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

What will be an ideal response?

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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Decompose into partial fractions.

A.  + 
B.  - 
C.  + 
D.  - 

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Mathematics

Do the operation and express the answer in a + bi form.



A) - 11 + 18 i
B) 11 + 9 i
C) - 11 + 9 i
D) - 11 - 9 i
E) 11 - 9 i

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Mathematics

Solve the system mentally, without the use of a calculator or pencil-and-paper calculation. Try to visualize the graphs of both lines.x + 0y = 90x + y = 4

A. x = 9; y = 4
B. x = 4; y = 9
C. x = 9; y = 2
D. x = 2; y = 

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Mathematics

Find area of figure. Round to the nearest hundredth if necessary.

A. 25 cm2
B. 11 cm2
C. 22 cm2
D. 30 cm2

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Mathematics