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

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

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

prove

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

True

Solution steps

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

Manipulating left side

sin (x) (1 + cot (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

arcsin (x) = \frac{1}{sin ( x )}

cot (\frac{π}{2} - x) csc (x) = sec (x)

csc^{2} (x) + sec^{2} (x) = csc^{2} (x) sec^{2} (x)

cos (6 0^{\circ}) = cos^{2} (3 0^{\circ}) - sin^{2} (3 0^{\circ})

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

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