Math, asked by s8hi0nkhurmanm, 1 year ago

Sec 2 theta(Sec 2 theta-2) + 1= tan 4 theta

Answers

Answered by ARoy
36
sec²θ(sec²θ-2)+1
=sec
⁴θ-2sec²θ+1
=(sec
²θ)²-2.sec²θ.1+(1)²
=(sec²θ-1)²
=(tan²θ)²  [∵, sec²θ-tan²θ=1]
=tan⁴θ (Proved)
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