Respuesta :
The relation between the secant and tangent is used to prove the equation. The detailed description is given below.
What is trigonometry?
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.
https://brainly.com/question/22698523
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