What is (1-sin^2(x))(1+tan^2(x)) ?

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

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simplify (1-sin^2(x))(1+tan^2(x))

simplify

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

1

Solution steps

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

Express with sin, cos

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

Rewrite using trig identities

= 1

x y + x

\frac{9}{2} - \frac{3}{2}

2.5 \cdot 1 0^{4}

(3 x - 2 y)^{5}

(y - 12)^{2}

What is (1-sin^2(x))(1+tan^2(x)) ?
The solution to (1-sin^2(x))(1+tan^2(x)) is 1