Question

By sketching a suitable pair of graphs, show that the equation
cosec x = (1/2)x+1
where x is in radians, has a root in the intervale 0 14 years ago

Answer 1

@.Sam.

Answer 2

This is Graph from -Pi to Pi

Answer 3

How could you do this by plugging in values, since the calc doesn't have any cosec values?

Answer 4

1/Sin(x)=csc(x)

Answer 5

so it becomes 1/sin(x) = 1/2(x) +1?

Answer 6

pretty much yeah

Answer 7

but which is the y and which is the x value?

Answer 8

plot cscx=y and the line y= 0.5x+1 on same graph...they will intersect in the interval given, to give a root..

Answer 9

but cscx=y is equivalent to 1/sin x=y?

Answer 10

yeah

Answer 11

OK, that makes more sense now :)

Answer 12

You just sketch both sides then get the intersection