Defining the Trigonometric Ratios (Grade 10 NSC Matric Mathematics): Quizzes

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Defining the Trigonometric Ratios
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What do trigonometric ratios connect in right-angled triangles?

Angles and sides

Which side of a right-angled triangle is always opposite the right angle?

The hypotenuse

What is the formula for the sine ratio?

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

What is the formula for the cosine ratio?

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

What is the formula for the tangent ratio?

tan⁡θ=oppositeadjacent\tan \theta = \frac{\text{opposite}}{\text{adjacent}}

In SOH CAH TOA, what does CAH represent?

Cosine = Adjacent/Hypotenuse

Which trigonometric ratios involve the hypotenuse?

Sine and cosine

When can trigonometric ratios be applied?

Only with right-angled triangles

If opposite = 4, adjacent = 3, and hypotenuse = 5, what is tan⁡A\tan A?

43\frac{4}{3}

Which side remains the same when considering different angles in a right-angled triangle?

The hypotenuse

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