Question

4. tan Θ if sin = 1/2 90° ≤ Θ ≤ 180°

a. -√(3)/2
b. -√(3)/3
c. √(3)/2
d. √(3)/3

5. Find the value of
tan Θ if cot Θ = 2 0 ≤ Θ < 90° (write your answer as a fraction)

tan =

Answer 1

9514 1404 393

Answer:

4. b =-√(3)/3

5. 1/2

Explanation:

4. The tangent is negative in the second quadrant. The sine value tells you the reference angle is 30°, so the actual angle is 150°. The corresponding tangent is ...

tan(150°) = -(√3)/3

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5. The cotangent is the inverse of the tangent, and vice versa.

tan = 1/cot

tan(θ) = 1/2