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Year 10 Maths Advanced Trigonometry

Graphs of Trig Functions

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Question 1
44310

From the graph of \(y=\sin x\) for \(0^\circ\le x\le 360^\circ\), state:

i) The maximum and minimum values
ii) The values of \(x\) for which \(\sin x=0\)

Graph of y = sin xThe graph of y = sin x for 0° ≤ x ≤ 360°, x-axis marked every 90°, y-axis from -1 to 1 in steps of 0.5.xy90°90°180°180°270°270°360°360°−1−1−0.5−0.50.50.511
Part a: i) Maximum value 
1
1 mark
Part b: i) Minimum value 
-1
1 mark
Part c:
A.
\(x=0^\circ,\ 180^\circ,\ 360^\circ\)
Correct
B.
\(x=90^\circ,\ 270^\circ\)
C.
\(x=180^\circ\) only
D.
\(x=0^\circ,\ 90^\circ,\ 180^\circ\)

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