Find a sine equation having the following characteristics: Amplitude = 2 Period = 5 Horizontal Shift = - %3D 24 Vertical Shift = 3 y = [ ? ] sin([ ]x+ ) +[]

Q: Define what is an important property of the sine and cosine functions?

A: The most important property of Sine and Cosine functions is: The sine function is Periodic and odd.…

Q: /3 Without using a calculator: tan¬1 ( 3

A:

Q: What is the period of cos(2rx)?

A: We know that the period of  cosx is 0 to 2 π Hence cos0 to cos 2π

Q: give the period of y = tan (3x)

A: Here we use the general equation of tangent function that is y=a tan(bx) and the period =πb

Q: 9 Determine the amplitude, Period, Phase Shift, and the range for y=-7coséx-210+5

A: If   y= a cosb(x-d)+c                   where,  Amplitude   =  aperiod          =  2πbPhase shift…

Q: The amplitude of y = } cos 3x is and the %3D period is .

A: Given: y=12cos3x To Find: Amplitude and Period Concept: if y=AcosBxthen Amplitude=Aand Period=2πB.

Q: evaluate the following giving exact values when possible: cos(sin^(-1)(y/2))

A: Simplifying the given inverse trigonometric expression to find the desired value.

Q: can't you use tan=opposite/adjacent to calculate it?

A: Yes, we can use the formula for the trigonometry relation to find the same.The formula used in the…

Q: State the amplitude of the sinusoid A=-2/7 B=-5/7 x=b² sin(a²t - b)

A: Given: x=b2sina2t-b

Q: Graph y= 2 cos(1/2x)+5 on the interval [0,2pi]. Explain amplitude, period and midline.

A: Note that 1 radian =57.27 deg approx. So you need to check the part of graph from 0 to 6.28 approx.…

Q: Define the term general sine function?

A: Given: Define the term general sine function?

Q: Summarize how the derivatives of inverse trigonometric functions are related to the derivatives of…

A: dsin-1xdx=11-x2dcos-1xdx=-11-x2dtan-1xdx=11+x2dcot-1xdx=-11+x2dsec-1xdx=1xx2-1dcsc-1xdx=-1xx2-1