Prove the identity.tan2x ? sin2x = tan2x - sin2x

What will be an ideal response?


Answers may vary. One possible solution is:
tan2x ? sin2x = (sec2x - 1)sin2x = tan2x - sin2x

Mathematics

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Simplify. Express your answer with positive exponents. Assume that all variables are nonzero.(x-2y5)-2

A.
B.  
C.  
D.  

Mathematics

Factor completely. If the polynomial cannot be factored, write "prime."8x3 + y3

A. (8x + y)(x2 - 2xy + y2) B. (2x + y)(4x2 - 2xy + y2) C. (2x - y)(4x2 + 2xy + y2) D. (2x + y)(4x2 + y2)

Mathematics

The figure is a model of George Ferris's Ferris wheel. The diameter of the wheel is 245 feet; and ? is the central angle formed as a rider travels from his or her initial position P0 to position P1. Find the distance traveled by the rider if ?= 216°. ?

A. 460.8 ft B. 457.8 ft C. 458.8 ft D. 461.8 ft E. 463.8 ft

Mathematics

Find an equation of the line with the given slope and y-intercept.Slope = 3, y-intercept = (0, 0)

A. y = 3 B. y = x + 3 C. y = 3x D. x = 3y

Mathematics