If the sine function whose graph is the graph of TT y = -2 sin 2 (x – 4) + 1 shifted units to the left and 3 units 2 upward, find its equation.

Q: How would you explain the meaning of the sine function toa fellow student who has just completed…

A: The most intelligent approach for this discussion I believe would revolve around the right triangle…

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: 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: Give an equation for a transformed sine function with an amplitude of a period of, and a vertical…

A: In the given problem we have to find an equation for a transformed sine function with an amplitude…

Q: The period for a sine function is 87. Fill in the missing part of the equation. Type PI for T if…

A:

Q: Give an equation for a transformed sine function with an amplitude of 3, a period of and a phase…

A: Amlitude is 3 , period is π/4 and phase shift is π/5 to the right.

Q: Find the amplitude, period, or phase shift as specified. Find the period of y = -4 sin 6x-

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Q: Determine the amplitude, period, and phase shift of y = 4 sin(2πx + 2). Then graph one period of the…

A: Consider the function: y=4sin2πx+2…

Q: Determine the period and amplitude of each function. y = −3 sin 4x

A: Now comparing with

Q: Sketch the graph of the equation.y = 4 sin-1 x

A: Given equation, y = 4 sin-1 x

Q: if tanlx) 16 in quadrant 2, find: a.) Sint) b.) cos () c.) tan ě) 2

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Q: y = -3sin(x - T)

A:

Q: If A is negative, then the graph of y = A sin x will be ___________ about the _______.

A: Fill in the blanks. If A is negative, then the graph of y = A sin x will be ___________ about the…

Q: Determine the graph of the following function. y = 5 sin? ()

A: Given,           y = 5sin2x2

Q: Graph the equation r = sin ( 0) for 0 < 0 < 14.

A:

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

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Q: Complete the steps by applying trig identities to show that the left hand side of the equation is…

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Q: 15

A: We have to find equation

Q: Use the graph of the sine to sketch one period of the graph of the function. y = −1 + 2 sin(2x…

A: It is given that, y=-1+2sin2x-π2 It is known that, if f(x) has period P, then function f(ax+b) has…

Q: Sketch the graph of the equation by making a table using values of θ that are multiples of 45°. ​…

A:

Q: Graph the following sinusoidal function. y = 6 cos (3x)

A: Given :

Q: When instructed to write the equation of a sine function with a vertical stretch of 2 and a…

A: We have to transform sine function and write it's new equation.

Q: Determine the amplitude and period of y = 3 sin(4x).

A:

Q: Graph one period of the function y = 3 sin 2x.

A: Given: y = 3 sin 2x To graph: One period of the given function.

Q: Graph two periods of the function. v=2-4 sin

A: Consider the function: y=2+4sin(π2x) Comparing the given function with standard function,…

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: What are the zeroes of the equation r = sin ( θ ) + 8 ?

A: given    r = sin(θ ) + 8

Q: Complete the steps by applying trig identities to show that the left hand side of the equation is…

A: Consider the given trigonometric expression sinx+tanx1+secx

Q: Determine the amplitude and period of the function y = 3 sin 4x. Then graph one period of the…

A: We have to determine the amplitude and period of the given function also have to draw the graph for…

Q: If the graph of the equation y cos(x) is to be modified to triple the amplitude and to double the…

A: Given: Triple the Amplitude and double the period

Q: Find sin 2x, cos 2x, and tan 2x if cosx = and x terminates in quadrant 17

A:

Q: The graph of y = A sin Bx has amplitude =_____ and period =______.

A: We have to fill in the blanks: The graph of y=A sin Bx has amplitude =_____ and period =______. We…

Q: Choose the correct graph of the sin function from 0 to 2 ↑ if the amplitude is 1.5 and the period is…

A: We have to draw the correct graph of sin function.

Q: If the sine function whose graph is the graph of y = -2 sin 2 (x – -) + 1 shifted 4. units to the…

A: To find the equation after the transformations given

Q: Sketch the graph of the equation.y = 1/2 sin-1 x

A: y=12sin-1x

Q: We were asked to solve this equation: tan(theta)*sin(theta)+sin(theta)=0

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Q: What is the period of the equation y=sin 4x 4

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Q: Graph the following and then identify the amplitude and period. y = - 4 sin(2æ), – 27 < x < 4T

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Q: in

A:

Q: with A in QII, find sec 13 슬 If sin A

A:

Q: Find the amplitude and period and sketch the graph of the equation.

A: The given equation is, y=2 sinπx The period of the sine function is 2π radians when the variable of…

Q: What is the period for y = tan 2x?

A: We have to find the period of trigonometric function: y= tan 2x We know the period of tan x is π and…

Q: Find the amplitude, the period, any vertical translation, and any phase shift of the graph of the…

A: Given: The function is  y=3-sin4x-π5   To determine : The amplitude, the period, any vertical…

Q: Could you please help me find the equation for this sine graph? Thank you

A: Maximum value= 4, minimum value =-2  So amplitude =(max-min)/2= (4-(-2))/2=6/2=3

Q: graph the trigonometric fuction f(0)=1/2 sin (2(0- pi/3))-1

A: graph the trigonometric fuction f(0)=1/2 sin (2(0- pi/3))-1

Q: If tan A = sqrt (2) - 1  Find tha value of sinA cos A =( sqrt(2) )/(4))

A:

Q: Use your calculator to find sec-1 8. in radians. Round your answer to four decimal places.

A:

Q: Find the amplitude and period for the function y = -2 sin(10x).

A: Amplitude of the function asin(bx+c)+d is a and period is 2πb.

Fundamentals of Trigonometric Identities

Trigonometric Identities are the equalities that involve trigonometry functions and hold for all the values of variables given in the equation.