Question

Solve : (sinθ+cosθ)(secθ+cosecθ)=2+secθcosecθ

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Answer 1

Answer:

457+--645--6778

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Answer 2

Answer:

(sinθ+cosθ)(secθ+cosecθ)

⇒(sinθ+cosθ)(

cosθ

1

+

sinθ

1

)

⇒(sinθ+cosθ)(

cosθsinθ

sinθ+cosθ

)

⇒

cosθsinθ

(sinθ+cosθ)

2

⇒

cosθsinθ

sin

2

θ+cos

2

θ+2sinθcosθ

⇒

cosθsinθ

1

+2

⇒2+secθcosecθ