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2 years ago

Given sin θ = 7/25, find the value of a and b in the following statements.

Mathematics

2 answers:

N76 [4]2 years ago

8 0

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?

Sergeu [11.5K]2 years ago

3 0

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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