Establish the identity.cot x sec4 x = cot x + 2 tan x + tan3 x

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cot x sec4 x = cot x (1 + tan 2 x)2  = cot x (1 + 2 tan2 x + tan4 x) = cot x + 2 tan x + tan3 x.

Mathematics

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Provide an appropriate response.True or false?  ?  = 

A. True B. False

Mathematics

Solve the compound inequality and write the solution set using set-builder notation. Graph the solution set using a number line.x ? 4 or 3x < -12

A. {x}

B. {x}

C. {x}

D. {x or x ? 4}

Mathematics

Perform the indicated operations.5 ? 9 + 5(10 + 5) + 8

A. 160 B. 128 C. 108 D. 1058

Mathematics

Use mathematical induction to prove that the statement is true for every positive integer n.4 ? 6 + 5 ? 7 + 6 ? 8 + . . . +(n + 3)(n + 5) = 

What will be an ideal response?

Mathematics