Verify the identity.sin 4x = 2 sin 2x cos 2x

What will be an ideal response?


sin 4x = sin [2(2x)] = 2 sin 2x cos 2x.

Mathematics

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Find the nonreal complex solutions of the equation.5x2 - 5x + 7 = 0

A.
B.
C.
D.

Mathematics

Solve for y or k, as appropriate.ex2e3x+3 = ek

A. x2 - 3x - 3 B. x2 + 3x + 3 C. ln (x2 + 3x + 3) D. 3x3 + 3x2

Mathematics

Completely factor the polynomial or state that the polynomial is prime.27x3 + 1

A. (3x + 1)(9x2 - 3x - 1) B. (3x + 1)(9x2 - 3x + 1) C. (3x + 1)(9x2 + 3x + 1) D. (3x + 1)(9x2 + 1)

Mathematics

Find the equation of the tangent line at the given point on the curve.x2 + y2 + 2y = 0; (0, -2)

A. y = -x B. y = -x - 2 C. x = 0 D. y = -2

Mathematics