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If `5 tan theta =4, " write the value of " ((costheta- sintheta ))/((costheta+ sintheta)).`

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If `5 tan theta =4, " write the value of " ((costheta- sintheta ))/((costheta+ sintheta)).`
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Correct Answer - `(1)/(9)`
`((costheta-sintheta))/((costheta+sintheta ))=((1-tantheta))/((1+tantheta))" "["dividing num. denom. by cos"theta]`
`=((1-(4)/(5)))/((1+(4)/(5)))=(1)/(9) " "[because tantheta=(4)/(5)].`
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