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CanadaON
Grade 12

Sums and differences as products (deg/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

Evaluate $\cos105^\circ\cos15^\circ$cos105°cos15° by first expressing it as a sum or difference of two trigonometric functions using the product-to-sum identities.

Easy
4min

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
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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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