[1] An archer aims to a target 150m away, aiming 2 radians above the ground. The arc length of the target above the ground is:

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: 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: Use the unit circle to explain how the value of tan t varies as t increases from  pi/2 to pi

A: Construct the unit circle mark the intervals with pi/6 from pi/2 to pi.

Q: Given that a = arcsin (-), sec B = and tan B < 0, find the exact value of sin(a +B).

A: Given that  α=arcsin-23⇒sinα=-23secβ=54⇒1cosβ=54⇒cosβ=45,tanβ&lt;0

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

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Q: An aircraft is flying at 400 ft/s with an elevation of 120 ft from the ground, on a straight- line…

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Q: The period of y = tan x is ________.

A: The period of y = tan x is π.   In fact : graph{tan x [-10, 10, -5, 5]}.   The fundamental branch is…

Q: Which is a possible value of q, rotating counterclockwise, to the nearest hundredth of a radian,…

A: To find- Which is a possible value of q, rotating counterclockwise, to the nearest hundredth of a…

Q: Determine the period of the following trigonometric function. Y = 2 sin

A: We are asked to find the period of the function.

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: Write the first trigonometric function in terms of the second for θ in the given quadrant. sec(θ),…

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Q: Use the unit circle to compute exact values for the following in radians, paying attention to the…

A: We need to compute the exact values for the following radians.

Q: Use the adjacent figure to find the exact value of the following trigonometric function. sin 2

A: It is known that, sinθ2=±1-cosθ2. From the given figure obtain the value of cosθ. cosθ=adjacent…

Q: Convert the following equation to Cartesian coordinates. Describe the resulting curve. 9 3 cos 0+2…

A: Let's convert to Cartesian equation.

Q: Graph the equation r = 4 sin θ with θ in radians. Use multiples of π/6 from 0 to π to generate…

A: The given equation is r=4sinθ.

Q: Use the figure to find the exact value of the following trigonometric function. 8. cos (2a) 15

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Q: The period of the function y = cos 30 in radians is ㅇ쯤 을

A: The given function is;  y=Cos(3 theta).

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: What is the formula for sin 2A?

A: Consider the provided expression, sin2A Write the formula of the expression, We can write as,…

Q: Thank you!! How about if I want to know the angular speed in radians/sec?

A: Let's find angular speed in radians per seconds.

Q: Simplify the trigonometric expression. 1 + tan A sec A

A: The trigonometric expression is simplified as below,

Q: Use the graph of a trigonometric function to sketch the graph of the equation without plotting…

A: Use the graph of a trigonometric function to sketch the graph of the equation without plotting…

Q: V2 Evaluate arcsin 2 a. in radians b. in degrees

A: Given : arcsin-22 To find : Solution of given expression in radians and degrees ?

Q: Evaluate: sin (arc tan ) A. 13 D.2 13 A В C B.

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Q: A bicycle with 28 inch diameter wheels is moving at a steady speed. If the wheels are turning at…

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Q: Convert the following equation to Cartesian coordinates. Describe the resulting curve. 4. 7 cos 0+2…

A: To convert the given equation into cartesian form.

Q: V3 arcsin 1- 2

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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: Solve the trigonometric equation for the indicated domain to the nearest hundredth in radians. - 7…

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Q: Given the following function, choose the graph with the two possible angles with the domain 0 sA S…

A: Follow step 2nd.

Q: Use the figure below, which shows the unit circle with increments of 0.1 units marked off along the…

A: Given :    A unit circle with increments of 0.1 units marked off along the circumference in a…

Q: Write cos 0 in terms of sin 0, for 0 in quadrant III.

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Q: In the triangle below, compute the tangent of theta 0 12

A: Topic:-  trigonometry ratios in right angle triangle

Q: dx Use the formulas discussed in the lecture to convert the trigonometric function into the correct…

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Q: Graph r = 4 cos (20) without a calculator. Then use a calculator to find the length of the arc…

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

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Q: Find the quadrant in which θ lies from the information given. sec(θ) &gt; 0 and tan(θ) &gt; 0

A: Using the below chart

Q: Use the solid curve to answer the following: 1. What is the amplitude (a)? 2. What is the period? 3.…

A: Since you have posted multiple subparts questions in this question so I have solved first three…

Q: Answer the following questions. a. Write a formula that expresses Laura's horizontal distance to the…

A: We know that, cos(theta) is the horizontal distance and sin(theta) is the vertical distance.

Q: I need to find how fast , in radians per second, will the gun have to turn to accurately track the…

A: Given that, The height of the aircraft is 110 ft. Let x be the distance from the gun to the point on…

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

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Q: Find the equation of the line in the xy-plane that goes through the origin and makes an angle of 1.7…

A: Given in xy plane line pass through origin and make angle of 1.7 radians with positive x axis.

Q: nd the value of the six trigonometric functions of

A: Given that: Angle θ is formed by the positive x - axis and the line segment from ( 0 , 0) to ( 4,…

Q: Determine the period of the following trigonometric function. Y = 2 = , sin(27x + 37) -

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Q: An aricraft is flying at 430 ft/s with an elevation of 150 ft from the ground, on a straight-line…

A: The diagram is shown below: Given:dxdt=430 ft/secHeight, AB= 150 ft

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: Find tan(0) + sin(0) for the angle 0 shown. 3.

A: Given figure, We find tan(θ) + sin(θ)

Q: Use the information given below to find tan (a-B). www COs a with a in quadrant I cos B= with B in…

A: First of all we have to calculate value of tan in the given two quadrants and then apply the…

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

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Q: Determine the period of the following trigonometric function. 4x y = sin(- 3 3

A: