Identities

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

solutions of triangles

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

solving equations

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] ---