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Right Triangles and Trigonometry

SAT Math· difficulty 5/5

If sec⁡θ=53\sec\theta=\frac{5}{3} for acute θ\theta, what is sin⁡θ\sin\theta?

  • A

    45\frac{4}{5}

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  • B

    35\frac{3}{5}

  • C

    34\frac{3}{4}

  • D

    54\frac{5}{4}

Explanation

cos⁡θ=35\cos\theta=\frac{3}{5}, so sin⁡θ=45\sin\theta=\frac{4}{5} (positive for acute).

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