school
Acemy

Right Triangles and Trigonometry

SAT Math· difficulty 4/5

If sin⁡α=cos⁡β\sin\alpha=\cos\beta and both α\alpha and β\beta are acute, what is α+β\alpha+\beta?

  • A

    90°90°

    check_circle
  • B

    180°180°

  • C

    60°60°

  • D

    45°45°

Explanation

sin⁡α=cos⁡β=sin⁡(90°−β)\sin\alpha=\cos\beta=\sin(90°-\beta), so α=90°−β\alpha=90°-\beta, i.e., α+β=90°\alpha+\beta=90°.

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