Practice: Trigonometric Identity Transformations

Test your understanding of double angle, half angle, sum-to-product, product-to-sum, and triple angle formulas.

Practice Questions

Click a question to start. Questions cover all major trigonometric identity transformations.

Question 1

Double Angle: sin(2α)

double angle

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Question 2

Double Angle: cos(2α) Forms

double angle

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Question 3

Half Angle: sin(15°)

half angle

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Question 4

Power Reduction: cos²(15°) - sin²(15°)

half angle

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Question 5

Half Angle: tan(α/2)

half angle

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Question 6

Sum-to-Product: sin(70°) + sin(10°)

sum to-product

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Question 7

Product-to-Sum: sin(50°)cos(20°)

product to-sum

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Question 8

Triple Angle: sin(90°) using sin(3×30°)

triple angle

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Question 9

Power Reduction: sin²(22.5°)

half angle

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Question 10

Double Angle Application: cos(α) = 3/5

double angle

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Question 11

Mixed: cos(A + B) using Product-to-Sum

mixed

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Question 12

Sum-to-Product: cos(A) - cos(B)

sum to-product

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