A sofa is 12 years old and a table is 36 years old. In how many years will thetable be twice as old as the sofa?

Q: what is its angular speed? Enter an exact answe

A:

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: Find the exact value of the expression cos(arcsin 4/5), if possible.

A:

Q: Use a calculator to approximate csc (- 304 degree).     1.2062

A:

Q: What is the period of cos(2rx)?

A: We know that the period of  cosx is 0 to 2 π Hence cos0 to cos 2π

Q: With her arms fully expanded, a baseball player swings her bat. Using her shoulders as the center of…

A:

Q: Find cos(θ), if sec(θ)=−2.  Round your answer to four decimal places.

A:

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?

A:

Q: A Ferris wheel has a radius of 42 feet and travels 5.2 feet every second. At what constant angular…

A:

Q: If the period of a sine wave is 0.0005 hr, then what is the frequency? The frequency of a sine wave…

A:

Q: Find exact value of 2cos15° cos75°

A: We have to find the exact value of , 2cos15° cos75°

Q: What is the exact value of cos⁡15∘?

A: According to the given information, it is required to find the exact value of cos(15).

Q: A piano string can produce a wave with a wavelength of 14.1 meters and a period of 2.19 millisecond.…

A:

Q: Find the exact value of cot(arcsin 38).

A:

Q: completes one rotation on its axis every 24 hours. Through how many 4. degrees does a point on the…

A:

Q: If alpha= -163 degrees and beta =31 degrees, what is the measure of theta?

A: Given:

Q: find period of tan 4X yo yo 5 10 5 Cos /oX

A: As per our policy, we re allowed to answer only question. Thus, I am providing the solution to the…

Q: Find cos(arctan(2))

A:

Q: Use a calculator to convert 120  degree 40' to radians. Round your answer to the nearest hundredth.…

A: Given information: A value of 120 degrees 40'

Q: Evalnate without using Calculator (^) Cos 2 () -9 (6) Sin 15°

A: a) We know that Therefore, we have

Q: How many radians is 11/5 of a complete revolution?

A: It is known that one complete revolution is equal to 2π radians. This implies that,

Q: Find the period of the wave whose frequency is 5.2 MHz. _______________

A: We have to find the period of the wave whose frequency is 5.2 MHz.

Q: 12. If a bicycle wheel makes 7 rotations a second and has a diameter of 75 cm, what cosine function…

A: The bicycle wheel makes 7 rotations a second and has a diameter of 75cm. Then the period of the…

Q: Find the exact value of sec 3 (플)

A: Given sec2π3   We have to find the exact value of  sec2π3

Q: Evaluate the expression. 48) cos arcsin 4

A: In the question we have find the value of the given function.

Q: Through how many radians will the hour hand on a clock rotate in 12 hours.

A: To determine the number of radians that an hour hand on a clock will rotate in 12 hours.

Q: Aship, moving 9 km per hour, sails north for 2 hours, then turns east. If a searchlight at the point…

A:

Q: The minute hand of a clock moves from 12 to 11 ​o'clock, or 11\12 of a complete revolution. Through…

A: minute hand of a clock moves from 12 to 11 o'clock or 11/12 of a complete revolution.   To find (i)…

Q: Find the exact value of cot[cos-1(-5/6)].

A: Given: The expression cotcos-1-56, To find: The exact value of the expression.

Q: An arctan(-3n).

A: Given, an=arctan(-3n)

Q: Find the exact value without a calculator. (:) arcsin cos

A:

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: what is cos(arccos(-3/7)) ?

A:

Q: Find all solutions of the equation 1 COSX=

A:

Q: Please find the exact value of cos 165 degrees

A: Find the value of cos(165°).

Q: alculate the value of cos(50° 30') with accuracy ɛ = 10-6

A: Here we have to find the value of cos(50°30')

Q: list the first six specific solutions of the equation cos theta = 1/2 that are greater than or equal…

A: We have to find  first six specific solutions of the equation cosθ=12.

Q: A 13 meter utility pole casts a21 meter shadow directly down a slope when the angle of elevation of…

A: A 13 meter utility pole casts a21 meter shadow directly down a slope when the angle of elevation of…

Q: A wheel makes 360 revolutions in one minute. through how many radians does it turns in one second?

A: Number of revolution wheel makes  in one minute (60 seconds) = 360 revolutions so, the number of…

Q: A tire is rotating 840 times per min. Through how many degrees does a point on the edge of the tire…

A:

Q: How many radians has the hand of a clock turned from 12:00 to 4:00?

A: A clock is divided into 12 sectors and each sector is represents an angle of (2π/12) = π/6 rad.So,…

Q: Find an exact value for cos(75 degrees)

A: Given: The trigonometric angle cos75° To find: The exact value of cos75°.

Q: Evaluate the expression without using a calculator. cos(arcsin(4/5)-arctan6)

A:

Q: Give the exact value of cos 3 (플),

A: Answer is Cos2x/3= -1/2.

Q: Use a half-angle formula to find the exact value of the expression cos 157.5°

A:

Q: Which trigonometric functions have a period of 2 pi ?

A: Given:Period of trigonometric function:         The tangent function and cotangent function have the…

Q: The radian of a number system Equals the number of its distinct counting digits why?

A: The radian of a number system is equal to its distinct counting digits.

Q: How many radians are there between the hands of a clock at eight o'çlock?

A: Query- How many radians are there between the hands of a clock at eight o'clock. Answer-  As There…

Q: What is the first step in finding the exact value of cos 495 degree ?

A: We have to determine the value of term cos495°. Since, angle θ=495° is more than 360°, therefore the…

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.