Prove that the equation is an identity.(sec2x - 1) ( sec2x + 1)  = tan4x + 2 tan2x

What will be an ideal response?


(sec2x - 1) ( sec2x + 1)  = tan2x ? ( sec2x + 1)Pythagorean identity
 =  tan2x ? sec2x + tan2x 
 =  tan2x (tan2x  + 1) + tan2x  Pythagorean identity
 = tan4x  + tan2x + tan2x 
 =  tan4x + 2 tan2x 

Mathematics

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Answer the following statement true (T) or false (F)

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Graph the system of inequalities, and find the coordinates of the vertices.x + 2y ? 2 x + y ? 0

A.

B.

C.

D.

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The power, in watts, dissipated as heat in a resistor varies jointly with the resistance, in ohms, and the square of the current, in amperes. A 45-ohm resistor carrying a current of 1 ampere dissipates 45 watts. How much power is dissipated in a 40-ohm resistor carrying a current of 2 amperes? ?

A. ?
B. ?
C. ?
D.
E. ?

Mathematics

Determine if the function is a power function. If it is, then state the power and constant of variation.f(x) = 4 ? 5x

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Mathematics