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Trigonometry

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?

Tan (2 arc cos (x/3))

Simplify: tan (2 arc cos (x/3)) Solution shall not contain trig and inverse trig functions. Do not use calculator.

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.

Review of previous posting

(See attached file for full problem description and diagrams) --- Need help with the following questions. A Little League team is building a backstop for its practice field. It is made up of two right angles as shown below. The backstop extends 24 feet 8 inches out in each direction and the center pole is 6.5 yards high.

Trigonometry: Close Encounters of the Third Kind

In the movie Close Encounters of Third Kind, there was a scene where the star, Richard Dreyfuss, was approaching Devil's Tower in Wyoming. He could have determined his distance from Devil's Tower by first stopping at point P, and taken a measurement of the angle from his location to the height of the tower of 13.5 degrees. He

Amplitude

What is the amplitude of the wave of the equation y=-4 sin 5x?

Spherical polar coordinates

I am trying to find the grad function of the spherical polar coordinates shown on the attached file. I have completed the question to a certain extent but am not sure if it is correct. Could you please ensure its accuracy and complete by simplifying the solution (trig identities etc) as I am unable to do so? (See attached f

Tangent sum formulas

Explain why tan(x + 450 degrees) cannot be simplified using the tangent sum formulas but can be simplified by using the sine and cosine formulas. (Please show all work).

15 Trigonometry Problems : Angular Velocity, Shadows, Waves and Triangles

Trigonometry Review 1. Assume the angle of inclination of the sun is given by Theta = (pi/12)t, where t is the number of hours after sunrise. Suppose we have a 10 meter high flagpole. a. What is the angular velocity of the sun? b. Write an equation for the length of the flagpole's shadow when the angle of the sun is theta rad

Wave Equation : Triangular Pulse

Let u(x; y) be the solution on 0 < x < 2 and 0 < y < 2 of uxx + uyy = 0 with u(0, y) = u(2, y) = u(x, 2) = 0 and u(x, 0) = f(x) the triangular pulse with f(0) = f(2) = 0 and f(1) = 2. f(x) = {2x 0<x<1 {-2x+4 1<x<2 Let uj,k = u(j/2; k/2) for j = 1; 2; 3 and k = 1; 2; 3 as obtained by the numerical method. (a)

Trigonometric Substitution

Please see the attached file for the fully formatted problem. Use trigonometric substitution to write the algebraic expression sqrt(36-4x2) as a trigonometric function, where the substitution is x = 3 cos theta and 0<theta<pi/2.

Trigonometric equation

See attached file --- find all solutions of the equation in the interval [0,2&#61552;). tan(x+ pi) + 2sin(x+pi) = 0 [show all the steps in solving this equation, not just the answer] ---