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

For

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

plug in

θ = 1

(1 - tan^{2} (1))^{2} = 2.03210 \dots

(1 - tan^{2} (1))^{2}

Refine to a decimal form

= 2.03210 \dots

sec^{2} (1) - 4 tan^{2} (1) = - 6.27655 \dots

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

Refine to a decimal form

= - 6.27655 \dots

The two sides are not equal

\Rightarrow False

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