1.

(cos theta - tan theta)^2/cos^2theta​

Answer»

ANSWER:

H.S=cotθ−tanθ

=

sinθ

cosθ

cosθ

sinθ

=

sinθcosθ

cos

2

θ−sin

2

θ

=

sinθcosθ

cos

2

θ−(1−cos

2

θ)

=

sinθcosθ

cos

2

θ−1+cos

2

θ

=

sincosθ

2cos

2

θ−1

=R.H.S

Hence,

cotθ−tanθ=

sincosθ

2cos

2

θ−1

PROVED.



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