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

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

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

prove

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

True

Solution steps

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

Manipulating right side

cos (x) (1 + tan (x))

Express with sin, cos

= cos (x) + sin (x)

= sin (x) + cos (x)

We showed that the two sides could take the same form

\Rightarrow True

\frac{sin ( x )}{sin ( 2 x )} = \frac{1}{2 cos ( x )}

cot (θ) sec^{2} (θ) - cot (θ) = tan (θ)

2 cos (x - \frac{π}{4}) = cos (x) + sin (x)

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

7 csc^{2} (θ) - 5 cot^{2} (θ) = 2 csc^{2} (θ) + 5

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