Prove that: ( 1 + cot Θ - Cosec Θ) (1 + tan Θ + sec Θ) = 2

Answer:


The simple way to solve this question is to change the given things into sin and cos respectively!

As we know,

CotΘ = cosΘ / sinΘ

CosecΘ = 1/ sinΘ

TanΘ = sinΘ / cosΘ

SecΘ = 1/ cosΘ

Then you can take the LCM and then start solving the question as shown in the photo.

Identity used: sin^2 Θ + cos^2 Θ = 1

See the image to visualize the answer!

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