Prove the identity.ln |csc x| = -ln |sin x|

What will be an ideal response?


ln | csc x | = ln |(sin x)-1| = - ln | sin x|.

Mathematics

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Decide whether or not the given equation is an identity.sin y tan y - cos y = sec y

A. Yes B. No

Mathematics

Write out the terms of the series.

A. x + 2x2 + 3x3 + 4x4 + 5x5 B. x + 2x2 + 3x3 + 4x4 + 5x5 + . . . C. x + x2 + x3 + x4 + x5 D. 1 + 2x2 + 3x3 + 4x4 + 5x5

Mathematics

Find the area. Round your answer to the nearest hundredth if necessary.Find the area of a regular decagon (10 sides) inscribed in a circle of radius 10 inches.

A. 500 cos 36° ? 404.51 square inches B. 500 sin 45° ? 353.55 square inches C. 500 sin 36° ? 293.89 square inches D. 1000 sin 36° ? 587.79 square inches

Mathematics

Solve.In how many ways can 6 people line up for play tickets?

A. 1 B. 720 C. 46,656 D. 6

Mathematics