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Right Triangles and Trigonometry

SAT Math· difficulty 3/5

In right triangle, cos⁡θ=817\cos\theta=\frac{8}{17}. What is sin⁡θ\sin\theta?

  • A

    1715\frac{17}{15}

  • B

    1517\frac{15}{17}

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  • C

    815\frac{8}{15}

  • D

    158\frac{15}{8}

Explanation

sin⁡2θ=1−64289=225289\sin^2\theta=1-\frac{64}{289}=\frac{225}{289}. sin⁡θ=1517\sin\theta=\frac{15}{17}.

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