Trig Functions and Graphs (degrees)

Hong Kong

Stage 4 - Stage 5

The functions $y=\sin\left(x-60^\circ\right)+4$`y`=`s``i``n`(`x`−60°)+4 and $y=\frac{9}{2}$`y`=92 are drawn below.

Loading Graph...

State all solutions to the equation $\sin\left(x-60^\circ\right)+4=\frac{9}{2}$`s``i``n`(`x`−60°)+4=92 over the domain $\left[-360^\circ,360^\circ\right)$[−360°,360°). Give your answers in degrees, separated by commas.

Easy

Less than a minute

Consider the function $y=\sin\left(x-60^\circ\right)$`y`=`s``i``n`(`x`−60°).

Consider the function $y=\cos\left(x-30^\circ\right)$`y`=`c``o``s`(`x`−30°).

Consider the function $y=\sin\left(x+30^\circ\right)$`y`=`s``i``n`(`x`+30°).

Sign up to access Practice Questions

Get full access to our content with a Mathspace account