prove that
sin theta- cos theta+1/ sin theta + cos theta -1 = 1/ sec theta - tan theta
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Step-by-step explanation:
Given, sinθ+sin
2
θ=1
⇒sinθ=1−sin
2
θ=cos
2
θ
Therefore, cos
2
θ+cos
4
θ=cos
2
θ(1+cos
2
θ)
=sinθ(1+sinθ)
=sinθ+sin
2
θ
=1
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