Mathematics Homework Solutions

Verifying Trigonometric Identities

Verify the following identities: a. cos x (tan^2 x + 1) = sec x b. 1 _________ = 1 tan x csc x c. (sin^2 x - sin^4 x)cos x = cos^3 x sin ^2 x

Trigonometry: Trigonometric expressions

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Trigonometry: Solving Trigonometric Equations and Proving Identities

Manipulate trigonometric expressions, sketch graphs of trigonometric functions and solve equations. Find the general solution of the following trigonometric equations: 1.a)cosθcos(pi/6)+sinθsin(pi/6) =0.25 b) 2sin^2 x - 5cosx+ 1 = 0 2. Prove: cos(θ+ pi/4) - sin(θ + pi/4) = 2cos(θ+ pi/4)

Plane trigonometry

(See attached file for full problem description) Write equivalent equations in the form of inverse functions for.... Verify the identity....

Solve trigonometric equations and identities

To solve trigonometric equations and identities. See attached file for full problem description.

Powers of sine and cosine and exact trigonometric constants

1) Express (cosx)^n in terms of sums of coskx 2) Express (sinx)^n in terms of sums of coskx or sinkx 3) Express cosnx in terms of sums of (cosx)^k 4) Express sinnx in terms of sums of (sinx)^k 5) Derive exact trigonometric identities for sin(k*pi) for k being: 1/12, 1/10,1/8,1/6,1/5,1/4,3/10,1/3,3/8,2/5,5/12

Use identities to find each function value

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Exact trigonometric function values

(See attached file for full problem description) Solve for the tan and cot.

Exact circular function value

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Ttrig problem

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