Answer: f(120°) = (√3) + 1/2
Step-by-step explanation:
i will solve it with notable relations, because using a calculator is cutting steps.
f(120°) = 2*sin(120°) + cos(120°)
=2*sin(90° + 30°) + cos(90° + 30°)
here we can use the relations
cos(a + b) = cos(a)*cos(b) - sin(a)*sin(b)
sin(a + b) = cos(a)*sin(b) + cos(b)*sin(a)
then we have
f(120°) = 2*( cos(90°)*sin(30°) + cos(30°)*sin(90°)) + cos(90°)*cos(30°) - sin(90°)*sin(30°)
and
cos(90°) = 0
sin(90°) = 1
cos(30°) = (√3)/2
sin(30°) = 1/2
We replace those values in the equation and get:
f(120°) = 2*( 0 + (√3)/2) + 0 + 1/2 = (√3) + 1/2
The ends of the graph will extend in opposite directions.
Hope this helped!
Answer:
$660
Step-by-step explanation:
You multiply 60 by 4 and get 240
Subtract 240 from 900
Answer:
h = 84
Step-by-step explanation:
3 = 87 - h
h + 3 = 87 (Add h to both sides)
h = 84 (Subtract 3 from both sides)
Answer:
opening a 300 page book to exactly page 143.
everyone in your school will get to school on time on the next school day.
Step-by-step explanation:
