Math, asked by Anonymous, 6 months ago

prove that cos^2thita + tan ^2thta - 1 /sin^2thta = tan ^2thita


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Answers

Answered by urvashisantosh
1

Answer:

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Attachments:
Answered by riya5395
0

Answer:

Given (cos

2

θ−sin

2

θ)=tan

2

ϕ

To prove:

cosϕ=

2

cosθ

1

(cos

2

θ−sin

2

θ)=tan

2

ϕ

add 1 on both sides

(cos

2

θ−sin

2

θ)=tan

2

ϕ+1

cos

2

+(1−sinθ)=(1+tan

2

ϕ)

cos

1

θ+cos

2

θ=sec

2

ϕ

⇒ 2cos

2

θ=sec

2

ϕ

⇒ 2cos

2

θcos

2

ϕ=1

⇒ cos

2

ϕ=

2cos

1

θ

1

⇒ cosθ=

2

cosθ

1

Step-by-step explanation:

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