Verify that the equation is an identity.tan = -cot x

What will be an ideal response?


tan  =  =  =  = -cot x.

Mathematics

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Sam  starts  walking  from  point  A  at 1 miles per hour. One-half  hour  later, Paul  starts  walking  from  point A at 1.5 miles per hour  and  follows  the  same  route. How long will it take Paul to catch up with Sam?

A. 60 minutes B. 65 minutes C. 55 minutes D. 70 minutes

Mathematics

Solve the problem.A piece of molding 150 cm long is to be cut to form a rectangular picture frame. What dimensions will enclose the largest area? Round to the nearest hundredth, if necessary.

A. 37.5 cm × 37.5 cm B. 30 cm × 30 cm C. 12.25 cm × 37.5 cm D. 12.25 cm × 12.25 cm

Mathematics

Create a graph with the given properties.Five even vertices

What will be an ideal response?

Mathematics

Find the standard equation of the ellipse shown in the figure. Identify the coordinates of the vertices, endpoints of the minor axis, and the foci.

A.  +  = 1; V(0, ±4); U(±3, 0); F(±4, 0)
B.  +  = 1; V(0, ±4); U(±3, 0); F(0, ±)
C.  +  = 1; V(±3, 0); U(0, ±3); F(±5, 0)
D.  +  = 1; V(±4, 0); U(0, ±3); F(±, 0)

Mathematics