Solving Trigonometric Equations (Grade 10 NSC Matric Mathematics): Quizzes

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Solving Trigonometric Equations
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What is the trigonometric ratio for sine?

sin⁡θ=oppositehypotenuse\sin \theta = \frac{\text{opposite}}{\text{hypotenuse}}

In SOH CAH TOA, what does CAH represent?

cos⁡=adjacenthypotenuse\cos = \frac{\text{adjacent}}{\text{hypotenuse}}

You know the opposite and adjacent sides. Which ratio finds the angle?

tan⁡−1(oppositeadjacent)\tan^{-1}\left(\frac{\text{opposite}}{\text{adjacent}}\right)

When should you use inverse trigonometric functions?

When finding angles from known ratios

What key is essential for accessing inverse trig functions on a calculator?

SHIFT (or 2nd) key

What is the maximum value of cosine?

1

Which side is always the longest in a right-angled triangle?

Hypotenuse

Why does cos⁡α=2.14\cos \alpha = 2.14 have no solution?

2.14 > 1 and max value of cosine is 1

How should angles typically be rounded in answers?

1 decimal place

You have hypotenuse 10 and need opposite side. Which equation do you use?

sin⁡θ=opposite10\sin \theta = \frac{\text{opposite}}{10}

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