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1/ (si n1 0^(@)) -(sqrt(3))/ (cos1 0^(@)...

`1/ (si n1 0^(@)) -(sqrt(3))/ (cos1 0^(@))=`

A

0

B

1

C

2

D

4

Text Solution

Verified by Experts

The correct Answer is:
D
`(1)/(sin10^(@))-(sqrt(3))/(cos10^(@))=(cos10^(@)-sqrt(3)sin10^(@))/(sin10^(@)cos10^(@))`
`=(2xx2[(1)/(2)cos10^(@)-(sqrt(3))/(2)sin10^(@@)])/(2sin10^(@)cos10^(@))`
`=(4(cos60^(@)cos10^(@)-sin60^(@)sin10^(@)))/(sin20^(@))`
`=(4.cos(60^(@)+10^(@)))/(sin20^(@))=4.(cos70^(@))/(sin20^(@))=4(sin20^(@))/(sin20^(@))=4`
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NDA PREVIOUS YEARS-TRIGONOMETRY - RATIO & IDENTITY , TRIGONOMETRIC EQUATIONS-MCQ
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