Use the unit circle to find the value of tan (-180°).
a. tan (-180°) =undefined
b. tan(-180°) = 0
c. tan (-180°) = -1
d. tan (-180°) - 1

In order to evaluate the tangent function "visually", you have to draw a vertical line tangent to the circle (i.e. the line x=1), and extend the radius until it meets that line.

Since the angle -180° makes you land on point (-1,0), if you extend the radius you'll meet the vertical line at point (1,0).

The tangent is the y-value of this point, and thus it's zero.

hope it you

step-by-step explanation:

sin(7pi/6 - pi/3)  

= sin(7pi/6 - 2pi/6)  

= sin(5pi/6)  

= sin(pi - pi/6)  

= sin(pi/6)  

= 1/2  

sin 7pi/6 - sin pi/3  

= sin (pi + pi/6) - sin pi/3  

= -sin pi/6 - sin pi/3  

= -1/2 - sqrt(3)/2  

= -(1+sqrt(3))2

set each factor equal to 0

4x-3 = 0

2x-1 = 0

solve for x.

4x-3=0

4x=3

x= 3/4

solve for x. 

2x-1= 0

2x= 1

x= 1/2

your answer should be 1/2 is less than or equal to x and 3/4 is greater than or equal to x