### Find amplitude, period, vertical translation, any phase

Y = 2/3 sin(x+pi/2) Amplitude is this right 2/3 Period is this right 2pi Vertical translation this right pi2/(2/3)= 3pi upward Phase shift this right 2pi to the left

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Y = 2/3 sin(x+pi/2) Amplitude is this right 2/3 Period is this right 2pi Vertical translation this right pi2/(2/3)= 3pi upward Phase shift this right 2pi to the left

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Please see the attached file for the fully formatted problems. Deduce the addition theorems for trigonometric functions: cos (x ± y) = cosx cosy sinx siny; sin (x ± y) = sinx cosy ± cosx siny as the simplest consequence of the representation of a complex plane's rotational group.

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This question concerns the function y/3 = 3+ 4sin [3x+ pi ] Where x is measured in radians. (1) Choose the one option which gives the value of the function when x= pi/2 (2) Choose the one option which gives the period of the function. Options for questions 1 and 2. A 1 B. 2 C. 3 D. 4 E. pi/3

Write a trigonometric function for a ball dropped from a distance of 5ft from the floor. Let the x-axis represent the time after the ball was dropped and the y axis represent the height in feet. Address these issues: 1. Explain the process you used to find the function. Include all math steps. Why did you select this particular

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Inverse cos of (square root of 2/2)

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1)If sin(t) = -5/13 and 270 degrees is less than or equal to t and is less than or equal to 360 degrees, then cos(t)=? 2)If 0 degrees is less than t and less than 90 degrees and cos(t) = 4/5, then cos(2t)=? 3)A right triangle is shown, sec(t) =? . | 1 = hypotenuse . | x = y

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