Question

5 cos theta =3 , 5 cos theta -3 sin theta /4 sin theta + 3 cos theta =

Answer 1

Answer:

$5cos(θ) =3 \\cos(θ) = \frac{3}{5} \\5cos(θ) - \frac{3sin(θ)}{4sin(θ)} + 3cos(θ) \\ = 5cos(θ) - \frac{3}{4} + 3cos(θ) \\ = 5( \frac{3}{5} ) - \frac{3}{4} + 3( \frac{3}{5} ) \\ = 3 - \frac{3}{4} + \frac{9}{5} \\ = 3 - \frac{15 + 36}{20} \\ = 3 - \frac{51}{20} \\ = \frac{60 - 51}{20} \\ = \frac{9}{20}$