Trigonometric graphs and exact valuesAQA A-Level Maths: Mind map

Exam questions on Trigonometric graphs and exact values

1. The curve $y=\sin x$ is drawn for $0\le x\le2\pi$, where $x$ is in radians.
   Use the symmetry of the graph to find both solutions of $\sin x=-\frac12$ in the interval, in terms of $\pi$.2 marks
2. The function $g(x)=\tan x$ is considered for $x$ in degrees.
   Given that $\tan40^\circ=t$, write down in terms of $t$ (i) $\tan140^\circ$, (ii) $\tan220^\circ$.2 marks
3. The points $P$ and $Q$ lie on the curve $y=\cos x$, where $x$ is in radians. The $x$-coordinate of $P$ is $\frac{\pi}{3}$ and the $x$-coordinate of $Q$ is $\frac{2\pi}{3}$.
   Find the exact distance $PQ$.3 marks