Is sin(2z)=sin(z)cos(z)+cos(z)sin(z) ?

The answer to whether sin(2z)=sin(z)cos(z)+cos(z)sin(z) is True

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prove sin(2z)=sin(z)cos(z)+cos(z)sin(z)

prove

sin (2 z) = sin (z) cos (z) + cos (z) sin (z)

True

Solution steps

sin (2 z) = sin (z) cos (z) + cos (z) sin (z)

Manipulating left side

sin (2 z)

Rewrite using trig identities

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

We showed that the two sides could take the same form

\Rightarrow True

\frac{1}{tan ( x )} + \frac{1}{cot ( x )} = sec (x) csc (x)

\frac{( tan ( x ) cot ( x ) )}{cos ( x )} = sec (x)

2 cos (2 x) = sin (2 x + 90)

\frac{sec ( a ) + csc ( a )}{1 + tan ( a )} = csc (a)

cot (\frac{t}{2}) = \frac{sin ( t )}{1 - cos ( t )}

Is sin(2z)=sin(z)cos(z)+cos(z)sin(z) ?
The answer to whether sin(2z)=sin(z)cos(z)+cos(z)sin(z) is True