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

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

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

prove

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

True

Solution steps

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

Manipulating left side

tan (θ) + 1

Express with sin, cos

= \frac{cos ( θ ) + sin ( θ )}{cos ( θ )}

We showed that the two sides could take the same form

\Rightarrow True

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sec^{4} (x) = tan^{4} (x)

1 - cos (\frac{π}{n}) = 2 sin^{2} (\frac{π}{2 n})

cos^{3} (x) = cos (x) - sin^{2} (x) cos (x)

cos (\frac{7 π}{12}) = cos (\frac{π}{3} + \frac{π}{4})

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