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CanadaON
Grade 12

Sums and differences as products (rad)

Interactive practice questions

Use the product-to-sum identities to express $2\cos\left(3x\right)\cos\left(9x\right)$2cos(3x)cos(9x) as a sum or difference of two trigonometric functions.

Easy
2min

Express $\cos\left(3x+2y\right)\cos\left(x-y\right)$cos(3x+2y)cos(xy) as a sum or difference of two trigonometric functions.

Easy
6min

Express $2\sin\left(3x\right)\sin\left(4x\right)$2sin(3x)sin(4x) as a sum or difference of two trigonometric functions by using the product-to-sum identities.

Easy
1min

Express $\sin\left(6x\right)+\sin\left(4x\right)$sin(6x)+sin(4x) as a product of two trigonometric functions.

Easy
2min
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Outcomes

12F.B.3.2

Explore the algebraic development of the compound angle formulas, and use the formulas to determine exact values of trigonometric ratios

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