COMPOUND ANGLE FORMULA PRACTICE PROBLEMS

Problem 1 :

Express each of the following in the form sin α, where α is acute.

a) sin 10° cos 30° + cos 10° sin 30°       Solution

b) sin 67° cos 18° - cos 67° sin 18°        Solution

c) sin 62° cos 74° + cos 62° sin 74°       Solution

d) cos 14° cos 39° - sin 14° sin 39°     Solution

Problem 2 :

Express as a single trigonometric ratio.

a) cos A cos 2A - sin A sin 2A     Solution

b) sin 4A cos B - cos 4A sin B       Solution

c) cos A cos 3A + sin A sin 3A       Solution

Answer Key

1)

a)  sin 40°

b)  sin 49°

c)  sin 136°

d)  cos 53°

2)

a)  cos 3A

b)  sin (4A - B)

c)  cos 2A

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