1. A compact disc can have an angular speed up to 3152 radians per minute. At this angular speed, how many revolutions per minute would the CD make? Round your answer to the nearest integer.

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: An object is traveling around a circle with a radius of 5 inches. If in 30 seconds a central angle…

A: Topic:- angular and linear velocity

Q: Find the values of 0 in degrees (0" <0< 90°) and radians 0<< without the aid of a calculator. sec 0…

A:

Q: e a calculator to evaluate. Round values to three decim: nsider the correct angle mode. sin-1 tan-…

A:

Q: An angle of measure π6 intersects the unit circle at point (32, 12). What is the exact value of…

A:

Q: Given that tan(0) - and 0 is in Quadrant II, what is cos(0)? Write your answer in exact form. Do not…

A: tan(θ)=-724 and θ is in quadrant II

Q: A Ferris wheel is 60 ft in diameter and makes 1 revolution in 90 seconds. Find its angular speed in…

A: Given:

Q: QUESTION 1 Convert the angle written in DMS to decimal degrees: 2830 48' 14". Report below the…

A:

Q: Suppose an angle measures 2.32 radians. What is the related acute angle corresponding to this angle…

A:

Q: A flashlight has a beam that travels 5 ft and covers an area bounded by an arc measuring radians 10…

A: On solving this we will get:-

Q: 1. Find the exact value of the six trigonometric functions of the angle 0 in the figure. 3 6

A: Given figure,

Q: Use a calculator to evaluate the expression.   Round your answer to the nearest hundredth.…

A:

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: An object is traveling around a circle with a radius of 10 feet. If in 50 seconds a central angle…

A:

Q: The minute hand of a clock moves from 12 to 2 o’clock, or 1/6 of a complete revolution. Through how…

A: One revolution measures 360 degrees

Q: ind the values of θ in degrees (0° &lt; θ &lt; 90°) and radians (0 &lt; θ &lt; π/2) without using a…

A: First we find tan theta from cot theta.

Q: Given that sine 3/5 ande lies in quadrant II, find the following value. %3D tane 3/4 -3/4 -4/3

A:

Q: Express the following angular speed in radians per second. 13 revolutions per second The angular…

A:

Q: 11) Use a calculator to find the Angle, approximate to two decimal places. Make sure Calculator is…

A: Given that: 11-(a)cosθ=0.1736         (b)cotθ=2.7474

Q: If tan A= 2.12, what is the value of cot A rounded to the nearest tenth

A:

Q: 1. Convert 6 radians to degrees. Show your work

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Q: Find the angular velocity, in radians per minute, associated with the given revolutions per minute…

A:

Q: When figuring out this question, what would be the radians value, with 4pi/3?

A: The table of signs of different ratios in the quadrants is as shown below. II    only sin +ve I…

Q: If a wheel is currently rotating at 100 revolutions per minute, how many radians per second is this?…

A:

Q: Suppose angle 0, in radians, is in quadrant 3 of the unit circle. if sin(0)=-0.45, what are the…

A:

Q: If a windmill makes 20 full revolutions every 1 minute, what is its angular speed? Enter an exact…

A:

Q: A fly is observed traveling around a circle of radius 20 feet for 60 minutes. During this time the…

A: To determine the speed of fly.

Q: Find the exact value of the remaining trigonometric functions of θ. 11.Sinθ= 5/13, θ in quadrant…

A: Here we trigonometry ratio in 2nd quadrant.

Q: How many degrees is 1⅕ of a complete revolution? How about, how many radians is 11/5 of a complete…

A:

Q: 4. A wheel is rotating at 50 revolutions per min. Find angular speed in rad/sec

A: As per our company guidelines we are supposed to answer ?️only one question. Kindly repost other…

Q: A point on a wheel moves at 27x radians per minute. 5 How many seconds are required for the point to…

A: Given problem:- A point on a wheel moves at 27% 5 radians per minute.   How many seconds are…

Q: An object is traveling around a circle with a radius of 9 inches. If in 50 seconds a central angle…

A: To determine: The linear and angular speeed of the given object. Given: Radius = 9 inch Time = 50…

Q: 53) Convert II15°rad into degrees. 12

A:

Q: What is the value of cot 0, if cos 0 = and csc 0 < 0

A: Given that: cosθ=35 and cscθ&lt;0

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: 37 What is the angular speed in radians/second associated with a rotating an angle 4 radians in 2…

A: We are asked to find the angular speed.

Q: Use a calculator to evaluate the expression.   Round your answer to the nearest hundredth.…

A:

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

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

Q: Find the exact value of sine α​, given that cosine alpha equals cos α=− 6/11 and α is in quadrant…

A: Given, value of cosine in quadrant II. The value of cosine is negative in quadrant II

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: (a) Explain in words how you would use the unit circle to evaluate cos(1437) and sin(-).

A:

Q: A wheel rotates at the rate of 25 revolutions per minute. How many radians per minute does it…

A:

Q: Suppose a car runs over a nail while driving at a speed of 65 miles per hour, and the nail is lodged…

A:

Q: Convert the given (negative) angle into a radian measure. First, give the exact value in radians, as…

A:

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

A: Given: The minute hand of a clock moves from 12 to 4 o'clock. The minute hand turns 13 of a…

Q: By applying the compound angles and without using a calculator determine the value of Cos15°

A:

Q: What angle (in radians) corresponds to 0.25 rotations around the unit circle? radians (Give an exact…

A:

Q: Express the following angular speed in radians per second. 13 revolutions per second

A: To determine: 13 revolutions per second into radians per second.

Q: What is the angular speed in radians per second of a large flywheel that rotates through an angle of…

A: In 2 seconds it rotates 200 degrees So in 1 second it will rotate (200/2)=100 degree So the angular…

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.