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

tan θ = a/24 sec θ = 25/b

Question

Mathematics

Lexi

16 November, 18:16

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

tan θ = a/24 sec θ = 25/b

+1

Answers (2)

Know the Answer?

Brett Kirk · Answer 1

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 - )

Zoie Hansen · Answer 2

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

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Given sin θ = 7/25, find the value of a and b in the following statements.tan θ = a/24 sec θ = 25/b

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

tan θ = a/24 sec θ = 25/b