Question

solve 1 + tan theta + sec theta multiply 1 + cos theta minus cosec theta​

Answer 1

Step-by-step explanation:

(1+tanθ+secθ)(1+cotθ−cscθ)

=(1+

cosθ

sinθ

+

cosθ

1

)(1+

sinθ

cosθ

−

sinθ

1

)

=

cosθ.sinθ

(cosθ+sinθ+1)(sinθ+cosθ−1)

=

cosθsinθ

(cosθ+sinθ)

2

−1

=

cosθsinθ

cos

2

θ+sin

2

θ+2cosθsinθ−1

=

cosθsinθ

1−1+2sinθcosθ

=2

Answer 2

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