Math, asked by Sharyupatil, 1 year ago

If tan x + cot x=3 prove that tan⁴x + cot⁴x=47

Answers

Answered by Cooloer
14
tan x + cot x=3
squarring both sides,
tan²x+cot²x+2tanx cotx=9
tan²x+cot²x=7 [since tanx cotx=1]
squarring both sides again,
tan⁴x+cot⁴x+2=49
tan⁴x+cot⁴x=47.

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