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If sin θ = 12 over 37, use the Pythagorean Identity to find cos θ.

Heather Maxwell

in Mathematics

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Nicholas Rivera on August 8, 2018

We are asked to find and solve cos θ and the os sinθ = 12/37 Through the review of SOH CAH TOA, we know that the opposite measurement is equal to 12 units and the measure of the hypotenuse is equal to 37 units. As it is also mentioned in the problem we can apply the Pythagorean theorem, it means that the given is a right triangle. Then, we can apply c2 = a2 + b2 in the formula.The solution to that side adjacent, we have:372 = 122 + a2a = 35Solving to cosθ, we have CAH:cosθ = 35/37θ = 18.93°


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