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4. Given: θ is in the third quadrant, Φ is in the second quadrant, sin θ = -5/13, and tan Φ = -8/15; find the value of sin(θ + Φ).
A. -21/221
B. 171/221
5. Given: θ is in the third quadrant, Φ is in the second quadrant, sin θ = -5/13, and tan Φ = -8/15; find the value of sin(π + θ).
A. 5/12
B. 1
7. Given: α and β are first-quadrant angles, sin α = 5/13, and cos β = 3/5, evaluate sin(α - β).
A. 33/65
B. -33/65
9. Given: α and β are first-quadrant angles, sin α = 5/13, and cos β = 3/5, evaluate cos(α - β).
A. 33/65
B. 56/65
10. Given: α and β are first-quadrant angles, sin α = 5/13, and cos β = 3/5, evaluate tan(α - β).
A. -21/56
B. -33/56