Question

If 5tan=4,show dat 5sin-3cos/5sin+2cos=1/6

Answer 1

5tan=4
tan=4/5
sin/cos=4/5
i. e sin=4 and cos=5
now,
l. h. s=5sin-3cos/5sin+2cos
=5×4-3×5/5×4+2×5
=20-15/20+10
=5/30
=1/6 proved