Question

if 3 tan Q= 4 find value of 4 cosQ -SinQ​

Answer 1

Answer:

$\frac{8cosQ}{3}$ is the answer :)

Step-by-step explanation:

3 tan Q= 4 ---------------(this is the given from question)

$=>3\frac{sinQ}{cosQ}=4$ ----------------(∵$tanQ=\frac{sinQ}{cosQ}$ )

$=>3sinQ= 4cosQ\\=>sinQ = \frac{4cosQ}{3}$

now, apply the sinQ vlaue in 4 cosQ -SinQ

then,

4 cosQ -SinQ --------------------(This is the question)

$= 4cosQ - \frac{4cosQ}{3}$

$=\frac{ 12cosQ - 4cosQ}{3}$ -----------------( LCM)

$=\frac{ 8cosQ}{3}$

$\frac{8cosQ}{3}$ is the answer :)

PLS MRK AS BRAINLIEST PLSSSSSSSSSSS.............. :)

pls mrk as brainliest plsss :) coz i have written this all down for you to understand :)