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If 3tanA+4=0, then the value of 2cotA-5c...

If `3tanA+4=0`, then the value of `2cotA-5cosA+sinA` is equal to

A

`23/10ifpi/2ltAltpi`

B

`23/10if(3pi)/2ltAlt2pi`

C

`(-53)/10ifpi/2ltAltpi`

D

`-53/10if(3pi)/2ltAlt2pi`

Text Solution

Verified by Experts

The correct Answer is:
A, D
We have `tanA=-3/4`
If A lies in `2^(nd)` quadrant, then
`sinA=4/5,cosA=(-3)/5,and cotA=(-3)/4`
If lies `2^(nd)` quadrant, then
`sinA=(-4)/5,cosA=(3)/5,and cotA=(-3)/4`
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