COS A PLUS B FORMULA WORKSHEET

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

Problem 1 :

cos 14º cos 39º - sin 14º sin 39º

Solution

Problem 2 :

Express as a single trigonometric ratio.

a. cos A cos 2A - sin A sin 2A

b. cos A cos 3A + sin A sin 3A

Solution

Problem 3 :

cos 38º cos 8º + sin 38º sin 8º is equal to.

a)  cos 30º  b)  cos 60º   c)   cos 45º   d)  cos 38º

Solution

Problem 4 :

Find the value of k such that for all real values of x.

cos x + 𝜋3 - cos x - 𝜋3 k sin x

Solution

Problem 5 :

Prove each identity.

cos x - cos x - 𝜋3 cos x + 𝜋3

Solution

Problem 6 :

Rewrite each expression as a single trigonometric ratio.

cos 4x cos 3x - sin 4x sin 3x

Solution

Problem 7 :

Rewrite each expression as a single trigonometric ratio, and then evaluate the ratio.

cos 5𝜋12 cos 𝜋12 + sin 5𝜋12 sin 𝜋12

Solution

Answer Key

1) cos 53º

2)  a) cos 3A    b)  cos 4A

3)  cos 30º

4)  the value of k is -√3.

6)  cos 7x

7)  1/2

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