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AustraliaVIC
VCE 11 Methods 2023

8.10 Trigonometric 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

U2.AoS1.2

the relationships sin(x) for small values of x , sin^2(x) + cos^2(x)=1 and tan(x)= sin(x)/cos(x)

U2.AoS1.13

sin(x)=x for small values of x

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