A dinghy is pulled toward a dock by a rope from the bow through a ring on the dock 10ft above the bow. The rope is hauled in at the rate of 1ft/sec. At what rate is the angle (theta) changing at this instant?

Q: Given that a = arcsin (-3), sec ß = and tan B < 0, find the exact value of sin(a + B). %3D

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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: identify A, B, C, and D for the sine functions in Exercis "y = 2 sin (x + p) - 1"

A: Consider the provided function, y=2sinx+p-1 Identify A,B,C and D for the sine functions. We know…

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: Find the sine of ZW.

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Q: Find the equation of the sine graph given below. JG- -TT 2 1 0 10 TT 211 3m 15 411 5m

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Q: A kite 100ft above the ground moves horizontally at a speed of 6ft/s. At what rate is the angle…

A: Explanation of the answer is as follows

Q: A wheel with a diameter of 31 meters is moving forward at 112.1 meters per second. How fast is the…

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

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

Q: Use the triangle below to find sin 0. V5

A: First of all we will use Pythagoras theorem to find the third side of the triangle. Then you will…

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

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Q: 3. Find the six circular functions of the angle e generated by an arc with a length equal to .

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Q: True or False The angular speed v of an object traveling ona circle of radius r is the angle u…

A: Given: The angular speed v of an object traveling on a circle of radius r is the angle u (measured…

Q: Use Figure to find the values of the trigonometric functions at t = π/2.

A: On the unit circle, x-coordinate of any point represents cosine of the corresponding angle and…

Q: Let a = ci + jand b = 3i + 4j. Find c so that the angle between a and bis Round your answers to four…

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Q: Find the tangent of LC. C 89 39 Write your answer as an integer or as a decimal rounded to the…

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Q: Express sin e (0 in quadrant IV ) in terms of cot 0.

A: The trigonometric identities are expressions in trigonometric functions that are true for all values…

Q: Find sin(a + B) given that cos(a) = for a in quadrant IV and tan(8) = with 3 in quadrant I. %3D

A: Given - cos(α)=817  , tan(β)=512α lies in IV quadrant. , β lies in I quadrant. To find sin(α+β).…

Q: Find the Tangent ratio for angle F in the triangle below. G 5 km F tanF = 2 km 13 km H.

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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: 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: Use the appropriate sine ratio to solve for x, show your work, and round answers to 3 decimal places

A: Topic-trigonometry

Q: A ladder 10 ft long rests against a vertical wall. If the bottom of the ladder slides away from the…

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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: What is the result of cos j8? Round your answer to the nearest tenths.

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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: Derire the gy ivenidentities Sin20 = sec seco Sine Coso

A: To prove: sin2θsinθ-cos2θcosθ=secθ We know that: sin2θ=2sinθcosθ and cos2θ=2cos2θ-1

Q: The lower right-hand corner of a long piece of paper 6 in wide is folded over to the left-hand edge…

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Q: The position of a particle moving along a coordinate line is given by: s(t) = 10 cos %3D

A: We have to find

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: 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: Find cose, where 0 is the angle shown. Give an exact value, not a decimal approximation.

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Q: 1. sin P = cos R =

A: As per the instruction, we will be answering only the first question. For (1), sin…

Q: Find sece, given that cot e = ! and sine <0. 2

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

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Q: Find the acute angle between the planes. Round to the nearest thousandth of a radian. = 9x - 9y – 5z…

A: I have appended the formula used in the solution part.

Q: Determine the equivalent when (3∠2 radians) is raised to 0.5+0.5i. Express your answer in a…

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Q: Find the trigonometric integral ∫tan   sec4   d

A: ∫tanxsec4xdx Take secx=t⇒secxtanxdx=dt.

Q: 2. What is the period of the trigonometric function given by f(x) a. 플 b. 2π C. T d. 3 = 3sin(2x)?

A: This question is based on trigonometry function

Q: Find sin 0. 2 cot 0 = O in quadrant IV 7'

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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: find the Value B Prad=1o Prad B cuse sing sine de dø do dø %3D

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Q: Suppose theta(t) measures the minimum angle between a clock’s minute and hour hands in radians. What…

A: Given, θt measures the minimum angle between a clock’s minute and hour hands in radians. Find, θ't…

Q: Find the sine, cosine, and tangent of ZT. 29 20 21 29 21 29 a. 21 20 21 C. 29 29 20 21 20 20 21 20…

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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.