2 years ago

Verify the identity tan ^5 x = tan ³x sec² x-tan ³x

1 answer:

7 0

The relation between the secant and tangent is used to prove the equation. The detailed description is given below.

<h3>What is trigonometry?</h3>

The connection between the lengths and angles of a triangular shape is the subject of trigonometry.

The equation is given below.

tan⁵ x = tan ³ x sec² x - tan³ x

Taking tan ³ x common then we have

tan⁵ x = tan ³ x (sec² x - 1)

We know that sec² x - 1 = tan² x, then we have

tan⁵ x = tan ³ x (tan² x)

tan⁵ x = tan⁵ x

Hence proved

More about the trigonometry link is given below.

brainly.com/question/22698523

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