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

Question 3 Trigonometric Identities Exercise 18

Express the ratios cos A, tan A and sec A in terms of sin A.

Answer:

Solution:

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

We know that,

sin2 A + cos2 A = 1

So,

cos A = √(1 – sin2 A)

tan A = sin A/cos A = sin A/ √(1 – sin2 A)

sec A = 1/cos A = 1/ (√1 – sin2 A)

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