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Right Triangles and Trigonometry

SAT Math· difficulty 4/5

If sin⁡θ=14\sin\theta=\frac{1}{4} and θ\theta is acute, what is tan⁡θ\tan\theta?

  • A

    15\sqrt{15}

  • B

    154\frac{\sqrt{15}}{4}

  • C

    117\frac{1}{\sqrt{17}}

  • D

    115\frac{1}{\sqrt{15}}

    check_circle

Explanation

cos⁡θ=154\cos\theta=\frac{\sqrt{15}}{4}. tan⁡θ=1/415/4=115\tan\theta=\frac{1/4}{\sqrt{15}/4}=\frac{1}{\sqrt{15}}.

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