A light block hangs at rest from the end of a spring when it is pulled down 10 cm and released. Assume the block oscillates with an amplitude of 10 cm on either side of its rest position with a period of 1.5 s. Find a trigonometric function

Q: The top of a 15-foot ladder rests against a vertical wall with the bottom of the ladder on level…

A: The top of a 15-foot ladder rests against a vertical wall with the bottom of the ladder on level…

Q: Find the tangent of ZW. 13 12 Write your answer as an integer or as a decimal rounded to the nearest…

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Q: Use a sketch to find the exact value of the expression cot (sin-1 5/13)

A: So, Opposite=5, hypotenuse=13 And

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: Sketch the graph of a cosine function with the following properties: Amplitude: 2 Period 3π…

A: We will make some transformation to the y=cos(x) function to meet our requires.

Q: What does a trigonometric function with an amplitude of 5 and a period of 4 pie look like

A: The standard form of a sine function with amplitude a and period 2pi/b is  y=a sin (bx)

Q: Find the exact value of the remaining trigonometric functions of θ.

A: Consider the given graph tanθ=-34

Q: Use the wave-length above to identify the following: a. Cycle in two different ways. b. Period C.…

A: A)  Method-1 The cycle is between Two consecutive Crests Method-2  The cycle is between Two…

Q: Is the sine function even, odd, or neither?

A: We know that, a function fx is said to be even if and only if f-x=fx. Also a function fx is said to…

Q: Which trigonometric functions have a period of pi ?

A: We can see from the graph   fundamental period of Tan X is π Tan x= Tan (x+π) = Tan (x+2π) = Tan…

Q: 2. Find the exact value for the following without using a calculator. V2 + arcsin(-1)) sin arccos

A: We have to use inverse trigonometric functions.

Q: Find the amplitude and period of the function. (=cos(6x) - cos(6x) amplitude period Sketch the graph…

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Q: On a piece of graph paper, create an amplitude vs. time graph of a sine wave with an amplitude of 5…

A: Formula: Frequency=1Period. Given: Amplitude = 5 Pa Period(T) = 0.03 sec. To find: Frequency(f).

Q: Find a cofunction with the same value as the given expression. tan -

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Q: Find a cofunction with the same value as tan 25°.

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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: A 10-ft ladder rests against a wall at π/4 radians. If it were to begin to slip, when the bottom of…

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

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Q: On a piece of graph paper, create an amplitude vs. time graph of a sine wave with an amplitude of 5…

A: Given: A sine wave with an amplitude of 5 Pa and a period T = .03 sec.

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

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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 <

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Q: Write the equation of a sine function that has the following characteristic: 1 Amplitude: 4 Period:…

A: General form of a sine function is,             y=Asin(Bx-C)+D Where,      A= amplitude       Period…

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

A: The value of θ increases from  0° to 90°. The value of  sin θ is defined as; θ 0 30° 45° 60° 90°…

Q: A wheel turns through an angle q radians in time t seconds so that θ= 128t – 12t2. Find the angular…

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Q: Determine the period of the following trigonometric function. y = cos( 3

A: We have to determine the period of the given trigonometric function: y=cos πx3 We know the period of…

Q: Construct the trigonometric function below by fixing the Amplitude and Period. y=1/2cosx in graph…

A: The general form of cosine trigonometric function is  y=acosbx-c+d .Note the following results :…

Q: Which of the following trigonometric equations meets the criteria given? amplitude = 3, period = 71,…

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Q: (a) tan(sin (-

A: Explanation of the answer is as follows

Q: Use a calculator (in radian mode) to find an approximate value of UNDEFINED.) tan (-22)

A: Given, tan-1-22 We have to find the value of it.

Q: How do you solve this and can you show me step by step?

A: For a trigonometric function, the length of one complete cycle is called the period.By graphing the…

Q: Ifk = 25, what is the period of a cos ine or a sine funciton? O 45 45 25 45 45 2π

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

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Q: The input to a trigonometric function is formally called the _______ of the function.

A: Given- The input to a trigonometric function is formally called the _______ of the function. To…

Q: Graph two full periods of the function f (x) = cos (2x) and state the amplitude and period. Enter…

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Q: Use a calculator (in radian mode) to find an approximate value of the expression correct to five…

A: x= cos-1 (y) for this equation to be defined y must be between -1 to 1. but in this question y…

Q: 5) cos 27

A: Answer is  1 and explanation is given below

Q: Determine the period of the following trigonometric function. 8x 27) 3 y = 2 cos(- -

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Q: find the exact value of tangent of pi/12

A: Given:  We have to find the exact value of the tangent of π12 We write π12 as π3-π4

Q: What is the amplitude of the graph of y = tan x? Explain. Which other trigonometric functions, if…

A: the solution is given below

Q: Write the equation of a sine function that has the following characteristics. 1 Amplitude: 5 Period:…

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Q: amplitude: period: 3n y = sin

A: periodic function can be represent as below : where A = amplitude  = 12 Period = 2πB3π=2πBB=23

Q: Find the exact value of tangent of pi/12.

A: The given expression is tanπ12.

Q: Sketch the graph of the following trigonometric function for one cycle, and find the amplitude and…

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Q: Write the equation of a sine function that has the following characteristics.Amplitude: 2    Period:…

A: we have to find f(x) with following information

Q: Write a sine function that has a midline of 2, an amplitude of 5 and a period of 5pi/8

A: We need to write the Sine function with the given period and amplitude of 5.

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

A:

Ratios

A ratio is a comparison between two numbers of the same kind. It represents how many times one number contains another. It also represents how small or large one number is compared to the other.

Trigonometric Ratios

Trigonometric ratios give values of trigonometric functions. It always deals with triangles that have one angle measuring 90 degrees. These triangles are right-angled. We take the ratio of sides of these triangles.