Let (-3, 8) be a point on the terminal side of Theta. Find the exact values of sin theta , csc theta, and cot theta.

When we have a given point (x, y) in rectangular coordinates, the angle between the x-axis and a line that connects the origin with that point is given by:

Tan(θ) = y/x

In this case the point is (-3, 8)

Then we have:

Tan(θ) = -8/3

θ = Atg(-8/3) = -69.4°

Now we just need to input this on:

Sin(-69.4°) = -0.94

Csc(-69.4°) = 1/Sin(-69.4°) = 1/-0.94 = -1.1

Cot(-69.4°) = 1/tan(-69.4°) = -3/8 = -0.38

the central idea is that:

individuals should refuse to cooperate with institutions they believe unjust.

thoreau felt  that governments were more often agents of corruption than justice, even democracies, and that just because the majority feels a certain way does not make it just or correct in absolute terms. he uses the fact that slavery exists in our democracy to support this idea.

he goes on to say that, as a result, people should live true to their own internal laws regarding right and wrong, as a product of reflection and a moral life, rather than following every law that society imposes. 

step-by-step explanation:

the discriminant is 64 + 4*1*12 = 112

this is prime.

step-by-step explanation: