Question

prove that 1+sin theta/cos theta =cos theta/1+sin theta

Answer 1

Step-by-step explanation:

cosθ

1+sinθ

+

1+sinθ

cosθ

=2secθ

cosθ(1+sinθ)

(1+sinθ)

2

+cos

2

θ

=2secθ

cosθ(1+sinθ)

1+sin

2

θ+2sinθ+cos

2

θ

=2secθ

sin

2

θ+cos

2

θ=1

cosθ(1+sinθ)

1+1+2sinθ

=2secθ

cosθ(1+sinθ)

2+2secθ

=2secθ

cosθ(1+sinθ)

2(1−1sinθ)

=2secθ

2secθ=2secθ L.H.S=R.H.S

Answer 2

Answer:

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Step-by-step explanation:

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