Question

cos^2 x + 5sinx.cosx=3,
then, tan x =?

Answer 1

Answer:cos^2x + 5sin(90-x)cosx = 3

cos^2x + 5cosx.cosx = 3

cos^2x + 5cos^2x = 3

6cos^2x = 3

cos^2x = 3/6

cos^2x = 1/2

cosx = √1/2

cosx = 1/√2

x = 30°