What is expand cos^2(θ)(1+tan(θ)) ?

The solution to expand cos^2(θ)(1+tan(θ)) is (tan(θ)+1)/(sec^2(θ))

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expand cos^2(θ)(1+tan(θ))

expand

cos^{2} (θ) (1 + tan (θ))

\frac{tan ( θ ) + 1}{sec ^{2} ( θ )}

Solution steps

cos^{2} (θ) (1 + tan (θ))

Apply the distributive law:

a (b + c) = ab + a c

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

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

Simplify

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

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

3 l e f t (X - 5)^{7}

\frac{( x ^{2} + 1 ) ^{4}}{8}

(x + 6 - 3) (x + 6 + 3)

(\frac{4}{x} - \frac{1}{x ^{3}})^{2}

(\frac{1}{20} e^{\frac{x}{20}} - \frac{1}{20} e^{- \frac{x}{20}})^{2}

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