Question

Prove that:::::::::::::::

Answer 1

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Answer 2

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Answer Of Your Question☺️
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L.H.S,

tanθ+secθ-1/tanθ-secθ+1

→tanθ-secθ-(sec^2θ-tan^2θ)/tanθ-secθ+1

→(tanθ+secθ)-(secθ+tanθ)(secθ-tanθ)/tanθ-secθ+1

→(tanθ+secθ)(1-secθ+tanθ)/(tanθ-secθ+1)

→tanθ+secθ

→sinθ/cosθ+1/cosθ

→1+sinθ/cosθ

R.H.S,

1+sinθ/cosθ [proved]

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