Is prove+sin(z+w)=sin(z)cos(w)+cos(z)sin(w) ?

The answer to whether prove+sin(z+w)=sin(z)cos(w)+cos(z)sin(w) is True

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prove+sin(z+w)=sin(z)cos(w)+cos(z)sin(w)

prove

+ sin (z + w) = sin (z) cos (w) + cos (z) sin (w)

True

Solution steps

sin (z + w) = sin (z) cos (w) + cos (z) sin (w)

Use the Angle Sum identity:

sin (s + t) = sin (s) cos (t) + cos (s) sin (t)

\Rightarrow True

(sin^{2} (x) + cos^{2} (x))^{5} = 1

\frac{cot ^{2} ( x ) - 1}{2 cot ( x )} = cot (2 x)

csc (θ) = \frac{sec ( θ )}{tan ( θ )}

tan^{2} (B) - sin^{2} (B) = tan^{2} (B) sin^{2} (B)

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

Is prove+sin(z+w)=sin(z)cos(w)+cos(z)sin(w) ?
The answer to whether prove+sin(z+w)=sin(z)cos(w)+cos(z)sin(w) is True