1. Express in terms of cos only the expression 2. Express in terms of sin only the...

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1. Express in terms of cosθ only the expression

2 cos 0-3cos 20+7

2. Express in terms of sinθ only the expression

5 cos 20+ cos 0-3

3. If x = tan π/8, use formula (6.5c) to show that 2x = 1 − x2. Thus, determine tan π/8.

4. Solve the following equations for values of θ in the interval 0 ≤ θ

(a) 3 cos 20 - cos 0+1=0 (b) 5 sin 0-2 cos 20+3 = 0

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