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Nitika Mohan Varma
Asked: 2022-11-08T03:04:05+05:30 In:

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`

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`
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1 Answer

  1. Correct Answer – 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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