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

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

Popular >

expand (1+tan(x))(1-tan(x))sec^2(x)

expand

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

sec^{2} (x) - sec^{2} (x) tan^{2} (x)

Solution steps

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

= sec^{2} (x) (1 + tan (x)) (1 - tan (x))

Apply Difference of Two Squares

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

= sec^{2} (x) (1 - tan^{2} (x))

Apply the distributive law:

a (b - c) = ab - a c

sec^{2} (x) (1 - tan^{2} (x)) = sec^{2} (x) \cdot 1 - sec^{2} (x) tan^{2} (x)

= sec^{2} (x) \cdot 1 - sec^{2} (x) tan^{2} (x)

Apply rule:

a \cdot 1 = a

sec^{2} (x) \cdot 1 = sec^{2} (x)

= sec^{2} (x) - sec^{2} (x) tan^{2} (x)

(e^{17 x} + e^{- 17 x})^{2}

2 (7 + 8)

\frac{1}{( s - 1 ) ^{2} ( s + 1 )}

\frac{x e ^{x}}{( x + 1 ) ^{2}}

f (x, y) (- 2 x^{2} - x y - 2 y^{2} + 100 x + 100 y)

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