State the domain and range for y=cos(-2x+180)+3

Domain: All real numbers

Range:

Step-by-step explanation:

The given function is

The cosine function is continuous everywhere so the domain is all real numbers.

The range of the parent function

is .

The given function has been shifted up 3 units.

The range is

.

.

See graph

9

step-by-step explanation:

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