Answer:
a = 7, b = 24 if quadrant 1
a = -7, b = -24 if quadrant 2
Step-by-step explanation:
Tan theta = sin(theta) × sec(theta)
a/24 = (7/25) × (25/b)
ab = 168
a = 168/b
1 + tan²(theta) = sec²(theta)
1 + a²/576 = 625/b²
1 + 168²/576b² = 625/b²
1 = 576/b²
b = 24 (+ or -)
a = 168/24 = 7 (+ or -)
