s there someone who can help with this.  I have been working on it, but I need some help.

 

 

MATH 3321 Homework 1 Solve the following problems. Show your steps. Partial credit may be given in the
case your nal answer is wrong if you show your steps. You may use a calculator.
(1) (10 pts) Find the following values:
(i) sin 30â—¦
(ii) cos 120â—¦
(2) (10 pts) Convert the following angles from degrees to radians:
(i) 60â—¦
(ii) 270â—¦
(3) (20 pts) Convert the following angles from radians to degrees:
(i) 2Ï€
3
(ii) π6
(iii) − 5π
4
(iv) 1
(4) (40 pts) A regular polygon (with all equal sides) of n sides inscribes a circle
or radius r. Find out the perimeter and the area of the polygon when r = 1
and
(i) (5 pts) n = 3
(ii) (5 pts) n = 4
(iii) (5 pts) n = 5
(iv) (5 pts) n = 6
(v) (5 pts) n = 8
(vi) (5 pts) n = 10
(vi) (10 pts) Find the formula for the perimeter and the area, for the general
case in term of n and radius r. (5) (10 pts) Let y = 3 sin(5t).
(i) What is the period of this function?
(ii) What is the frequency of this function
(6) (10 pts) Let α < π2 and β < π2 be two angles and we know
sin α = 0.2 and sin β = 0.3.
Find
sin(α + β). 1

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• 1492593419-math3321_hw1.pdf