Question

if theta lies in first quadrant and 5 tan X = 4 , then 5sinx-3cosx/sinx+2cosx =​

Answer 1

Answer:

5/14

Step-by-step explanation:

5tanx=4  [given]

⇒tanx=4/5

Since, x is in 1st quadrant, tanx is positive.

To find:

(5sinx−3cosx)/(sinx+2cosx)

=cosx(5tanx−3)/cosx(tanx+2)                  [taking cosx common]

=(5tanx−3)/(tanx+2)

=(5∗(4/5)−3)/((4/5)+2) )

=5/14