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Algebra 2 Trigonometric functions (introduction)

Graphs of sine, cosine, and tangent

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Question 1
180136

Consider the function \(y = \sin x\).

(i) State the amplitude and period.
(ii) List the zeros over one full period \([0, 2\pi]\).
(iii) List the maximum and minimum points over \([0, 2\pi]\).
(iv) Sketch the graph over \([0, 2\pi]\).

(i) Amplitude \(= 1\), period \(= 2\pi\).
(ii) Zeros at \(0, \pi, 2\pi\).
(iii) Max \((\pi/2, 1)\), min \((3\pi/2, -1)\).
(iv) See graph

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