Geometry

Pythagorean Identities

Pythagorean Identities

         

What is the value of

sin230+cos230? \sin^2 30 ^ \circ + \cos^2 30 ^\circ?

What is the value of

sin2π3+cos2π3? \sin^2 \dfrac{\pi}{3} + \cos^2 \dfrac{\pi}{3}?

If sinθ=13 \sin \theta = \frac { 1}{3} , what is the value of cos2θ \cos^2 \theta ?

If cosθ=32 \cos \theta = \frac {\sqrt{3}}{2} , what is the value of 1sin2θ 1-\sin^2 \theta ?

If tanθ=34 \tan \theta = \frac{3}{4}, what is the value of sin2θ+cos2θ\sin^2 \theta + \cos^2 \theta ?

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