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

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

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

simplify

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

1

Solution steps

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

Express with sin, cos

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

Rewrite using trig identities

= 1

3 lo g_{10} (x) + 2 lo g_{10} (z^{5}) - lo g_{10} (y)

(2 x^{2} - y^{3})^{2}

(s - 2) (s + 3)

4 (x + 3)

cos (2 x + x)

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