Question

8. Use the Cofunction Theorem to fill in the blank so that the expression becomes a true statement. Tan (90° − x°) = cot9. Simplify the expression by first substituting values from the table of exact values and then simplifying the resulting expression. 3 sin2 30° + 3 cos2 30°10. Simplify the expression by first substituting values from the table of exact values and then simplifying the resulting expression. 3(sin2 45° − 2 sin 45° cos 45° + cos2 45°)11. Simplify the expression by first substituting values from the table of exact values and then simplifying the resulting expression. (tan 45° + tan 60°)212. For the expression that follows, replace x with 30° and then simplify as much as possible. 2 cos(3x − 45°)13. For the expression that follows, replace z with 90° and then simplify as much as possible. 10 cos(z − 30°)

Answer 1

8. Tan (90° − x°) = cot(x°)
9. 3 sin2 30° + 3 cos2 30° = 3/2
10. 3(sin2 45° − 2 sin 45° cos 45° + cos2 45°) = 0
11. (tan 45° + tan 60°) = √3 + 1
12. 2 cos(3(30) − 45°) = -sqrt(3)/2
13. 10 cos(90° − 30°) = 5√3