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If |cosec x|=(5pi)/(4)-|(x)/(2)AA x in(-...

If `|cosec x|=(5pi)/(4)-|(x)/(2)AA x in(-2pi,2pi)`, then the number of solutions are

A

8

B

6

C

4

D

2

Text Solution

Verified by Experts

The correct Answer is:
A
`|cosec x|=(5pi)/(4)-|(x)/(2)|`
Draw the graphs of `y = |cosec x|` and `y = (5pi)/(4)-|(x)/(2)|`

From the graph, there are 8 solutions.
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