What is (1+sin(x))(1-sin(x)) ?

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

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simplify (1+sin(x))(1-sin(x))

simplify

(1 + sin (x)) (1 - sin (x))

cos^{2} (x)

Solution steps

(1 + sin (x)) (1 - sin (x))

Expand

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

= 1 - sin^{2} (x)

Rewrite using trig identities

= cos^{2} (x)

\frac{cos ( x )}{cot ( x )}

cos^{2} (4 x) + sin^{2} (4 x)

\frac{100.15 - 500.05}{2.5938 \cdot \frac{1}{20} + \frac{1}{20}}

\frac{5}{3 x} \cdot \frac{6 x}{5 x + 10}

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