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Q: A: If 0° ≤ θ ≤ 90° and cosθ = 11 15 , what is the value of sin (90° - θ)?

Q: A: If 0° ≤ θ ≤ 90° and cosθ = 11 15 , what is the value of sin (90° - θ)?
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5 votes
Q: A: If 0° ≤ θ ≤ 90° and cosθ = 11 15 , what is the value of sin (90° - θ)?

User Tjmcewan
by
6.9k points

1 Answer

1 vote
cos Ф = 11/5. Calculate the value of angle Ф:

cos⁻¹(11/15) = 42.83342807°

sin(90-Ф) =sin (90-42.83342807) = sin(47.16657193) = 11/5

So cos Ф = sin(90-Ф) = 11/15
User Prex
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