Using the characteristics below, write an equation for each function Sinus. A) Amplitude of 1/4, period of 2(pi), translation of 3 units downwards, and phase shift of pi/2 units to the right. B) Amplitude of 2, period of 5(pi) and phase shift of pi/4 units to the left.

Q: The velocity v of blood at a valve in the heart of a certain animal is modeled by the equation v= -2…

A: Solution ) v = -2 cos ( 5 πl ) + 2  Max and Min value of cos ( 5 πl ) is - 1 to 1  When put cos ( 5…

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A: We can plot the given graph in the below steps.

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A: NOTE: Refresh your page if you can't see any equations. . the given expression is

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A: The answer is in step 2.

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A: I am attaching image so that you understand each and every step.

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A: *to find :- Solution for x in the given range of (0, 2π).

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A: The given equation is; 2cos(−3t)cos(4t)−2sin(−3t)sin(4t)=−√2

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A: Explained below

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A: Let's perform calculation.

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A: Graph

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A: We know From given graph sine equation ⇒y=-AsinBx-C+D⇒A=Amplitude ⇒C=phase shift ⇒D=Vertical shift…

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A: Verify identity  cosx1-sinx=secxtanx

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A: Figure:-

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A: Here we have to use the concept of trigonometry