Practice: Trigonometry Induction (Reduction) Formulas

Apply the ±α + k·π/2 framework, the odd/even rule, and quadrant sign rules to sin, cos, and tan.

Practice Questions

Click a question to start. You can retry any question.

Question 1

Reduction: π/2 − α

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Question 2

Reduction: π + α

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Question 3

Reduction: −α

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Question 4

Reduction: 3π/2 − α

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Question 5

Reduction: 3π/2 + α

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Question 6

Degrees: 330°

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Question 7

Degrees: 405°

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Question 8

Radians: 7π/6

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Question 9

Radians: 5π/3

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Question 10

Radians: 5π/4

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