What is (1-sin(θ))(1+sin(θ)) ?

The solution to (1-sin(θ))(1+sin(θ)) is cos^2(θ)

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simplify (1-sin(θ))(1+sin(θ))

simplify

(1 - sin (θ)) (1 + sin (θ))

cos^{2} (θ)

Solution steps

(1 - sin (θ)) (1 + sin (θ))

Expand

(1 + sin (θ)) (1 - sin (θ)) : 1 - sin^{2} (θ)

= 1 - sin^{2} (θ)

Rewrite using trig identities

= cos^{2} (θ)

2 cos^{2} (2 x) - 2 sin^{2} (2 x)

(x + 1)^{2} + (x + 4)^{2} - 2 x^{2} - 10 x

\frac{sec ( θ )}{cos ( θ )}

(a + b)^{20}

(3.95)^{3}