4b) Write a sine function that has an amplitude of 4, a midline of 3 and a period of T.

Q: Which of the following is true about sine and cosine functions?

A: It is known that the range of sine and cosine functions is [-1,1]. Thus, first statement is false.

Q: What is the amplitude of the graph of the equation y = 2 sin ,r? %3D 2. 1/2

A: The amplitude of the function y=f(x) is the distance between the center line and the top of the…

Q: In Exercises 17–22, specify (a) the period, (b) the amplitude, and (c) identify the viewing window…

A: The functions: 17. y=1.5 sin 2x 18. y=2 cos 3x

Q: What is the amplitude of y= 4 sin 3x? 1 4

A: We can find the amplitude as below

Q: . Give the exact value of sin V3 2.

A: Given: sin-132

Q: How do I find the amplitude and period of y = 4cos3x ?

A:

Q: Use a sketch to find the exact value of sec(sin-1 1/2).

A: Now

Q: Find cos(θ), if sec(θ)=−2.  Round your answer to four decimal places.

A:

Q: The suitable substitution to evaluate sin24(x + 2) dx is

A: Proceed as shown below...

Q: 2. Find the cxoct values of Sin Zu and cos2u

A:

Q: What is the domain of the sine function?

A: The domain is a set of x-values where the graph of the function is defined. In other words, the…

Q: Give four angles in radians where y =tan(x) has vertical asymptotes.

A:

Q: sin 2tan

A:

Q: Find the value of the trig function indicated. 1) tan 0 2) sin 6 7V5 14

A: Solution: The objective is to find the value of sin(θ)

Q: A sine function has an amplitude of 3, a period of n, and a vertical translation of 1 unit up. If it…

A: We have formula y=Asin(B(x+C))+D                        (1) Where A is amplitude, 2πB is period, C…

Q: Given that O 1800, determine the numerical value of this %3D sine = %3D -1 1

A: Put  thetha=180°

Q: Use the definition of the hyperbolic sine to show that sinh x is an odd function.

A:

Q: 22 (in Quadrant-I), find 17 If csc(x) sin(2x) %3D

A:

Q: Find the equation of a sine wave that is obtained by shifting the graph of y = sin(x) to the right 6…

A:

Q: As theta increases from 0 0to 90 0, the value of cos theta tends toward what number?

A: we know that in 0∘ to 90∘, cosine function is decreasing function and it's value is tends towards…

Q: Determine the equation of the cosine function that has an amplitude of 4, a period of 2T, and has a…

A: The general equation of cosine function is y=AcosBx-C+D Here,  A=AmplitudeP=2πB=PeriodCB=Horizontal…

Q: Find the values in

A: Given expression

Q: Find the value of: a) sin-'(sin 2) b) arccos(cos(-)

A:

Q: What are the amplitude and period of y = - 4 cos(πx)?

A: The amplitude is the vertical distance between the axis of the function and the maximum or minimum…

Q: For y=2sin(9x)y=2sin(9x), its amplitude is__________ its period is __________

A: Given that y=2sin(9x) To find Amplitude and period.

Q: Write a sine function that has a midline of 4, an amplitude of 2 and a period of 5 pi divided by 4

A:

Q: State the definitions of the hyperbolic cosine and hyperbolic sine functions.

A: Given sine and cosine function.

Q: Without using a calculator, find the exact value TE of sinif cos = 3,0 ≤ 0 <

A:

Q: Construct the trigonometric function below by fixing the Amplitude and Period. y=1/2 cos2x

A: We have to construct the trigonometric function below by fixing the Amplitude and Period. y =…

Q: Determine the amplitude of the sine graph. 2.0x -1.0+ 312 O A. 2 о В. О о С. -1

A:

Q: Question in Image.

A:

Q: Write the equation of a sine function that has the given characteristics. Amplitude: 18 Period: 12…

A:

Q: Period = 7.) j(x) =}cos()-2 Increment = Amplitude =

A:

Q: Find the amplitude of y = 5 cos (2x - T). O -2 O 5 10

A: Given: y=5cos2x-π

Q: Show that cosine is an even function and sine is odd.

A: We have to prove that f(x)=cos(x)  is an even function and g(x)=sin(x) is even function .

Q: What is the amplitude of y =A cos Bx?

A: Consider the given expression as y=AcosBx Here, y is displacement from the mean position.

Q: Write the equation of a sine function given the following characteristics: Amplitude = 3, Period =…

A:

Q: Write an equation of the cosine function with amplitude 2 and period 6t. Oy=-2 cos cos O y=2 cos x…

A: Given amplitude = 2 and period = 6π We have to write the equation of the cosine function.

Q: Use the addition formula for cosine and the identities to prove the subtraction formula for the sine…

A: We have

Q: The value of cos(arctan(x) ) is equal to

A: 1. Given expression, cos(arctan(x))

Q: Find the exact value of the expression whenever it is defined.

A: To find the exact value of sin arccos -32

Q: 3. Write the sum and difference formulas for sine cosine and tangent. (6 total)

A:

Q: How would I answer this Write a sine function that has an amplitude of 2, a midline of 3 and a…

A:

Q: Write an equation in the form y=a sin br given the amplitude and the period. amplitude: 2 period: 27…

A: For any given function of the form y=asin(bx) , we will have  the amplitude of the equation as a and…

Q: 4. Write the Double angle formulas for sine cosine and tangent

A: Solution:-

Q: Evaluate the six trigonometric functions at t= 4π/3

A:

Q: Find cose given that sine = 8 and tane < 0. 17

A:

Q: Let tanA=5/12 with A in Q1 and find the exact value for sin(2A)

A: Given: tanA=512, where A is in 1st Quadrant