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The total number of solution of sin{x}=c...

The total number of solution of `sin{x}=cos{x}` (where `{}` denotes the fractional part) in `[0,2pi]` is equal to 5 (b) 6 (c) 8 (d) none of these

A

5

B

6

C

8

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
B
`sin {x}=cos {x}`
`tan {x}=1`
`tan (pi//4)=1 lt tan 1`
Graphs of `y=tan {x}` and `y=1` meet exactly six times in `[0, 2pi]`.
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