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Solving expressions using 30-60-90 special right triangles

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Intros
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Lessons
  1. What are special triangles?
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Examples
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Lessons
  1. If θ=30∘ \theta = 30^\circ , find the exact value of the following expressions.
    1. sin⁡2θ \sin 2 \theta
    2. cos⁡22θ \cos^2 2 \theta
    3. tan⁡2θ2{{\tan^2 \theta} \over 2}
  2. If θ=60∘ \theta = 60^\circ , find the exact value of the following expressions.
    1. 4sin⁡3θ2 4 \sin^3 {\theta \over 2}
    2. 23cos⁡2θ2{2 \over {{3 \cos^2}{ \theta \over 2}}}
    3. 3tan⁡3θ23 \tan^3 {\theta \over 2}