Mathematics Homework Solutions

Finding values of Inverse Trigonometric Functions

Find the values of the following Inverse Trigonometric Functions. ( Do not use calculator, if possible) 1) Sin^-1 (-0.5) 2) Cos^-1 [(-square root of 2)/2] 3) Tan^-1 [(square root of 3)/3] 4) Sin^-1 [ Sin (6 pi/7) ] 5) Cos^-1 [ Cos (7 pi/6)] 6) Cos^-1 [ Cos (- pi/3) To see the questions in their true mathematical fo ...continues

Finding value of a trigonometric function Cos [Sin^-1 (3/5)], Cos [Tan^-1 (7/5)]

Find the value of Trigonometric expression. 1) Cos [Sin^-1 (3/5)] 2) Cos [Tan^-1 (7/5)] See attached file for full problem description.

Trouble with some matrix

(See attached file for full problem description)

Right Triangle Trigonometry

As a group, work together to submit the answers to the following problems. Use the Small Group Discussion Board to divide tasks, discuss strategies for solving problems, and check each other’s work. The finished product should be one combined document for the entire group, showing all calculations and graphical representations u ...continues

Trigonometry Word Problems : Displacement and Power

1. The displacement of a body is given by, s = 4sin (t + 30degrees), and a force acting upon the body is given by, F = 7sin (t - 60degrees). If the energy of the motion, E, at time t is the product Fs, show that E = -14 cos (2t - 30 degrees). 2. The instantaneous current and voltage in an electric circuit are given by i = I ...continues

Finding Derivatives (12 Problems)

Answers and working to the questions: 1. Obtain dy for the following expressions. dx (a) y = (5x + 4)3 (b) y = (3 - 2x)5 (c) y = square root (5 - 0.6x) (d) y = (2 + 3x)-0.6 2. Differentiate the following with respect to o. (a) f(o) = sin(5o - 2) (b) f(o) = cos(4 - 3o) (c) ...continues

Finding Integrals (8 Problems)

(See attached file for full problem description with proper symbols) --- Answers and working for Integration questions: 1.Integrate the following functions with respect to . (i) sin(5 - 4) (ii) cos(3 - 2) 2. Integrate the following functions with respect to x. (i) 4e-3x (ii) ( ...continues

Suppose a satellite travels at a speed of 12560 mph about a planet

Suppose a satellite travels at a speed of 12560 mph about a planet having planetary radius equal to 4000 miles. assuming the satellite makes one full revolution about the planet every 3 hours, find the height of the satellite.

Trigonometry and Triangles Word Problems

Points A and B lie in a direct line on level ground to the west of a mountain which is known to be 1 mile high. The angle of elevation from point A to the mountain top is 4 degrees and the angle of elevation from point B to the mountain top is 6 degrees. Find the distance between points A and B.

Use trig. identities to transform one side of the equation into the other.

Use trig. identities to transform one side of the equation into the other. tan (data) + Cot (data) / tan(data) = csc^2

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