Question

If 2 cot x = 1 what is the value of sin x - 3 cos x over 2 sin x + cos x

Answer 1

2 cot x = 1

cot x = ½

sin x - 3cos x - 2sinx - cosx =

-sin x - 4cosx =

(-1 - 4cot x)*sinx =

-3*sin x

1 + cot²x = 1/sin²x

sin² x = 1/(1+¼)

sin² x = 4/5

Sin x = 2

√5

Answer: -6

√5