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UNIT 6 **WORKSHEET** 18 **GRAPHING**** SINE FUNCTIONS**. 1.

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Y = 1 sin(5x + 7t) sin 3x cos x. . 5 **Graphs** of **Sine and Cosine Functions Worksheet**-Day 4 Writing Equations of **Sine and Cosine Functions** Examine the **graph** below and determine the amplitude, period, phase shift, and vertical shift of each using **COSINE** as the parent **function**.

The basic **sine and cosine functions** have a period of \(2\pi\).

Step #1: Start by **graphing** the parent **function** y = sin O if there is no period change (b). Make sure to label all appropriate points. 1.

Phase shift: N/A Vertical shift: Up 1. Central Focus In this lesson students will explore how to **graph** trigonometric **graphs** and identify the period, amplitude, and asymptotes.

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• Identify the period, amplitude, and asymptotes of a **graph**. cos x -200 sin x cos sin sin 3x 12.

1) y = 2sin4q p 2 p3p 2 2p-6-4-2 4 6 2) y = sin q 4 2p4p6p8p10p12p-6-4-2 2 4 6 3) y = 2cos2q p. Y = 1 sin(5x + 7t) sin 3x cos x.

**Graph** each **function** using radians.

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cos 2. 1 **Graphing Sine**** and Cosine**. **Graph** y=5\sin\left (\dfrac {\pi} {2}x\right)-4 y = 5sin( 2π x) − 4 in the interactive widget.

. . IB Math SL/Intensified Precalculus Writing **Sine** & **Cosine** Equations from **Graphs** Give the amplitude, period, phase shift, and vertical shift of each **function**. . Solving for an angle in a right triangle using the trigonometric ratios **Sine and cosine** of complementary angles Modeling with right triangles The.

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Determine the direction and magnitude of the phase shift for f(x) = sin(x + π 6) − 2. fc-falcon">©T y2o0D2_2B ]KduStoaS ySooefrtOwlalrBeK HLzLcCu.

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**Worksheet** by Kuta Software LLC Algebra 2 **Graphing** **Sine** **and Cosine** Name_____ ID: 1 Date_____ Period____ ©Z c2l0b1O7s wK_uItPaZ _StoQfStEwzaerZes FLqL]Ci.

**Worksheet** by Kuta Software LLC Kuta Software - Infinite Precalculus **Graphs** of Trig **Functions** Name_____ Date_____ Period____-1-Find the amplitude, the period in radians, the phase shift in radians, the vertical shift, and the minimum and maximum values.

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cos !"! 1 n, where n n, where n n, where n is is any integer is an even integer an odd integer **Graph** each **function**.