The point (4, –3) is on the terminal side of an angle in standard position. Determine the value of r, and the exact value of sin, cos, and tan for this angle.

The answer to your question is below

Step-by-step explanation:

Data

A (4 , -3)

r = ?

sin = ?

cos = ?

tan = ?

Process

1.- Plot the point

This point is in the fourth quadrangle

2.- Calculate r

We have the Opposite side and the Adjacent side

       tan Ф = -3/4

       tan⁻¹ Ф = Ф = 323.1

        Ф = 323.1°

3.- sinФ =

Calculate the hypotenuse

        c² = 4² + (-3)²

        c² = 16 + 9

        c² = 25

        c = 5

 sinФ = -3/5

cos Ф = 4/5

tan Ф = -3/4

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:

dc=6 square root of 3 and ac is 12 square root 3

c and d

step-by-step explanation:

square root of 3/2 = 18/c

cross multiply to get 18*2=√3*c

36/√3 * √3/√3 = c

c= 36*√3/3

c=12√3