Is cos(x)+sin(x)tan(x)= 1/(cos(x)) ?

The answer to whether cos(x)+sin(x)tan(x)= 1/(cos(x)) is True

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prove cos(x)+sin(x)tan(x)= 1/(cos(x))

prove

cos (x) + sin (x) tan (x) = \frac{1}{cos ( x )}

True

Solution steps

cos (x) + sin (x) tan (x) = \frac{1}{cos ( x )}

Manipulating left side

cos (x) + sin (x) tan (x)

Express with sin, cos

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

Rewrite using trig identities

= \frac{1}{cos ( x )}

We showed that the two sides could take the same form

\Rightarrow True

cos (α + β) - cos (α - β) = - 2 sin (α) sin (β)

tan (θ) \cdot csc (θ) = \frac{1}{cos ( θ )}

cos (2 θ) = \frac{csc ^{2} ( θ ) - 2}{csc ^{2} ( θ )}

tan (a) = \frac{1}{cot ( a )}

cos^{4} (x) + sin^{4} (x) = 1

Is cos(x)+sin(x)tan(x)= 1/(cos(x)) ?
The answer to whether cos(x)+sin(x)tan(x)= 1/(cos(x)) is True