Double Angle Identities and Solving Trigonometric Equations

I need help solving Double Angle Identities: Find the exact value, given that sin A = -4/5 with a in quadrant IV. cos 2A I also need help Solving Trigonometric Equations: Solve each equation for solutions in the interval [0, 360). Use either an algebraic method or a graphical method. tan x - cot x = 0 csc^2 ...continues

10 Trigonometry Application Word Problems : Angles and Lengths

1. Suppose that a boat leaves Jacksonville traveling at a bearing of 110o. It goes 30.0 km, and then travels 100.0 km at a bearing of 170o. How far is it from Jacksonville? 2. Suppose that I am trying to judge the distance across a lake. I stand facing some house on the opposite shore. I turn 95o to the left, and walk 20 me ...continues

Height question

While traveling across flat land, you notice a mountain directly in front of you. The angle of elevation to the peak is 2.5 degrees. After you drive 17 miles closer to the mountain, the angle of elevation is 9 degrees. Approximate the height of the mountain. (show all you work, including graphs)

Verify the Trigonometric Identity

Verify this identity: Sec6x(SecxTanx) - Sec4x(SecxTanx) = Sec5xTan3x [include all the steps leading up to the verification]

Triangles : Prove a Trigonometric Relation -- (b +c )cos A+(c +a) cos B+ (a + b)cos C=a+b+c

In any triangle ABC, prove that (b +c )cos A+(c +a) cos B+ (a + b)cos C=a+b+c

sum and difference formula

Please see the attached file.

verifying identities

Verify the identity in the attached document

Trigonometric equation

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

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

Trigonometric Identities : Identify the expression that completes the equation (1+sinx/cosx) + (cosx/1+sinx).

Identify the expression that completes the equation (1+sinx/cosx) + (cosx/1+sinx). A. –2sinx B. 2cscx C. 2secx D. 1 [show the identities and the steps involved in completing this problem]