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=1√2.
Medium
1min
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