Question

Solve the equation 2 cos x + 3 sin x = 0, for 0deg ≤ x ≤ 360deg

Answer 1

Answer:

2cos

2

x+3sinx=0

2−2sin

2

x+3sinx=0

2sin

2

x−3sinx−2=0

2sin

2

x−4sinx+sinx−2=0

(2sinx+1)(sinx−2)=0)

⟹sinx=−

2

1

⟹x=nπ+(−1)

n

(

6

−π