Question

If 4 tanβ = 3, then `(4sinbeta-3cosbeta)/(4sinbeta+3cosbeta)=` ______.

विकल्प

• 0

• `1/3`

• `2/3`

• `3/4`

Answer 1

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`