Establish the identity.1 + sec2x sin2x = sec2x

What will be an ideal response?


1 + sec2 x sin2 x = 1 +  = 1 + tan2 x = sec2 x.

Mathematics

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Solve the problem.A trough is to be made with an end of the dimensions shown. The length of the trough is to be  long. Only the angle ? can be varied. What value of ? will maximize the trough's volume?

A. 32° B. 30° C. 50° D. 10°

Mathematics

Solve the equation.4x + 4 = 5(x - 2)

A. 6 B. -14 C. -6 D. 14

Mathematics

Solve the problem.From a point on a straight road, two cars are driven in opposite directions, one at 33 miles per hour and the other at 57 miles per hour. In how many hours will they be 360 miles apart?

A. Not enough information B. 5 hours C. 4 hours D. 3 hours

Mathematics

Express as a single logarithm and, if possible, simplify.6logc x - logc y

A. logc  
B. logc (x6 - y)
C. logc x6 ÷ logc y
D. logc 

Mathematics