A sine function has an amplitude of 3, a period of n, and a vertical translation of 1 unit up. If it passes through the point (÷, 1), what is the horizontal translation?

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

A: We know that,  tanπ-x=-tanx                             ⋯⋯1cos-1-x=π-cos-1x                  ⋯⋯2…

Q: a) What is the amplitude? b) What is the period? c) Has it been translated up or down? If so, by how…

A: " Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…

Q: Is the sine function even, odd, or neither? Is its graph symmetric? With respect to what?

A: To find:  If the sine function even or odd Is the graph symmetric and with respect to what.

Q: Use a special right triangle to express sin 60° as a fraction or as a decimal to the nearest…

A: We will draw a right triangle to solve this.

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

A:

Q: Find a sine equation having the following characteristics: Amplitude = 2 Period = 5 Horizontal Shift…

A: We have to find

Q: A wave is modeled with the function y=sin (30), where is in radians. Describe the graph of this…

A: If y= A sin(Bx+C),then Amplitude -APeriod : 2πB .

Q: A light block hangs at rest from the end of a spring when it is pulled down 10 cm and released.…

A: When spring is stretched and released then the block start to perform SHM with some velocity, v.…

Q: Use a middlesum with n = 4 to estimate / cos(vr + 4) dx. Make sure that your calculator is in…

A: Given fx= ∫-412cosx+4dx  and n=4

Q: Given sine = -5/13 and cose < 0, determine tane O -12/5 O 12/5 O 5/12 O -5/12

A: Solution ) sin(thetha) = -5/13 and cos(thetha) &lt;0 Sin thetha is ( - ) and cos (thetha) &lt;0 that…

Q: Write a sine function that has a midline of 3, an amplitude of 4 and a period of 2.

A: To findsine function that has a midline of 3 , an amplitude of 4 and a period of 27.

Q: A 15-centimeter pendulum moves according to the equation θ= 0.2 cos 8t, where θ is the angular…

A: Given θ=0.2 cos 8t To determine the maximum angular displacement θ is maximum, when…

Q: Use a calculator to find the approximate value of each expression rounded to two decimal places.;sin…

A: We have to find the value of sin1

Q: Use a calculator to approximate sec 4.   -1.3213

A: Concept: The trigonometric ratio are ratios, sine, cosine, tangent, cosecant, secant and cotangent.…

Q: What is the period of the sine function?

A:

Q: Without graphing, determine the amplitude and period of y = 4 cos

A: A function is usually represented as f(x), where x is the input to the function and f(x) represents…

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

A:

Q: A revolving beacon is situated 380 feet off a straight shore. If the beacon turns at 4.2 radians per…

A: Given revolving beacon is situated 380 feet off a straight shore and it turns at 4.2 rad per sec.…

Q: 1. A mouse wheel is 16 cm in diameter and the base of the wheel is 2 cm off the ground. If the…

A: Given: Let us consider the given data, Diameter=16 m Base=2 cm Time=14=0.25 sec Lets determine the…

Q: Find the amplitude, the period in radians, the phase shift in radians, and the vertical shift.…

A: NOTE: Refresh your page if you can't see any equations. . compare this function with  so here we…

Q: Find the exact value of the expression whenever it is defined.arctan 0

A: tan-10

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: A ship, moving 12 km per hour, sails north for 45 minutes, then turns west. If a searchlight at the…

A: Given query is to find rate of change of rotation of light.

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 definition of the hyperbolic cosine and hyperbolic sine functions.

A: We define hyperbolic cosine and sine function as,

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

A: Given sine and cosine function.

Q: What is the period of y =A sin Bx?

A: The given function is y=A sin Bx. It is known that the period of sine function y=sinx is 2π.

Q: A mass weighing 16 pounds is attached to a spring whose spring constant is 49 Ib/ft. What is the…

A:

Q: What is the equation of the sine function whose graph has an amplitude of 4, a period of TT/6, and…

A: Amplitude is 4, period is π6 and shifted π2 units to the left of t axis. Therefore,…

Q: Which functions have a period length of 2? cosecant secant cosine sine O cotangent tangent

A: Given The function have a period length of 2πb.

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: Write a sine function that has a midline of 5, an amplitude of 3 and a period of 5/4.

A:

Q: Use a linear approximation to estimate the given number. sin 44 degrees + cos 61 degrees

A:

Q: find the second derivative with detailed sol'n

A: To find: The second derivative of y=e2x-e-2xe2x+e-2x, Formula used: Quotient rule of derivative:…

Q: Without using calculator find the exact value of cos (arcsin(3/5) + arccos(4/5))

A: solution

Q: 5) cos 27

A: Answer is  1 and explanation is given below

Q: A sound frequency wave has an amplitude of 2 units and a period of S. What is the equivalent sine…

A:

Q: Find cos 67° correct to four decimal places by using a calculator.

A: cos67°

Q: Use a sine function to graph a sound wave with a period of 0.003 second and an amplitude of 2…

A:

Q: The value of sin7n from the unit circle is (0,1) '† (1,0) (-1,0) (0,-1)

A: Consider the unit circle given below :

Q: A ladder 12 m long rests against a vertical wall. Let theta be the angle between the top of the…

A:

Q: Find the values of θ in degrees (0° &lt; θ &lt; 90°) and radians (0 &lt; θ &lt; π/2) without using a…

A: Consider the trigonometric equation as cot(θ) = √3/3.Solve the above equation for θ in degrees as…

Q: Given the sine function: 200sin 60t + find the amplitude, period and phase shift in milli-seconds.

A: We have  y=200 sin60t+π6   Standard form of sine is  y=A sinBx+C+D   Amplitude=APeriod=2πBPhase…

Q: Given the graph of a sine function. What is its amplitude?

A: here we have to find the amplitude of a sine function graph.

Q: Suppose a = 12 and b = 9. Find an exact value or give at least two decimal places: sin(A) = %3D

A:

Q: Write a sine function that has a midline of 3, an amplitude of 4 and a period of .

A:

Q: the value of the expression 2 arctan (1) (or equivalently, 2 tan ^-1(1)) is

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

Q: Find the exact value of the trigonometric function at the given real number. (0) coo(-) (0) sec(-플)…

A: