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

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

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

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

1

Solution steps

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

Use the following trivial identity:

cos (\frac{π}{4}) = \frac{2}{2}

Use the following trivial identity:

sin (\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

sec (\frac{11 π}{8})

7 arctan (1)

3 (2.5) + sin (2.5) - e^{2.5}

arccos (\frac{1}{2 \cdot 29})

cos^{2} (\frac{π}{11}) - sin^{2} (\frac{π}{11})

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