Trigonometric table class 10

Chapter 8 of CBSE NCERT Class 10 Math covers Trigonometry. Concepts covered in Chapter 8 include trigonometric ratios, trigonometric ratios of complementary angles, trigonometric identities. The extra questions given below include questions akin to HOTS (Higher Order Thinking Skills) questions and exemplar questions of NCERT. Here is a quick recap of the key concepts that are covered in this chapter in the CBSE NCERT Class 10 Math text book. What are trigonometric ratios? The trigonometric ratios of the angle A in right triangle ABC are defined as follows: sine ∠A = \\frac) 0 ∴ The value of sin A or cos A never exceeds 1, whereas the value of sec A or cosec A is always greater than or equal to 1 Trigonometric ratios of complementary angles: The two angles are said to be complementary if their sum equals 90°. The trigonometric ratios of complementary angles are as follows: • cos(90° - A) = sin A • cot(90° - A) = tan A • cosec(90° - A) = sec A Trigonometric identities An equation involving trigonometric ratios of an angle is said to be trigonometric idnetity, if it is true for all values of the angles involved. Some of the key trigonometric identities used in this chapter are as follows: • sin 2 A + cos 2 A = 1 • sec 2 A =1 + tan 2 A for 0° ≤ A ≤ 90° • cosec 2 A = 1 + cot 2 A for 0° < A ≤ 90° Extra Questions for Class 10 Maths - Trigonometry • Question 1

Trigonometric Ratios The six trigonometric ratios are sine (sin), cosine (cos), tangent (tan), cotangent (cot), cosecant (cosec), and secant (sec). In geometry, trigonometry is a branch of mathematics that deals with the sides and angles of a right-angled triangle. Therefore, trig ratios are evaluated with respect to sides and angles. The trigonometry ratios for a specific angle ‘θ’ is given below: Trigonometric Ratios Sin θ Opposite Side to θ/Hypotenuse Cos θ Adjacent Side to θ/Hypotenuse Tan θ Opposite Side/Adjacent Side & Sin θ/Cos θ Cot θ Adjacent Side/Opposite Side & 1/tan θ Sec θ Hypotenuse/Adjacent Side & 1/cos θ Cosec θ Hypotenuse/Opposite Side & 1/sin θ Note: Opposite side is the perpendicular side and the adjacent side is the base of the right-triangle. Also, check out Definition Trigonometric Ratios are defined as the values of all the trigonometric functions based on the value of the ratio of sides in a right-angled triangle.  The ratios of sides of a right-angled triangle with respect to any of its acute angles are known as the trigonometric ratios of that particular angle. The three sides of the right triangle are: • Hypotenuse (the longest side) • Perpendicular (opposite side to the angle) • Base (Adjacent side to the angle) Related Articles: • • • • • • How to Find Trigonometric Ratios? Consider a right-angled triangle, right-angled at B. With respect to ∠C, the ratios of trigonometry are given as: • sine: Sine of an angle is defined ...

OP Malhotra Trigonometrical Identities and Tables Class-10 S.Chand ICSE Maths Solutions Ch-16. We Provide Step by Step Answer of Exe-16 with Self Evaluation and Revision of S Chand OP Malhotra Maths . Visit official Website OP Malhotra Trigonometrical Identities and Tables Class-10 S.Chand ICSE Maths Solutions Ch-16 -: Select Topics :- • Trigonometry from Greek trigon, “triangle” and matron, “measure”) is a branch of mathematics that studies relationships involving lengths and angles of triangles. • The field emerged during the 3 rd century BC from applications of geometry to astronomical studies. • Trigonometry is most simply associated with planar right angle triangles (each of which is a two-dimensional triangle with one angle equal to 90 degrees). • The applicability to non-right-angle triangles exists, but, since any non-right-angle triangle (on a flat plane) can be bisected to create two right-angle triangles, most problems can be reduced to calculations on right-angle triangles. Thus the majority of applications relate to right-angle triangles Trigonometrical Tables : How to use the trigonometrical tables? 1. It is used to find the trigonometrical ratios of acute angles other than standard angles 2. It consists of three parts: • A column on the extreme left contains degree from 0° to 89° • Ten columns for 0 ’, 6 ’, 12 ’, 18 ’, 24 ’, 30 ’, 36 ’, 42 ’, 48 ’ and 54 ’ • Five columns for 1 ’, 2 ’, 3 ’, 4 ’ and 5 ’ Trigonometric Ratios of Common angles : We can find the v...

Now to remember the Trigonometric table for 120 to 360 , we just to need to remember sign of the functions in the four quadrant. We can use below phrase to remember ALL SILVER TEA CUPS ALL – All the trigonometric function are positive in Ist Quadrant SILVER – sin and cosec function are positive ,rest are negative in II Quadrant T EA – tan and cot function are positive, rest are negative in III Quadrant CUPS – cos and sec function are positive , rest are negative in IV quadrant Now we can use the formula in below table to calculate the ratios from 120 to 360 This table is very easy to remember, as each correspond to same function.The sign is decided by the corresponding sign of the trigonometric function of the angle in the quadrant For example a. $ \cos 120 = \cos (180 -60) = – \cos 60$ . It is easy to remember and sign is decided by the angle quadrant. Since 120 lies in II quadrant ,cos is negative b.$\sin 120 = \cos (180 -60) = \sin 60$. Here since sin is positive in II quadrant, we put positive sign c. $\tan 120 = \tan (180 -60) = – \tan 60$. Here since tan is negative in II quadrant, we put negative sign Now Trigonometric table for 120 to 180 is given by And it is calculated as $\sin (120) = \sin (180 -60) =\sin 60= \frac $ We have explained everything is terms of degrees, same thing can be done in radian form also Related Posts Advertisements September 25, 2020 at 9:51 pm add (all trigonometric function are positive in 1st quadrant) sugar(sin is positive and all 3 rem...

Trigonometric Ratios The six trigonometric ratios are sine (sin), cosine (cos), tangent (tan), cotangent (cot), cosecant (cosec), and secant (sec). In geometry, trigonometry is a branch of mathematics that deals with the sides and angles of a right-angled triangle. Therefore, trig ratios are evaluated with respect to sides and angles. The trigonometry ratios for a specific angle ‘θ’ is given below: Trigonometric Ratios Sin θ Opposite Side to θ/Hypotenuse Cos θ Adjacent Side to θ/Hypotenuse Tan θ Opposite Side/Adjacent Side & Sin θ/Cos θ Cot θ Adjacent Side/Opposite Side & 1/tan θ Sec θ Hypotenuse/Adjacent Side & 1/cos θ Cosec θ Hypotenuse/Opposite Side & 1/sin θ Note: Opposite side is the perpendicular side and the adjacent side is the base of the right-triangle. Also, check out Definition Trigonometric Ratios are defined as the values of all the trigonometric functions based on the value of the ratio of sides in a right-angled triangle.  The ratios of sides of a right-angled triangle with respect to any of its acute angles are known as the trigonometric ratios of that particular angle. The three sides of the right triangle are: • Hypotenuse (the longest side) • Perpendicular (opposite side to the angle) • Base (Adjacent side to the angle) Related Articles: • • • • • • How to Find Trigonometric Ratios? Consider a right-angled triangle, right-angled at B. With respect to ∠C, the ratios of trigonometry are given as: • sine: Sine of an angle is defined ...

OP Malhotra Trigonometrical Identities and Tables Class-10 S.Chand ICSE Maths Solutions Ch-16. We Provide Step by Step Answer of Exe-16 with Self Evaluation and Revision of S Chand OP Malhotra Maths . Visit official Website OP Malhotra Trigonometrical Identities and Tables Class-10 S.Chand ICSE Maths Solutions Ch-16 -: Select Topics :- • Trigonometry from Greek trigon, “triangle” and matron, “measure”) is a branch of mathematics that studies relationships involving lengths and angles of triangles. • The field emerged during the 3 rd century BC from applications of geometry to astronomical studies. • Trigonometry is most simply associated with planar right angle triangles (each of which is a two-dimensional triangle with one angle equal to 90 degrees). • The applicability to non-right-angle triangles exists, but, since any non-right-angle triangle (on a flat plane) can be bisected to create two right-angle triangles, most problems can be reduced to calculations on right-angle triangles. Thus the majority of applications relate to right-angle triangles Trigonometrical Tables : How to use the trigonometrical tables? 1. It is used to find the trigonometrical ratios of acute angles other than standard angles 2. It consists of three parts: • A column on the extreme left contains degree from 0° to 89° • Ten columns for 0 ’, 6 ’, 12 ’, 18 ’, 24 ’, 30 ’, 36 ’, 42 ’, 48 ’ and 54 ’ • Five columns for 1 ’, 2 ’, 3 ’, 4 ’ and 5 ’ Trigonometric Ratios of Common angles : We can find the v...

Chapter 8 of CBSE NCERT Class 10 Math covers Trigonometry. Concepts covered in Chapter 8 include trigonometric ratios, trigonometric ratios of complementary angles, trigonometric identities. The extra questions given below include questions akin to HOTS (Higher Order Thinking Skills) questions and exemplar questions of NCERT. Here is a quick recap of the key concepts that are covered in this chapter in the CBSE NCERT Class 10 Math text book. What are trigonometric ratios? The trigonometric ratios of the angle A in right triangle ABC are defined as follows: sine ∠A = \\frac) 0 ∴ The value of sin A or cos A never exceeds 1, whereas the value of sec A or cosec A is always greater than or equal to 1 Trigonometric ratios of complementary angles: The two angles are said to be complementary if their sum equals 90°. The trigonometric ratios of complementary angles are as follows: • cos(90° - A) = sin A • cot(90° - A) = tan A • cosec(90° - A) = sec A Trigonometric identities An equation involving trigonometric ratios of an angle is said to be trigonometric idnetity, if it is true for all values of the angles involved. Some of the key trigonometric identities used in this chapter are as follows: • sin 2 A + cos 2 A = 1 • sec 2 A =1 + tan 2 A for 0° ≤ A ≤ 90° • cosec 2 A = 1 + cot 2 A for 0° < A ≤ 90° Extra Questions for Class 10 Maths - Trigonometry • Question 1

Now to remember the Trigonometric table for 120 to 360 , we just to need to remember sign of the functions in the four quadrant. We can use below phrase to remember ALL SILVER TEA CUPS ALL – All the trigonometric function are positive in Ist Quadrant SILVER – sin and cosec function are positive ,rest are negative in II Quadrant T EA – tan and cot function are positive, rest are negative in III Quadrant CUPS – cos and sec function are positive , rest are negative in IV quadrant Now we can use the formula in below table to calculate the ratios from 120 to 360 This table is very easy to remember, as each correspond to same function.The sign is decided by the corresponding sign of the trigonometric function of the angle in the quadrant For example a. $ \cos 120 = \cos (180 -60) = – \cos 60$ . It is easy to remember and sign is decided by the angle quadrant. Since 120 lies in II quadrant ,cos is negative b.$\sin 120 = \cos (180 -60) = \sin 60$. Here since sin is positive in II quadrant, we put positive sign c. $\tan 120 = \tan (180 -60) = – \tan 60$. Here since tan is negative in II quadrant, we put negative sign Now Trigonometric table for 120 to 180 is given by And it is calculated as $\sin (120) = \sin (180 -60) =\sin 60= \frac $ We have explained everything is terms of degrees, same thing can be done in radian form also Related Posts September 25, 2020 at 9:51 pm add (all trigonometric function are positive in 1st quadrant) sugar(sin is positive and all 3 remaining function...