If tan theta = 3//4 and theta acute, the...

If `tan theta = 3//4` and `theta` acute, then `cosec theta` is equal to

A

`(4)/(5)`

B

`(5)/(3)`

C

`(5)/(4)`

D

`(4)/(3)`

Verified by Experts

The correct Answer is:

B

`tantheta=(3)/(4)=(p)/(b) implies h=sqrt(4^(2)+3^(2))=5`
`therefore cosectheta=(h)/(p)=(5)/(3)`

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