Question

if 3 tan theta is equals to 4 evaluate 3 sin theta + 2 cos theta by 3 sin theta minus 2 cos theta

Answer 1

Hope this will help you!!!

Answer 2

my friend ,
tanФ=4/3=opposite side / adjacent side

therefore ,by applying pythagorean theorem we get ,
(4)^2+(3)^2=(hypotenuse )^2
hypotenuse =5cm 

therefore ,
by finding the hypotenuse we can say that
sin∅=4/5=opposite side /hypotenuse 
cos∅=3/5=adjacent side /hypotenuse 

3sin∅+2 cos ∅=3(4/5)+2(3/5)=12/5+6/5=18/5

3sin∅-2cos∅=12/5-6/5=6/5

therefore 
=(18/5)/6/5
=18/6=3