Diego boards a Ferris wheel at the 3-o'clock position and rides the Ferris wheel for multiple revolutions. The Ferris wheel rotates at a constant angular speed of 6.6 radians per minute and has a radius of 30 feet. Let t represent the number of seconds since the Ferris wheel started rotating. a. Write an expression (in terms of t) to represent the varying number of radians 0 Diego has swept out since the Ferris wheel started rotating. Preview b. Write a function f that determines Diego's distance above the center of the Ferris wheel (in feet) in terms of t. f(t) = Preview c. How long does it take for Diego to complete one full revolution on the Ferris wheel? minutes Preview

Q: =) = 4 complement supplement π G radians radians

A: (a) The given angle is π4 The complement of the angle is given by π2-π4=2π-π4=π4 Therefore the…

Q: Simplify the following expressions. 1-sinx a. COSX CosX 1-sinx b. csce+cot@ csce-cot@

A:

Q: -7n Express the given radian measure in degree measure 210° (b) – 210° (c) 420° (d)– 420°

A: Given - Angle measurement -7π6radians To do - find the degree measure of the given angle

Q: 00:00 Enter decimal numbers in the boxes to identify the point in Quadrant II which is 3 units away…

A: The graph containing the properties of the quadrant is shown below. In third quadrant, x coordinate…

Q: a. Write an expression (in terms of s) to represent the number of radians Kristin has swept out…

A: Given data: Radius of the Ferris wheel = 12 meters(say r) . Let s represent the varying number of…

Q: Evaluate the expression without using a calculator and write your answer in radians. cos^-1(- 0) =

A: Given,           cos-1-0

Q: 6. Rewrite the expression as a function of a positive acute angle (in radians). DO NOT EVALUATE. (a)…

A: (a).   The given expression is: csc(3.75π)

Q: Determine what the sign will be for each trig function. a. sin130 b. cot80 C. sec300 d. csc 240

A:

Q: Find the amplitude, the period in radians, the phase shift in radians, and the vertical shift. 1. 2n…

A:

Q: 11T Find the exact value of arctan tan 6. Write your answer in radians in terms of T.

A:

Q: Covert 3pi/8 to radians. Express as an exact decimal.

A: Given angles in radian θ=3π8

Q: Evaluate sin e r drd0 Select one:

A:

Q: Convert the radian measure to degree measure. (a) n (b) n () - 금 (d) -2.787 (Round your answer to…

A:

Q: Let sint= a, cost=b, and tan t= c. Write the following expression in terms of a, b, and c., 4 tan…

A: We first try to simplify the given expression using trigonometric identities.…

Q: Evaluate. Write your answer as an integer or as a decimal rounded to the nearest hundredth cos 76°…

A: Given that, cos76° We have to find the value of it.

Q: Simplify (1 – cos² A)(1+ cot² A). COS

A: "Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: 16. Copy and complete the fol- lowing table, giving the sign of the function value in each quadrant.…

A: “Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: arccos(-root2/2)

A: Here we use basic trigonometric values.

Q: Evaluate the expression cos s(-): State your solution as an exact radian.

A: Solving the problem by finding the exact value of the expression.

Q: Evaluate the expression without using a calculator and write your answer in radians. arctan (-√3/3)…

A:

Q: Evaluate the expression without using calculator. Give the answer in radians

A:

Q: Evaluate the expression without using a calculator and write your answer in radians. sin^-1(- √3/2)…

A:

Q: Let sint=a, cost=b, and tan t= c. Write the following expression in terms of a, b, and c. 10 tan…

A:

Q: cos(- Find the exact value of `12

A:

Q: Evaluate the function without using a calculator. a. cos ( 300°) b. csc 6.

A: cos(360° - A) = cos(A) csc(π - A) = csc(A).

Q: Find the exact value of the expression sin 165°

A: *to find:- exact value of sin165°.

Q: A Ferris wheel has a 50-foot radius and the center of the Ferris wheel is 58 feet above the ground.…

A: Given that, the Ferris wheel is 58 feet above the ground and radius of the Ferris wheel is 50 and…

Q: Day 2: Which Trig Function should you pick? Solve for "x" T. Sine Cosine Submit 11 64° nere to…

A: Since we are given 2 sides one is the adjacent side to the angle and the other is the hypotenuse.…

Q: State the period, the amplitude, the phase shift, the vertical shift, any reflections, domain, and…

A: For a function y = d + a sin b(x - c), Period = 2π/|b|. Amplitude = |a| Phase shift(horizontal) = c…

Q: Let sint= a, cost=b, and tan t= c. Write the expression in terms of a, b, and c. 6 cos (-t)- cost 6…

A:

Q: In the figure below, a pole has two wires attached to it, one on each side, forming t right…

A: Given, Two right triangle with same height p. where a and b are length of the wire A and B…

Q: Find the cosine of 2J. K 5 I Write your answer as an integer or as a decimal rounded to the nearest…

A: Given triangle : As ∠k =90 apply Pythagoras theorem KI2+KJ2=IJ242+KJ2=52KJ=3

Q: Convert -300 degress  to radians. Express your result in terms of π and reduce the fraction to…

A: We know, 180° = π radian  So, 60° = (π/3) radian So, 5×60° = (5π/3) radian

Q: Fill in the blank/s : cos(x + y) = ___________

A: cos(A+B)=cos A cos B - sin A sin B

Q: Let sint= a, cost3b, and tant=c. Write the following expression in terms of a, b, and c. 4 tan (-t)-…

A:

Q: vert -218° to radians, expressing your answe r only the reduced fraction: T radians.

A:

Q: Convert -250° from degrees to radians. Give the answer in exact form in terms of Tt. -250° =

A: Given  - 250 degree to convert in radian We use  1 rad = 180/π degree

Q: Write both the sum and the difference formulas for sine.

A:

Q: Find 0 in radians. radians

A: Use the trigonometry ratio and find the angle .

Q: la) Convert 43° to radians.

A: Given, 43o Now to convert degrees to radians, 180o = 22/7 radians

Q: Rewrite the expression as a function of a positive acute angle (in radians). DO NOT EVALUATE. (a)…

A: 1 Radian=180°πIn graph:1st Quadrant: 0 to 90°       =  sinθ,cosθ,tanθ,secθ,cosecθ,cotθ positive2nd…

Q: Evaluate the expression below without using a calculator. sin(2cos-()) =|

A:

Q: Evaluate. Write your answer as an integer or as a decimal rounded to the nearest hundredth. cos 85°…

A:

Q: Let sin t= a, cos t = b, and tant= c. Write the expression in terms of a, b, and c. 13 cos (-t)-…

A: We have to solve

Q: 2) Convert degrees to radians. radians degrees x 180 Let pi = a) 245° = Answer = b) 350° = Answer =

A:

Q: 7C Use a cofunction to write an expression equal to sin

A:

Q: A Ferris wheel has a 46-foot radius and the center of the Ferris wheel is 50 feet above the ground.…

A:

Q: Evaluate the following expression. arccsc(/2) Provide your answer below: Radians

A: We can find the answer as below.

Q: Find the amplitude, period, Face shift and vertical shift:  y=-sin(x/2+pi/8)-1

A: