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ML Aggarwal Solutions Class 10 Mathematics Solutions for Trigonometric Identities Exercise 18 in Chapter 18 - Trigonometric Identities
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If A is an acute angle and sec A = 17/8, find all other trigonometric ratios of angle A (using trigonometric identities).
Answer:
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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