What is the value of sin^2((3pi)/4)+cos^2((3pi)/4) ?

The value of sin^2((3pi)/4)+cos^2((3pi)/4) is 1

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sin^2((3pi)/4)+cos^2((3pi)/4)

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

1

Solution steps

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

Use the following trivial identity:

sin (\frac{3 π}{4}) = \frac{2}{2}

Use the following trivial identity:

cos (\frac{3 π}{4}) = - \frac{2}{2}

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

Simplify

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

= 1

2 sin (2 π) + 3 cos (2 π)

\frac{sec ( 33 0 ^{\circ} )}{cot ( 21 0 ^{\circ} )}

\frac{7 sin ( 0.001 )}{( 0.001 )}

arctan (7.1)

\frac{7.55 \cdot sin ( 7 0 ^{\circ} )}{sin ( 4 0 ^{\circ} )}

What is the value of sin^2((3pi)/4)+cos^2((3pi)/4) ?
The value of sin^2((3pi)/4)+cos^2((3pi)/4) is 1