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iris [78.8K]
3 years ago
15

An angle, θ, is in standard position. The terminal side of the angle passes through the point (4, 5).

Mathematics
1 answer:
lara31 [8.8K]3 years ago
5 0

Answer:

cos Θ = \frac{4}{\sqrt{41} }

Step-by-step explanation:

Given the angle passes through (4, 5 ) then the right triangle with sides 4 and 5 has hypotenuse h given by

h² = 4² + 5² = 16 + 25 = 41 ( take the square root of both sides )

h = \sqrt{41}

In relation to Θ, 4 is adjacent and 5 is opposite, thus

cos Θ = \frac{adjacent}{hypotenuse} = \frac{4}{\sqrt{41} }

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