Is sin(a+b)=sin(a)cos(b)+cos(a)sin(b) ?

The answer to whether sin(a+b)=sin(a)cos(b)+cos(a)sin(b) is True

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prove sin(a+b)=sin(a)cos(b)+cos(a)sin(b)

prove

sin (a + b) = sin (a) cos (b) + cos (a) sin (b)

True

Solution steps

sin (a + b) = sin (a) cos (b) + cos (a) sin (b)

Use the Angle Sum identity:

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

\Rightarrow True

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

tan (θ + \frac{π}{2}) = - cot (θ)

sin (B) + cos (B) cot (B) = csc (B)

3 sin (5 π - x) = 3 sin (x)

cos^{2} (θ) = \frac{1 + cos ( 2 θ )}{2}

Is sin(a+b)=sin(a)cos(b)+cos(a)sin(b) ?
The answer to whether sin(a+b)=sin(a)cos(b)+cos(a)sin(b) is True