Establish the identity.csc3 x tan2 x = csc x (1 + tan2 x)

What will be an ideal response?


csc3 x tan2 x = csc x tan2 x (1 + cot2 x) = csc x (1 + tan2 x).

Mathematics

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Evaluate the integral.

A.  sec2x - 9 ln + C or   tan2x - 9 ln + C
B.  sec2x - ln + C or   tan2x - ln + C
C. 7 sec2x + 9 ln + C or 7 tan2x + 9 ln + C
D.  tan2x - 9 ln + C or   tan2x + 9 ln + C

Mathematics

Translate the question into a proportion. Do not solve.55% of what number is 8.7?

A.  = 
B.  = 
C.  = 
D.  = 

Mathematics

Use the FOIL method to find the products.(-5x + 10)(-3x - 4)

A. -8x2 - 10x - 10 B. 15x2 - 10x - 10 C. 15x2 - 10x - 40 D. -8x2 - 10x - 40

Mathematics

Solve the problem. Round your answer to two decimal places.The period of vibration P for a pendulum varies directly as the square root of the length L. If the period of vibration is 3 sec when the length is 36 inches, what is the period when  inches?

A. 3.5 sec B. 3.75 sec C. 0.75 sec D. 3.25 sec

Mathematics