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Question
If 4 tanβ = 3, then `(4sinbeta-3cosbeta)/(4sinbeta+3cosbeta)=` ______.
Options
0
`1/3`
`2/3`
`3/4`
MCQ
Fill in the Blanks
Solution
If 4 tanβ = 3, then `(4sinbeta-3cosbeta)/(4sinbeta+3cosbeta)=` ______.
Explanation:-
Dividing both numerator and denominator by cosβ,
`(4sinbeta-3cosbeta)/(4sinbeta+3cosbeta)=(4tanbeta-3)/(4tanbeta+3)=(3-3)/(3+3)=0`
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