topic badge
Hong Kong
Stage 4 - Stage 5

Find solutions from a graph for sine and cosine equations (radians)

Interactive practice questions

Consider the equation $3\sin\left(3x+\frac{\pi}{7}\right)=-\frac{11}{10}$3sin(3x+π7)=1110.


Which function would be graphed along with $y=-\frac{11}{10}$y=1110 in order to solve the equation graphically?


Graph both of these functions using the graphing facility of your calculator. Hence state all solutions to the equation over the domain $\left[-\frac{13}{42}\pi,\frac{5}{14}\pi\right]$[1342π,514π]. Give your answers correct to three decimal places separated by commas.

Approx a minute

Consider the equation $-5\cos\left(\frac{x}{2}+\frac{\pi}{5}\right)=-\frac{17}{10}$5cos(x2+π5)=1710.

Consider the function $y=\sin\left(x-\frac{\pi}{3}\right)$y=sin(xπ3).

Consider the function $y=\cos\left(x-\frac{\pi}{6}\right)$y=cos(xπ6).

Sign up to access Practice Questions
Get full access to our content with a Mathspace account

What is Mathspace

About Mathspace