Mathematics Homework Solutions

Finding the Central Angle of a Sector

If a sector of a given circle has an area of 875ft2 and its radius is 23ft, find the measure of the central angle in radians.

Find the value of a cotangent.

Find the value of cot 35.2 degree rounded to four significant digits.

Convert 4.752 radians to degree measure. Round to three significant digits.

Convert 4.752 radians to degree measure. Round to three significant digits.

Angular Displacement

The flywheel of a gasoline engine rotates at an angular speed of 3240 rpm. Find its angular displacement (in revolution) in 10 sec.

Adding Vectors using Trigonometry

Given vectors v= 150mi at 175 degree and w= 270 mi at 215 degree. Find the sum of v and w.

Solving Trigonometric Identities

Prove the trigonometric identity 1 + cosx = 1 _______ _________ sinx cscx - cotx

Right Triangle

1. Find the length L from point A to the top of the pole. 2. Lookout station A is 15 km west of station B. The bearing from A to a fire directly south of B is S 37°50' E. How far is the fire from B? 3. The wheels of a car have a 24-in. diameter. When the car is being driven so that the wheels make 10 revolutions per secon ...continues

Solving Trigonometric Equations

Find all of the exact solutions for the equation: 3-3sin(x)=2cos^2(x)

Exact values of cosin functions

Find the exact values of cos(7pi/12) and cos(3pi/8)

Algebraic expression for sin

Find an algebraic expression for: sin(Arcsin x + Arctanx)

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