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

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

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expand cos^2(x)*(tan(x)+1)-1

expand

cos^{2} (x) \cdot (tan (x) + 1) - 1

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

Solution steps

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

Apply the distributive law:

a (b + c) = ab + a c

cos^{2} (x) (tan (x) + 1) = cos^{2} (x) tan (x) + cos^{2} (x) \cdot 1

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

Simplify

cos^{2} (x) tan (x) + cos^{2} (x) \cdot 1 : \frac{tan ( x ) + 1}{sec ^{2} ( x )}

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

(x^{- 2} y = \frac{3 x ^{2}}{2} + c) \frac{1}{x ^{- 2}}

8 (e^{- 0.4 x} - e^{- 0.6 x})

(\frac{x + 2}{x})^{4}

R (4, 0) y S (- 3, - 1)

(5 w^{2} - 4) (5 w^{2} - \frac{3}{2})

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