Is (1-tan^2(θ))^2=sec^2(θ)-4tan^2(θ) ?

The answer to whether (1-tan^2(θ))^2=sec^2(θ)-4tan^2(θ) is False

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prove (1-tan^2(θ))^2=sec^2(θ)-4tan^2(θ)

prove

(1 - tan^{2} (θ))^{2} = sec^{2} (θ) - 4 tan^{2} (θ)

False

Solution steps

(1 - tan^{2} (θ))^{2} = sec^{2} (θ) - 4 tan^{2} (θ)

Show that the two sides are not equal

\Rightarrow False

- cos^{2} (x) + sin^{2} (x) = 1 - 2 cos^{2} (x)

4 sin (2 x) = 8 sin (x) cos (x)

cos (\frac{π}{2} - x) csc (x) = 1

csc (x) - sec (x) sin^{2} (x) = cos (x)

tan^{2} (x) + 4 = sec^{2} (x) + 3

Is (1-tan^2(θ))^2=sec^2(θ)-4tan^2(θ) ?
The answer to whether (1-tan^2(θ))^2=sec^2(θ)-4tan^2(θ) is False