Topic: Time Rates: Trigonometric functions A person is running on a circular track with a radius of 100 meters. If the person completes one lap around the track in 60 seconds, what is the time rate of change of the person's angle of rotation, in radians per second? Show complete solutions which show the following: Given Required FBD Solution Checking

Q: consider the parametric equations. Find the recting ular equation y = f(x) that is defined by the…

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Q: What is the main advantage of using a circle graph over a bar graph? It is easier to read specific…

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Q: How many liters of paint must you buy to paint the walls of a rectangular prism-shaped room that is…

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Q: Write sin 6x - sin 4x as a product of trigonometric functions.

A: Given query is to write the expression as product of trigonometric functions.

Q: Find the value of a so that vectors U = ai + 9j and V = 3i + 15j are perpendicular. a =

A: See this solution in below.

Q: Find the acceleration of the specified object. (Hint: Recall that if a variable is changing at a…

A: We first consider the system as a triangle, wherein the hypotenuse, d, is the length of the ladder,…

Q: Polyam divisio to remainder wing 52-32²18 is divived by x+1 it convert the angle of 23 degrees, 47…

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Q: 1) A=35", C = 64", a = 12

A: we know that  A°+B°+c°=180°by using sin law  sin(A)a=sin(B)b=sin(C)c

Q: ⇒lem 7: Graph the parametric curve defined by parametric equations x = ²+2, and y = 2-4, fort in…

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Q: Write the following equation in vertex form: 4x² +9y2 + 24x+18y+9 = 0 O (x+3)² + ( + 1)² = 1 (x+3)²…

A: given  4x2+9y2+24x+18y+9=0          4x2+24x+9y2+18y+9=0

Q: A loading chute in a flour mill goes directly into a feeding bin. The feeding bin is in the shape of…

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Q: Outside temperature over a day can be modelled as a sinusoidal function. Suppose you know the high…

A: We have to express the day temperature by a sinusoidal function.

Q: csc sec-¹ (-√2) + cot 12 -¹ (¹2) 5

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Q: 8. Use DeMoivre's T (√2cis 45°) ¹0

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Q: → C mylab.pearson.com Use a half-angle identity to find the exact value. cos 195° cos 195° =…

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Q: 1. In a right triangle, ABC, with right angle at C, a=2 and b=5. What are the following values?…

A: According to question,Given Sides of triangle,a = 2,andb = 5

Q: Plot the point -4,- given in polar coordinates, and find other polar coordinates (r,0) of the point…

A: NOTE: Refresh your page if you can't see any equations. . the radius and angle are . for the…

Q: Find the radian measure of angle 0, if 0 is a central angle in a circle of radius r = 14 inches, and…

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Q: Practice PLUS Use the circle shown in the rectangular coordinate system to solve Exercises 77-82.…

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Q: Use Simpson's Rule with n= 6 to estimate the arc length of the curve y-2 cos(x) from [0, π]. Round…

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Q: 6. Find the trig ratio of Tan(Z): Z 8 24 X 18

A: Tanz is the ratio of opposite of Z to adjacent side of Z

Q: 2) -3x + y = 23 A) (4,1) C) (-8, -1) B) (-4,-1) D) (1,4)

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Q: An aircraft going from Atlanta to Savannah on a heading of 126° (from north) is travelling at a…

A: Given that , The speed of aircraft = 510 miles per hour (126° from north) Speed of wind = 24 miles…

Q: 9. Find the trig ratio of Cos(A): 27 B 45 36 A CO

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Q: Solve csc(4x) - 8 = 0 for the four smallest positive solutions x = Give your answers accurate to at…

A: We need to find 4 smallest positive values.

Q: Solve 6 cos(3x) = 4 for the smallest positive solution. Give your answer accurate to at least two…

A: Topic = Trigonometry

Q: cos²x + 3 cos x + 2 = 0

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Q: Use the triangle in the illustration for the exercise. B A 68.0 m 34.0 m 59.0 m Find cos(B). (Round…

A: We know, cos(x)=Base/hypotenuse.

Q: Solve the given equation. (Enter your answers as a comma-separated list. Let k be any integer. Round…

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Q: Watch the video and then solve the problem given below. Click here to watch the video. Use…

A: We know, cosθ=±1-sin2θ sin2θ=2sinθcosθ

Q: Find the slope of each line. Find the y-intercept of each line. Write an equation in slope-intercept…

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: 10. Find three cube roots for z = 8(cos 210° +isin 210°). Leave your answers in trigonometric form.

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Q: 7. A b = 8 с с = 12 a = 6 - В

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Q: 1. If A = 40°, B = 60°, and a = 12 cm, find b.

A: Given A = 40°B = 60°a = 12 b = ?

Q: 5 3) y = -x - 4 4 y ===x+2 4 --3 ---2-1 System Solution: Equation 1 Slope: y-intercept: Equation 2…

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Q: 10. Given the equation 2 sin2 0 - cos 0 = 1 find all the solutions

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Q: O a O b O c Od Find the length of AB. √72 cm √12 cm 36 cm √18 cm

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Q: K Let u = 6i-7j, and w=-i-5j. Find ||w-u. |||w-u|| (Type an exact answer, using radicals as needed.)

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Q: Given the vector u counterclockwise ||ū|| 0 = (5, 4), find the magnitude and angle in which the…

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Q: 22. sin²x sec² x - sin² x

A: By using the fundamental identities to simplify the following expression.sin2 x sec2 x-sin2 x

Q: LET COS (2B) = 1. COMPUTE THE VALUES OF B, ON [ 0, 2 * PI]

A: We have given equation  cos2B=1 cos2B=cos0=cos2π=cos4π 2B=0,2π,4π B=0,π,2π

Q: Find the sine of ZE. G √11 F 9 E Write your answer in simplified, rationalized form. Do not round.

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Q: Simplify 1 + sin(t) 1 + csc(t) to a single trig function.

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Q: Which formula would you use to determine the measure of ZL? L a. b. 41.3 in. N 63.9 in. 44.6 in. M…

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: These are two similar triangles. What does x equal? 12 9 18 30 X 15

A: Given two similar triangles

Q: c[sec-¹(-√2) CSC ¹(-√2) + cot- 12 (1/³)] 5

A: According to question,Given expression,Cosecsec-1-2 + cot-1125

Q: What is the exponential form

A: We need to find exponential form.

Q: Evaluate. Write your answers as integers or as decimals rounded to the nearest hundredth. sin 48° =…

A: To find:- sin48° cos48°tan48°

Q: Dock A 27 120 miles I Adgacent X SIN 27 W + E

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Q: Given that sin 0: 35 and cos 0 <0, determine the values of the sine and cosine functions for 20. 37…

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