Trig Functions and Graphs (radians)
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.
a
Which function would be graphed along with $y=-\frac{11}{10}$y=−1110 in order to solve the equation graphically?
b
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.
Easy
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(x−π3).
Consider the function $y=\cos\left(x-\frac{\pi}{6}\right)$y=cos(x−π6).
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