Trigonometric functions and their graphsEdexcel International A Level Maths: Mind map

Exam questions on Trigonometric functions and their graphs

1. The function $f$ is defined by $f(x)=3\sin x$, where $x$ is in radians.
   Describe the single transformation that maps the curve $y=\sin x$ onto the curve $y=f(x)$.2 marks
2. The function $g$ is defined by $g(x)=\sin\left(x+\frac{\pi}{6}\right)$, where $x$ is in radians.
   Solve $g(x)=1$ for $0\le x\le2\pi$.2 marks
3. The function $h$ is defined by $h(x)=\sin2x$, where $x$ is in radians.
   State the period of $h$ and find all solutions of $h(x)=0$ in the interval $0\le x\le\pi$.3 marks