(a)[3]
Find the coordinates for $A$ and $B$.
(b)[2]
Find the exact value of $t$ that makes the equation $3\sin^{-1}(3t) + 2\cos^{-1}\left(\frac{1}{2}\sqrt{2}\right) = \pi$ true.
Mathematics 9709 · AS & A Level · Trigonometry
Trigonometry — practice question
The diagram depicts the curve $y = k\cos(x - \frac{1}{6}\pi)$, where $k$ is a positive constant and $x$ is measured in radians. The curve meets the $x$-axis at point $A$, and $B$ is a minimum point.