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Middle Years

6.07 Trigonometric equations

Interactive practice questions

Consider the function $y=2\sin2x$y=2sin2x.

a

Draw the function $y=2\sin2x$y=2sin2x.

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b

State the other function you would draw in order to solve the equation $2\sin2x=1$2sin2x=1 graphically.

c

Draw the line $y=1$y=1 below.

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d

Hence, state all solutions to the equation $2\sin2x=1$2sin2x=1 over the domain $\left[-180^\circ,180^\circ\right]$[180°,180°]. Give your answers in degrees separated by commas.

Medium
2min

Consider the function $y=-2\cos3x$y=2cos3x.

Medium
2min

Consider the functions $y=2\sin4x$y=2sin4x and $y=1$y=1.

Medium
1min

Find the measure in degrees of the acute angle satisfying $\sin\theta=\frac{1}{\sqrt{2}}$sinθ=12.

Medium
1min
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