Math, asked by ghoshsoumik403, 1 month ago

prove that sin theta/1 - cos theta + tan theta/1 + tan theta = sec theta cosec theta + cot theta​

Answers

Answered by diptiijaid
1

Answer

sinθ(1+tanθ)+cosθ(1+cotθ)

=sinθ+

cosθ

sin

2

θ

+cosθ+

sinθ

cos

2

θ

=sinθ+

sinθ

cos

2

θ

+

cosθ

sin

2

θ

+cosθ

A=

sinθ

sin

2

θ+cos

2

θ

+

cosθ

sin

2

θ+cos

2

θ

As,sin

2

θ+cos

2

θ=1

A=

sinθ

1

+

cosθ

1

= cosecθ+secθ

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