppose, ABC is a right triangle, right-angled at B, as shown in the figure below: Now as per sine, cosine and tangent formulas, we have here: • Sine θ = Opposite side/Hypotenuse = BC/AC • Cos θ = Adjacent side/Hypotenuse = AB/AC • Tan θ = Opposite side/Adjacent side = BC/AB We can see clearly from the above formulas, that: Tan θ = sin θ/cos θ Now, the formulas for other trigonometry ratios are: • Cot θ = 1/tan θ = Adjacent side/ Side opposite = AB/BC • Sec θ = 1/Cos θ = Hypotenuse / Adjacent side = AC / AB • Cosec θ = 1/Sin θ = Hypotenuse / Side opposite = AC / BC The other side of representation of trigonometric values formulas are: • Tan θ = sin θ/cos θ • Cot θ = cos θ/sin θ • Sin θ = tan θ/sec θ • Cos θ = sin θ/tan θ • Sec θ = tan θ/sin θ • Cosec θ = sec θ/tan θ Also, read: • • • Sin Cos Tan Chart Let us see the table where the values of sin cos tan sec cosec and tan are provided for the important angles 0°, 30°, 45°, 60° and ...

Enter angle in degrees or radians: Calculate sin(37)° Determine quadrant:Since 0 ≤ 37 ≤ 90 degrees it is in Quadrant I sin, cos and tan are positive. Determine angle type:37 < 90°, so it is acute sin(37) = 0.60181502256273 Write sin(37) in terms of cosSince 37° is less than 90... We can express this as a cofunction sin(θ) = cos(90 - θ) sin(37) = cos(90 - 37) sin(37) = cos(53) Excel or Google Sheets formula: =SIN(RADIANS(37)) Special Angle Values θ° θ rad sin(θ) cos(θ) tan(θ) csc(θ) sec(θ) cot(θ) 0° 0 0 1 0 0 1 0 30° π/6 1/2 √ 3/2 √ 3/3 2 2√ 3/3 √ 3 45° π/4 √ 2/2 √ 2/2 1 √ 2 √ 2 1 60° π/3 √ 3/2 1/2 √ 3 2√ 3/3 2 √ 3/3 90° π/2 1 0 N/A 1 0 N/A 120° 2π/3 √ 3/2 -1/2 -√ 3 2√ 3/3 -2 -√ 3/3 135° 3π/4 √ 2/2 -√ 2/2 -1 √ 2 -√ 2 -1 150° 5π/6 1/2 -√ 3/2 -√ 3/3 2 -2√ 3/3 -√ 3 180° π 0 -1 0 0 -1 N/A 210° 7π/6 -1/2 -√ 3/2 √ 3/3 -2 -2√ 3/3 √ 3 225° 5π/4 -√ 2/2 -√ 2/2 1 -√ 2 -√ 2 1 240° 4π/3 -√ 3/2 -1/2 √ 3 -2√ 3/3 -2 √ 3/3 270° 3π/2 -1 0 N/A -1 0 N/A 300° 5π/3 -√ 3/2 1/2 -√ 3 -2√ 3/3 2 -√ 3/3 315° 7π/4 -√ 2/2 √ 2/2 -1 -√ 2 √ 2 -1 330° 11π/6 -1/2 √ 3/2 -√ 3/3 -2 2√ 3/3 -√ 3 Show Unit Circle; Free Trig Measurement Calculator - Given an angle θ, this calculates the following measurements: Sin(θ) = Sine Cos(θ) = Cosine Tan(θ) = Tangent Csc(θ) = Cosecant Sec(θ) = Secant Cot(θ) = Cotangent Arcsin(x) = θ = Arcsine Arccos(x) = θ = Arccosine Arctan(x) =θ = Arctangent Also converts between Degrees and Radians and Gradians Coterminal Angles as well as determine if it is acute, obtuse, or right angle. ...

This trigonometry calculator will help you in two popular cases when trigonometry is needed. If you want to find the values of sine, cosine, tangent, and their reciprocal functions, use the first part of the calculator. Are you searching for the missing side or angle in a right triangle using trigonometry? Our tool is also a safe bet! Type 2-3 given values in the second part of the calculator, and you'll find the answer in a blink of an eye. Scroll down if you want to learn about trigonometry and where you can apply it. There are many other useful tools when dealing with trigonometry problems. Check out two popular trigonometric laws with the Trigonometry is a branch of mathematics. The word itself comes from the Greek trigōnon (which means "triangle") and metron ("measure"). As the name suggests, trigonometry deals primarily with angles and triangles; in particular, it defines and uses the relationships and ratios between angles and sides in triangles. The primary application is thus solving triangles, precisely right triangles, and any other type of triangle you like. Trigonometry has plenty of applications: from everyday life problems such as calculating the height or distance between objects to the satellite navigation system, astronomy, and geography. Also, sine and cosine functions are fundamental for describing periodic phenomena - thanks to them, we can describe oscillatory movements (as in our Many fields of science and engineering use trigonometry and trigonometr...