Trigonometric Equations (Grade 11 NSC Matric Mathematics): Quizzes

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Trigonometric Equations
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10 questions from this quiz

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What is the range of a reference angle?

Between 0°0° and 90°90°

In which quadrants is tan⁡θ\tan \theta positive?

Quadrants I and III

What is the period of the tangent function?

180°180°

What is the reduction formula for the third quadrant?

θ=180°+ref angle\theta = 180° + \text{ref angle}

Why do trigonometric equations have multiple solutions?

Functions are periodic

In which quadrants is sin⁡θ\sin \theta positive?

Quadrants I and II

For general solution of sin⁡θ\sin \theta, what do you add?

k×360°k \times 360°

Which methods solve quadratic trigonometric equations?

Factoring or substitution

For cos⁡2θ\cos 2\theta, how is the period adjusted?

Divide 360°360° by 22

What is the reduction formula for the fourth quadrant?

θ=360°−ref angle\theta = 360° - \text{ref angle}

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