SOLUTION: the cosine of an angle in a right triangle is 4/7. what is the sine of this angle?

Question 568645: the cosine of an angle in a right triangle is 4/7. what is the sine of this angle?
Answer by nyc_function(2741) (Show Source): You can put this solution on YOUR website!
Cosine = adjacent side of triangle divied by hypotenuse.

We use the Pythagorean Theorem from geometry to find the opposite side of the triangle.

x^2 + 4^2 = 7^2

x^2 + 16 = 49

x^2 = 49 - 16

x^2 = 33

sqrt{x^2} = sqrt{33}

x = sqrt{33}, which means square root 33.

Sine = opposite side of triangle divided by hypotenuse.

sine = sqrt{33}/7

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