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Which of the following options is NOT a correct trigonometric identity?
Question

Which of the following options is NOT a correct trigonometric identity?

A.

1 + cot² θ = cosec² θ

B.

1 + tan² θ = sec² θ

C.

1 - sin² θ = cos² θ

D.

cos² θ – sin² θ = 1

Correct option is D

Formula used: 
sin2θ+cos2θ=1sec2θ=1+tan2θ1+cot2θ=cosec2θ\sin^2\theta + \cos^2 \theta =1 \\ \sec^2 \theta = 1 + \tan^2 \theta \\ 1+\cot^2 \theta = \cosec^2\theta​​
Solution: 
Checking from the options 
option (a) is a  trigonometric identity.
option (b) is a  trigonometric identity. 
option (c) is a trigonometric identity.
derive from sin2θ+cos2θ=1\sin^2\theta + \cos^2 \theta =1​​
option (d) is not a a trigonometric identity 
right identity is sin2θ+cos2θ=1\sin^2\theta + \cos^2 \theta =1 
therefore, option(d) is correct.

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