Math, asked by proudsikhi, 3 days ago

if sec A + tan A = p then find sin A​

Answers

Answered by Sahilpat
0

Step-by-step explanation:

secθ+tanθ=P

⇒(secθ+tanθ)

2

=P

2

⇒sec

2

θ+tan

2

θ+2tanθsecθ=P

2

⇒2tan

2

θ+1+

cosθ

2sinθ

=P

2

cos

2

θ

2sin

2

θ+cos

2

θ+2sinθ

=P

2

Applying componendo and dividendo

2sin

2

θ+cos

2

θ+2sinθ−cos

2

θ

2sin

2

θ+cos

2

θ+2sinθ−cos

2

θ

=

P

2

+1

P

2

−1

2(sinθ+1)

2sinθ(sinθ+1)

=

P

2

+1

P

2

−1

⇒sinθ=

P

2

+1

P

2

−1

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