Verify the identity.csc4 x - cot4 x = csc2 x + cot2 x

What will be an ideal response?


csc4 x - cot4 x = (csc2 x + cot2 x)(csc2 x - cot2 x) = (csc2 x + cot2 x)(1) = csc2 x + cot2 x.

Mathematics

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Identify the interval where f is increasing or decreasing, as indicated. Express your answer in interval notation.f(x) = 4x2 - 3; increasing

A. [0, ?)
B.
C.
D. (-?, 0]

Mathematics

Find all solutions to the equation. Express your answer in degrees.cos2 t - 9 cos t + 18 = 0

A. 45° + 90°? n B. No solutions C. 60° + 180°? n D. 90° + 360°? n

Mathematics

Find the simple interest and the final value of the deposit that earns the given rate for the indicated length of time. Round your answers to the nearest cent.$45,469 earning 12.9% for 21 months

A. $10,753.42; $56,222.42 B. $10,350.88; $55,819.88 C. $9775.84; $55,244.84 D. $10,264.63; $55,733.63

Mathematics

Solve the system by the elimination method or a combination of the elimination and substitution methods.x2 + 4xy + 2y2 = 1 x2 - 4xy - 2y2 = 1

A. {(1, 0), (-1, 0), (1, -2), (-1, 2)} B. {(1, 1), (-1, -1), (1, -2), (-1, 2)} C. {(1, 0), (1, 1)} D. {(1, -2), (-1, 2)}

Mathematics