Establish the identity.csc 4 x - cot 4 x = csc 2 x + cot 2 x

What will be an ideal response?


csc 4 x - cot 4 x = (csc 2 x + cot 2 x)(csc 2 x - cot 2 x) = (csc 2 x + cot 2 x)(1) = csc 2 x + cot 2 x.

Mathematics

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Solve the problem.Suppose you invest $P on a CD paying 3% interest compounded continuously for a term of five years. At the end of the term you get $3485.50 from the bank. Find the value of the original principal P. Round your answer to the nearest dollar.

A. $2775 B. $3025 C. $3005 D. $3000 E. $2995

Mathematics

Find the vertex of the parabola.f(x) = -3x2 + 24x - 48

A. (4, 0) B. (-4, 0) C. (0, 4) D. (0, -4)

Mathematics

Factor as completely as possible. If unfactorable, indicate that the polynomial is prime.-12x2 - 10x + 12

A. -2(3x - 2)(2x + 3) B. (-6x + 4)(2x + 3) C. prime D. -2(3x + 2)(2x - 3)

Mathematics

Perform the indicated arithmetic.24 ÷ 4

A. 6
B. 112
C. 5
D. 5

Mathematics