Exact Trigonometric Values (HSC SSCE Mathematics Advanced): Quizzes

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Exact Trigonometric Values
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What does 'TOA' represent in the SOHCAHTOA mnemonic?

tan⁡=OppositeAdjacent\tan = \frac{\text{Opposite}}{\text{Adjacent}}

What is the exact value of sin⁡45°\sin 45° in rationalized form?

22\frac{\sqrt{2}}{2}

What is the exact value of cos⁡60°\cos 60°?

12\frac{1}{2}

What is the exact value of tan⁡30°\tan 30°?

13\frac{1}{\sqrt{3}}

What is the side ratio of a 45-45-90 triangle?

1:1:21 : 1 : \sqrt{2}

What is the side ratio of a 30-60-90 triangle?

1:3:21 : \sqrt{3} : 2

Which equation shows the complementary angle relationship for sine?

sin⁡θ=cos⁡(90°−θ)\sin \theta = \cos(90° - \theta)

What is 12\frac{1}{\sqrt{2}} when rationalized?

22\frac{\sqrt{2}}{2}

If tan⁡θ=3\tan \theta = \sqrt{3}, what is the angle θ\theta?

60°60°

What is the exact value of sin⁡90°\sin 90°?

11

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