What is the value of sin^2(pi/4)+cos^2(pi/4) ?

The value of sin^2(pi/4)+cos^2(pi/4) is 1

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sin^2(pi/4)+cos^2(pi/4)

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

1

Solution steps

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

Use the following trivial identity:

sin (\frac{π}{4}) = \frac{2}{2}

Use the following trivial identity:

cos (\frac{π}{4}) = \frac{2}{2}

= (\frac{2}{2})^{2} + (\frac{2}{2})^{2}

Simplify

(\frac{2}{2})^{2} + (\frac{2}{2})^{2} : 1

= 1

cos (- 7 π)

25 cos (6 0^{\circ})

arccos (0.16)

arccos (0.11)

arccos (0.44)

What is the value of sin^2(pi/4)+cos^2(pi/4) ?
The value of sin^2(pi/4)+cos^2(pi/4) is 1