Given sin theta and angle θ is in Quadrant III, what is the exact value of cosθ in simplest form? Simplify all radicals if needed.

Unfortunately, you have to give the exact value of sin theta in order to solve this problem. Therefore, this problem, at least for the meantime, is unsolvable. Please rectify this! Thank you!

answer:

given the linear inequality :

add 2y to both sides we get;

simplify:

add 12 to both sides of an equation;

simplify:

divide both sides by 2 we get;

or

the related equation for the inequality equation [1] is;

y-intercepts defined as the graph crosses the y-axis.

substitute x =0 in [2] to solve for y;

y = 6

x-intercepts defined as the graph crosses the x-axis.

substitute value y = 0 to solve for x;

subtract 6 from both sides we get

multiply both sides by 2 we get;

or

x = -12

now, plot these point (0, 6) and (-12, 0) on graph as shown below and shade the graph below the solid line.