# ML Aggarwal Solutions Class 10 Mathematics Solutions for Trigonometric Identities Exercise 18 in Chapter 18 - Trigonometric Identities

Question 2 Trigonometric Identities Exercise 18

If A is an acute angle and sec A = 17/8, find all other trigonometric ratios of angle A (using trigonometric identities).

Solution:

Trigonometric ratios are defined as the values of all trigonometric functions based on the ratio of sides in a right-angled triangle.

sec A = 17/8 and A is an acute angle

So, in ∆ ABC we have ∠B = 90o

And,

AC = 17 and AB = 8

By Pythagoras theorem,

BC = √(AC2 – AB2)

= √(172 – 82) = √(289 – 64) **= √**225

= 15

Now,

sin A = BC/AC = 15/17

cos A = 1/sec A = 8/17

tan A = BC/AB = 15/8

cot A = 1/tan A= 8/15

cosec A = 1/sin A = 17/15

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