What is the general solution for sin(x)= 1/2 ,cos(x)=-(sqrt(3))/2 ?

The general solution for sin(x)= 1/2 ,cos(x)=-(sqrt(3))/2 is No Solution for x\in\mathbb{R}

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sin(x)= 1/2 ,cos(x)=-(sqrt(3))/2

sin (x) = \frac{1}{2}, cos (x) = - \frac{3}{2}

No Solution for x \in R

Solution steps

sin (x) = \frac{1}{2}, cos (x) = - \frac{3}{2}

General solutions for

sin (x) = \frac{1}{2}

x = \frac{π}{6} + 2 πn, x = \frac{5 π}{6} + 2 πn

Solutions for the range

cos (x) = - \frac{3}{2}

No Solution for x \in R

cos (x) = \frac{2 5}{5}

csc (x) = cot (x) - 1

2 cos (θ) + 1 = sec (θ)

tan (θ) = - \frac{2}{2}

tan (θ) = - \frac{2}{3}

What is the general solution for sin(x)= 1/2 ,cos(x)=-(sqrt(3))/2 ?
The general solution for sin(x)= 1/2 ,cos(x)=-(sqrt(3))/2 is No Solution for x\in\mathbb{R}