Is sin(pi/4)=(sqrt(2))/2 ?

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

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prove sin(pi/4)=(sqrt(2))/2

prove

sin (\frac{π}{4}) = \frac{2}{2}

True

Solution steps

sin (\frac{π}{4}) = \frac{2}{2}

Manipulating left side

sin (\frac{π}{4})

Simplify

= \frac{2}{2}

We showed that the two sides could take the same form

\Rightarrow True

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

tan (a) cos (a) = sin (a)

sin (x) (sec (x) + csc (x)) = tan (x) + 1

1 - cot (x) = (csc^{2} (x) - 2 cot (x))

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