Is sin(x)(sec(x)+csc(x))=tan(x)+1 ?

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

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prove sin(x)(sec(x)+csc(x))=tan(x)+1

prove

sin (x) (sec (x) + csc (x)) = tan (x) + 1

True

Solution steps

sin (x) (sec (x) + csc (x)) = tan (x) + 1

Manipulating left side

sin (x) (sec (x) + csc (x))

Express with sin, cos

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

Manipulating right side

tan (x) + 1

Express with sin, cos

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

We showed that the two sides could take the same form

\Rightarrow True

1 - cot (x) = (csc^{2} (x) - 2 cot (x))

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

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

1 - cos^{2} (θ) = sin (θ) cos (θ) tan (θ)

arctan (x) = \frac{1}{tan ( x )}

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