Is sin(pi/4)=cos(pi/4) ?

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

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prove sin(pi/4)=cos(pi/4)

prove

sin (\frac{π}{4}) = cos (\frac{π}{4})

True

Solution steps

sin (\frac{π}{4}) = cos (\frac{π}{4})

Manipulating left side

sin (\frac{π}{4})

Simplify

= \frac{2}{2}

Manipulating right side

cos (\frac{π}{4})

Simplify

= \frac{2}{2}

We showed that the two sides could take the same form

\Rightarrow True

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

sin (3 a) + sin (a) = 4 sin (a) - 4 sin (3 a)

tan (β) = \frac{cos ( β )}{sin ( β ) cot ^{2} ( β )}

cos (2 θ) = cos^{(2)} (θ) - sin^{(2)} (θ)

2 sec (β) = 2 \cdot \frac{1}{cos ( β )}