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Right Triangles and Trigonometry

SAT Math· difficulty 4/5

If sin⁡θ=23\sin\theta=\frac{2}{3} and θ\theta is acute, what is sin⁡2θ+cos⁡2θ\sin^2\theta+\cos^2\theta?

  • A

    49\frac{4}{9}

  • B

    11

    check_circle
  • C

    59\frac{5}{9}

  • D

    139\frac{13}{9}

Explanation

Pythagorean identity: always 11.

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