Question

√3 sin theeta-cos theeta=2​

Answer 1

Step-by-step explanation:

Hope this will help you

Answer 2

Answer:

Θ = 120°

Step-by-step explanation:

√3 sinΘ-cosΘ = 2

►(√3 sinΘ)² = (2+cosΘ)² ​

► 3 sin²Θ =4 + cos²Θ + 4cosΘ

►3 - 3 cos²Θ =  4 + cos²Θ + 4cosΘ

►4cos²Θ + 4cosΘ +1 = 0

►4cos²Θ + 2cosΘ + 2cosΘ +1 = 0

►2cosΘ(2cosΘ+1)+1(cosΘ+1)= 0

►(2cosΘ+1)²=0

►cosΘ = -$\frac{1}{2}$

► Θ = cos⁻¹(-$\frac{1}{2}$) = 120°