AM-2671

Trigonometric ratios of any angle

A Math · Secondary 4 · Medium · Trigonometric ratios of any angle

The curve is given by

y = 3\sin(2x-\tfrac{\pi}{2})+1

. It meets the x-axis at a point P with smallest positive x-coordinate. Find the exact x-coordinate of P.

$\dfrac{3\pi}{4}+\dfrac12\sin^{-1}\!\left(\tfrac13\right)$
$\dfrac{3\pi}{4}-\dfrac12\sin^{-1}\!\left(\tfrac13\right)$
$\dfrac{\pi}{4}+\dfrac12\sin^{-1}\!\left(\tfrac13\right)$
$\dfrac{\pi}{4}-\dfrac12\sin^{-1}\!\left(\tfrac13\right)$

Sign in to check your answer and see the hint and the worked explanation. Free on PrepLab High.

Loading problem…