Question

Prove the trigonometric identity:
(1 + tan2θ) (1 + sinθ) (1 - sinθ) = 1​

Answer 1

Answer:

ANSWER

L.H.S=(1+tan

2

θ)(1−sinθ)(1+sinθ)

=sec

2

θ(1−sin

2

θ)

=

cos

2

θ

1

×cos

2

θ

=1=R.H.S

Hence proved.

Step-by-step explanation:

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