Mathematics Homework Solutions

practice problem help

(See attached file for full problem description with equations and diagram) --- show all calculations and graphical representations used. 1. Find the length L from point A to the top of the pole. (see diagram in attachment) 2. Lookout station A is 15 km west of station B. The bearing from A to a fire directly south of B ...continues

Pipe Diameter Questions

6. A V-gauge is used to find the diameters of pipes. In the figure on p. 373 in the text, the measure of angle AVB is 54°. A pipe is placed in the V-shaped slot and the distance VP is used to predict the diameter. a.Suppose that the diameter of a pipe is 2 cm. What is the distance VP? b.Suppose that the distance VP is 3. ...continues

Solve Trigononmetric Expressions (8 Problems) ( Arcsin and Arccos )

Set -pi/2 <= x <= pi x = arcsin[sin(5pi/3)] = _______pi x = arcsin[sin(7pi/4)] = _______pi x = arccos[cos(-5pi/6)] = ______pi x = arccos[cos(3pi/2)] = _______pi x = arccos[cos(3pi/4)] = ______pi x = arctan[cos(3pi/2)] = ______pi x = arcsin[sin(7pi/6)] = _____pi Write as a multiple of pi. pi = 3.14159. ...continues

Trigonometry : Displacement, Energy of Motion, Output Current, Amplitude and Phase Angle

2. The displacement of a body is given by s = 4 sin (t + 30 degrees), and a force acting upon the body is given by F = 7 sin (t — 60°). If the energy of the motion, E, at time t is the product Fs, show that E =—14 cos (2t — 30°) 3. Alternating currents i1 and i2 flowing into a circuit node are given by i1= 0.02 sin ωt a ...continues

Solve the Trigonometric Equations : (sin x)^2 = 1/36 and (cos x)^2 = 1/25

Solve for x. In each equation below, x has four roots. (a) (sin x)^2 = 1/36 (b) (cos x)^2 = 1/25 Note: Do not use caculator. The results should not contain floating points.

Use Identities to Simplify (Trig)

[sin(x)^4 - sin(x)^2]/[sec(x)]= I tried simplifying, but I get cos(x)^5 - cos(x)^3 and this isn't right.

The wheels of a car have a 24-in. diameter. When the car is being driven so that the wheels make 10 revolutions per second, how far with the car travel in one minute?

The wheels of a car have a 24-in. diameter. When the car is being driven so that the wheels make 10 revolutions per second, how far with the car travel in one minute?

Trigonometry Equation

What is the process to determine a force acting upon a body as in a displacement represented by say p=?sin(t+?degree) with a force say n =?sin(t-?degrees) so that it evaluates to a given figure of energy of motion?

Solve the Trigonometric Equation cosθ-sinθ=1/√2.

Please see the attached file for the fully formatted problems.

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