school
Acemy

Right Triangles and Trigonometry

SAT Math· difficulty 4/5

If tan⁡θ=2\tan\theta=2 for acute θ\theta, what is sin⁡θcos⁡θ\sin\theta\cos\theta?

  • A

    45\frac{4}{5}

  • B

    15\frac{1}{5}

  • C

    12\frac{1}{2}

  • D

    25\frac{2}{5}

    check_circle

Explanation

Right triangle with opposite 22, adjacent 11, hypotenuse 5\sqrt{5}. sin⁡θ=25\sin\theta=\frac{2}{\sqrt 5}, cos⁡θ=15\cos\theta=\frac{1}{\sqrt 5}. Product =25=\frac{2}{5}.

Want 10 more like this — adaptive to your weak spots?

Practice 10 like thisarrow_forwardPredict my AP score

Related questions

auto_awesomeAll Toolsquestion_answerHomework Q&Amenu_bookAP & SAT PreptimelineLearn Mode