Question

1 + cos theta minus cosecant theta into 1 + tan theta + secant theta is equal to 2

Answer 1

Answer:

Step-by-step explanation:

it is 1 +cot teta not cos

(1+cotθ−cosecθ)(1+tanθ+secθ)=(1+cosθsinθ−1sinθ)(1+sinθcosθ+1cosθ)

=(sinθ+cosθ−1sinθ)(sinθ+cosθ+1cosθ)

=(sinθ+cosθ)2−12sinθcosθ

=sin2θ+cos2θ+2sinθcosθ−1sinθcosθ

=1+2sinθcosθ−1sinθcosθ

=2sinθcosθsinθcosθ

=2