Question

if tita lies in the first quadrant and 5tantita=4 then 5sintita-3costita/sintita+2costita=​

Answer 1

The answer is (4-3)/(4/5+2)
=1/(14/5)
=5/14

Answer 2

5tanθ=4

⇒tanθ=54

⇒sinθ+2cosθ5sinθ−3cosθ=cosθ(tanθ+2)cosθ(5tanθ−3)

                                    =54+24−3

                                    =5141

                                    =145

Hence, the answer is 145.