Solution of trigonometric equations (AQA GCSE Further Maths): Quizzes

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Solution of trigonometric equations
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What is the alternative expression for tan⁡θ\tan \theta using sine and cosine?

sin⁡θcos⁡θ\frac{\sin \theta}{\cos \theta}

At which angles does the tangent function have asymptotes (become undefined)?

90°,270°90°, 270°

Why do asymptotes occur in the tangent function?

We cannot divide by zero

What is the period of the tangent function?

180°180°

What is the range for principal values given by calculators for sine?

Between −90°-90° and 90°90°

What is the range for principal values given by calculators for cosine?

Between 0°0° and 180°180°

What mode must your calculator be in when solving trigonometric equations in degrees?

Degrees mode (look for 'D' or 'DEG')

For sine equations, what formula gives the second angle from principal value θ\theta?

180°−θ180° - \theta

For cosine equations, what formula gives the second angle from principal value θ\theta?

360°−θ360° - \theta

For tangent equations, what formula gives the second angle from principal value θ\theta?

θ+180°\theta + 180°

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Coordinate geometry

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Coordinate geometry

Geometry I

Geometry II

Explore AQA GCSE Further Maths Exam Questions by Topics

Coordinate geometry

Geometry I

Geometry II

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