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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A card is drawn randomly from a standard 52-card deck. Find the probability of the specified event. The card is a heart that is not a king.

A.  
B.  
C.  
D.

Mathematics

Solve the problem.The height h in feet of a projectile thrown upward from the roof of a building after time t seconds is shown in the graph below. Find and interpret h(0.6).

A. 425 ft; The projectile will be 425 feet above the roof of the building 0.6 seconds after it is thrown. B. 375 ft; The projectile will be 375 feet above the roof of the building 0.6 seconds after it is thrown. C. 400 ft; The projectile will be 400 feet above the ground 0.6 seconds after it is thrown. D. 450 ft; The projectile will be 450 feet above the ground 0.6 seconds after it is thrown.

Mathematics

Divide. Simplify, if necessary. ÷ 

A. - 
B.
C. - 
D. - 

Mathematics

Solve the problem.The sides of a triangle are 8 inches, 10 inches, and 12 inches. If the shortest side of a similar triangle is 48 inches, find its longest side.

A. 59 in. B. 10 in. C. 60 in. D. 72 in.

Mathematics