Given sin θ = 7/25, find the value of a and b in the following statements.
2 answers:
Answer:
sin θ = 7/25 so θ =16.26
So tan θ = tan 16.26 = 7/24 = a/24 so a =7
sec θ = 1.17445580142 = 25/b so b = -21
Brainliest?
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 -)
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