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7.085 Pythagorean identities

Interactive practice questions

Find the exact value of $\sin^2\left(20^\circ\right)+\cos^2\left(20^\circ\right)$sin2(20°)+cos2(20°).

Easy
1min

Find the exact value of $\sin^2\left(\frac{\pi}{5}\right)+\cos^2\left(\frac{\pi}{5}\right)$sin2(π5)+cos2(π5).

Easy
< 1min

Given that $\cos x=\frac{12}{13}$cosx=1213 where $x$x is in the first quadrant, answer the following questions.

Easy
3min

Given that $\sin\theta=\frac{\sqrt{3}}{2}$sinθ=32 for $90^\circ<\theta<180^\circ$90°<θ<180°, find the value of $\cos\theta$cosθ using the Pythagorean identity.

Easy
2min
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Outcomes

2.3.2.7

solve equations involving trigonometric functions with and without technology

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