Use the figure below to answer the following questions Appro

Use the figure below to answer the following questions. Approximate the measure of the indicated angle, n, measured in radians. Using the figure above, and without using a calculator, approximate the value of 2sin(n). Using your answer from part (b), approximate the value of sin(n). Using the figure above, and without using a calculator, approximate the value of 2cos(n). Using your answer from part (d), approximate the value of cos(n).

Solution

a) coordinate sof point n =( -1.6 ,-1.2)

n = tan^-1(1.2/1.6) = 0.64 + pi = 3.78 = 3.8 radians

b) hypotenuse = sqrt(1.6^2 +1.2^2) =

sin(n) = -1.2/2 = -0.6

2sin(n) = 2*-0.6 = -1.2

c) sin = -0.6

d) cos(n) = -1.6/2 = -0.8

2cos(n) = -1.6

e) cos(n) = -1.6/2 = -0.8