Please answer number 2 to 5.Topic: Unit Circle Solve the following.1. How many degrees is 1 of a complete revolution?2. How many radians is of a complete revolution?3. What is the length of an arc of a circle with radius 4 cm that subtends a centralangle of 216.?4. What is the smallest positive angle coterminal with 2110.?5. Find the area of a sector of a circle with central angle of if the diameter of 6 thecircle is 9 cm.

1. How many degrees is 1 of a complete revolution? The measure of one complete revolution is 360…

Answered: 1. How many degrees is 1 of a complete…

Math

Calculus

1. How many degrees is 1 of a complete revolution? 2. How many radians is of a complete revolution?

Algebra and Trigonometry (MindTap Course List)

4th Edition

ISBN:9781305071742

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter5: Trigonometric Functions: Right Triangle Approach

Section5.CR: Chapter Review

Problem 3CC

See similar textbooks

Related questions

Q: Through how many radians does the hour hand on a clock rotate in (a) 24 hr and (b) 4 hr?

A: Since a clock is a circle it is equal to 2π radian One full rotation takes 12 hours to complete. So…

Q: 137 Use the appropriate compound angle formula in order to find the exact value for the ratio cos 12

Q: 1. Use trigonometry to find the measure of x. Sine-을 Cose-습 Taneo=옷 1200 ft. 14.04 48°

A: Consider the given figure:

Q: 10. Use a half angle formula to determine the exact value of tan

Q: 3. James determines that the angle of elevation to the top of Bohol Tropics Resort Building measures…

A: Given

Q: How many radians does the minute hand of the clock move in 18 hours

A: topic - circular angles

Q: 2. Convert the following: radians to degrees 225° to radians

Q: Find the value of each trigonometric ratio to the nearest ten-thousandth. cos 69 O 0.0000 1.0000 O…

A: Given that: cos(69°)

Q: How many radians are there in a complete circle?

A: Given, Radians in a circle.

Q: Through what angles (measured in radians) do the minute hand and the hour hand of a clock move…

A: Given- Clock movement between 1:00 p.m. and 4:15 pm on the same day. To find- The angles between the…

Q: 9) The minute hand of a clock is 2.7 centimeters long. To two significant digits, how far does the…

A: Given : length of minute hand = 2.7 cm It moves through 15 minutes . To calculate the distance…

Q: Through how many radians does the minute hand on a clock rotate in (a) 12 hr and (b) 3 hr?

Q: 口 1. How many radians are in 9° ? 20 8x 25

A: The objective is to convert the given degrees into radians

Q: Calculate the radian equivalent of 460 degrees. 21n/9 rad 8.03 22n/9 rad 9n/22 rad 8.02 8.01

A: Given :Degree= 460°

Q: (器 24 25 arccos Number radians

Q: 18. A central angle 0 in a wheel of a bike measures 4 radians. If the diameter of its spoke is 40…

A: Given central angle θ in a wheel of bike=4 radians The diameter of spoke of wheel=40 cm We know that…

Q: 3. A. Through how many radians does the minute hand of a clock sweep between 9:05 pm and 9:30 pm?

Q: Find the value of each trigonometric ratio to the nearest ten-thousandth. 7) sin 62° 8) sin 14° 9)…

Q: 2. An angle of measure 60° intersects the unit circle at point (, ). What is the exact value of…

A: Solve for cos 60

Q: Question 2. Find the missing pieces of the triangle. Round to the nearest tenth (one decimal place)…

A: Given that Angle B =23° Angle C=90° AB=34

Q: 12 The radian measure equals degrees and degrees sqenba

Q: A machine at a bottling factory picks up a bottle and moves it through an arc length of 3.2 m.…

Q: What is 175° in radians? O Cannot be converted 35 T rad 36 13 RT rad 35 T rad 18

A: Solving the problem by converting the degree to radians.

Q: 49. If cos 1√√3 is a point on the unit circle corresponding to the angle in standard position, then…

Q: 1. Use a unit circle to determine the exact values for the primary trigonometric ratios for 240° 0.5…

A: According to question, We have to use unit circle, so, Radius of circle = 1 unit

Q: 3. The minute hand of a clock moves from 12 to 4 o'clock, or 1/3 of a complete revolution. Through…

Q: Find ? if ? is between 0° and 90°. Round your answer to the nearest tenth of a degree. tan ? =…

A: Obtaining the general solution of tanx

Q: 1. Through how many radians do the minute hand and hour hand of an analog clock each move in a 100…

A: Given, A analog clock We have to find the how many radians minute hand and hour hand of clock move…

Q: 1-Find the smallest angle in a triangle with sides 7, 9, and 12. Give answers in both radians and in…

Q: 7) sin 62° 9) cos 60°

A: Q(9)cos(60°)=12=0.5 Ans

Q: 13. Consider the diagram below. Determine the mzain radians. a 9 in 12m in

Q: The restaurant at the top of a very tall building in Seattle rotates 1.01 revolutions every 20.6…

A: (a1) Use 1 revolution is 2π rad So, 2π*1.01/60=0.1057 rad/minuteSo, 113*0.1057 = 11.95 rad

Q: Determine the length of the arc (in radian measure) and the measure of the angle (in radian and…

A: To Determine : The length of the arc (in radian measure) and the measure of the angle (in radian…

Q: 2. A central angle e in a circle of radius 5 cm is subtended by an arc of 6cm. What is the measure…

A: A circle of radius 5 cm is subtended by an arc of 6 cm. We have to find the angle θ.

Q: Through how many radians does the minute hand of a clock sweep between 9:05 pm and 9:30 pm?

A: Trigonometry

Q: Find sin A, cos A, tan A, and sin B, cos B, and tan B in right triangle ABC, with C=90 degree b=1…

Q: Through how many radians does the minute hand of a clock turn during a 2-minute period? rad 3

A: Explanation of the answer is as follows

Q: toa tane= 1115 find e decimal Radian, Sdec places.

A: We have to find θ in radians to 3 decimal places for tanθ=1.115

Q: Suppose a ferris wheel with a 75 foot radius takes 3 minutes to complete 1 rotation. Use n = 3.14 in…

Q: A circle has a radius of 19 in. Find the radian measure of the central angle 0 that intercepts an…

A: we have find the measure of the central angle

Q: 3. Suppose ABC is a triangle in which <C is 90 degrees. If BC/AB = ½ what is the exact value of…

Q: 2.a Convert radians into degrees. Answer: 3 2.b Convert 80° into radians. Answer:

A: π radian = 180o 1 radian = (180π)o…

Q: 1. Draw a diagram of a right triangle which has an angle of 23°. Find a. the size of the third angle…

Q: (4) Use the angle subtraction formulas to find the sine and cosine of 15°.

Q: (保) The terminal side of an angle 0 in standard position intersects the unit circle at What is cos…

A: The terminal side of an angle theta in standard position intersect the unit circle at (72/97,65/97)…

Q: 3. How many radians are there in a complete circle? О 2л гad O rad A rad О 4т rad

A: We know that, π radians= 180°

Q: 10. Use a half angle formula to determine the exact value of tan (#).

Q: Find the value of each trigonometric ratio to the nearest ten-thousandth. Cos 6° 0.0000 0.9945 O…

A: To find the value of Cos(6) Nearest ten thousand

Q: Through how many radians does the minute hand of a clock turn in three hours? 3pi 9pi 6 pi

A: In one hour the minute hand completes angle of: 2π

Q: use the unit circle to state the three basic trig ratios for 3. C)tane ()

A: Topic:- trigonometry ratios

Question

Please answer number 2 to 5. Topic: Unit Circle

Solve the following.
1. How many degrees is 1 of a complete revolution?
2. How many radians is of a complete revolution?
3. What is the length of an arc of a circle with radius 4 cm that subtends a central
angle of 216.?
4. What is the smallest positive angle coterminal with 2110.?
5. Find the area of a sector of a circle with central angle of if the diameter of 6 the
circle is 9 cm.

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step by step

Solved in 2 steps

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Area of a Circle$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, calculus and related others by exploring similar questions and additional content below.

Similar questions

In order to make a conical duct, a circular sheet of metal is to be cut in the shape of a sector of a circle. If the radius of the sector is 28.5 in. and the arc length of the of the sector is 26.4 in., what are the central angle, , and area of the sector?
An exit ramp from one freeway to another freeway forms a 900 arc of a circle. The ramp is scheduled for resurfacing. As shown, its inside radius is 370 ft, and its outside radius is 380 ft. What is the area of the ramp to the nearest integer?
Use your calculator to find, to two decimal places the lengths of the radius and the diameter of the circle with area 56.35 in2.
A circle has a radius of 27 inches. Find the length of the arc intercepted by a central angle of160 .