Is sin((3pi)/4)=sin(3/4 pi+2pi) ?

The answer to whether sin((3pi)/4)=sin(3/4 pi+2pi) is True

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prove sin((3pi)/4)=sin(3/4 pi+2pi)

prove

sin (\frac{3 π}{4}) = sin (\frac{3}{4} π + 2 π)

True

Solution steps

sin (\frac{3 π}{4}) = sin (\frac{3}{4} π + 2 π)

Manipulating left side

sin (\frac{3 π}{4})

Simplify

= \frac{2}{2}

Manipulating right side

sin (\frac{3}{4} π + 2 π)

Rewrite using trig identities

= \frac{2}{2}

We showed that the two sides could take the same form

\Rightarrow True

\frac{cos ( θ ) + cos ( 3 θ )}{2 cos ( θ )} = cos (2 θ)

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

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

3 tan (x) = 4 sin (x)

sin (x) + cos (x) = 2 sin (x + \frac{π}{4})

Is sin((3pi)/4)=sin(3/4 pi+2pi) ?
The answer to whether sin((3pi)/4)=sin(3/4 pi+2pi) is True