The measure of an angle in standard position is given. Find two positive angles and two negative angles that are coterminal with the given angle. (Enter your answers as a comma-separated list.)

The answer is below

Step-by-step explanation:

Let us assume the angle is -π/4.

Coterminal angles are angles that have the same initial side and terminal side. They are angles in standard position (angles with the initial side on the positive x -axis) that have a common terminal side.

Positive coterminal angles are gotten by adding 360° if the angle is in degrees or 2π for angles in radian while negative coterminal angles are gotten by subtracting 360° if the angle is in degrees or 2π for angles in radian.

Positive coterminal angle = -π/4 + 2π = 7π/4, 7π/4 + 2π = 15π/4

Positive coterminal angle = 7π/4, 15π/4

Negative coterminal angle = -π/4 - 2π = -9π/4, -9π/4 - 2π = -17π/4

Negative coterminal angle = -9π/4, -17π/4

51-50

step-by-step explanation:

starting with:    

5 + x - 12 = 2x - 7   

5 + x - 12 - x = 2x - 7 - x (subtract x from both sides)   

5 - 12 = x - 7 (combine and cancel x's from both sides)   

5 - 12 + 7 = x - 7 + 7 (add 7 to both sides)   

0 = x (add numbers together on both sides)       

so in order for the equation to be true, x must be 0.   

trying x = -0.5   

5 + x - 12 = 2x - 7 (original equation)   

5 + -0.5 - 12 = 2(-0.5) - 7 (plug in value of x)   

5 + -0.5 - 12 = -1 - 7 (did multiplication)   

-7.5 = -8 (did addition on both sides)       

since -7.5 is obviously not equal to -8, the value of -0.5 for x is wrong.   

trying x = 0   

5 + x - 12 = 2x - 7 (original equation)   

5 + 0 - 12 = 2(0) - 7 (plug in value of x)   

5 + 0 - 12 = 0 - 7 (did multiplication)   

-7 = -7 (did addition on both sides)       

since -7 equals -7, that demonstrates that the value of 0 for x is correct.   

trying x = 1   

5 + x - 12 = 2x - 7 (original equation)   

5 + 1 - 12 = 2(1) - 7 (plug in value of x)   

5 + 1 - 12 = 2 - 7 (did multiplication)   

-6 = -5 (did addition on both sides)       

since -6 is obviously not equal to -5, the value of 1 for x is wrong.