3 Consider de diarra Shown a Find the arc leng 70 CA b Find

3· Consider de diarra Shown . (a) Find the arc leng 70 CA b Find the area A . Consider the dia9ram shown Find the exacf value a the six trigonometric ean c tians angle 6

Solution

3) r = 4 cm

     Angle = 70 degree = 1.222 radian

a) Arc length = S = angle*radius = 1.222*4 = 4.888 cm

b) Area = pi*r^2*(Angle/360) = pi*4^2*70/360 = 9.77 cm^2

4) H = 9,   B = 62,     P = sqrt[H^2 – B^2] = 3

Now

Sin = P/H = 3/9 = 1/3

Cos = B/H = 62/9 = (22)/3

Tan = B/P = (62)/3 = 22

Csc = 1/sin = 3

Sec = 1/cos = 3/(22)

Cot = 1/tan = 1/(22)