Find Amplitude, Period, and Phase Shift y=-7cos(x)

Problem

y=−7*cos(x)

Solution

1. Identify the standard form of the trigonometric function y=a*cos(b*x−c)+d

2. Determine the coefficients from the given equation y=−7*cos(1*x−0)+0 where a=−7 b=1 c=0 and d=0

3. Calculate the amplitude using the formula |a|

|−7|=7

4. Calculate the period using the formula (2*π)/|b|

(2*π)/1=2*π

5. Calculate the phase shift using the formula c/b

0/1=0

Final Answer

Amplitude=7,Period=2*π,Phase Shift=0

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