Use the figure below to answer the following questions a App

Use the figure below to answer the following questions. a. Approximate the measure ofthe indicated angle, n, measured in radians. radians Preview b. Using the figure above, and without using a calculator, approximate the value of2sin(n). Preview ximate the value ofsin(n), c. Using your answer from part (b) appro Preview d Using the figure above, and without using a approximate the value of2cos(n). calculator,

Solution

The coordinate of the point is approximately (-0.4,-2)

And tan theta= y/x

tan theta= (-2/-.4)

theta=tan^-1(-2/-.4) = 258.69 degree

a. We have to convert this angle in radian

258.69*pi/180= 4.513 radian

b. 2 sin n

In the given figure, opposite= 2,adjacent=.4

Therefore hypotenuse= sqrt(2²+.4²) = sqrt 4.16

sin n=opposite/hypotenuse =- 2/sqrt4.16

2 sin n = -4/sqrt4.16 =-1.9612

c. sin n

sin n= (2 sin n)/2= -.9806

d. 2 cos n

cos n= adjacent/hypotenuse =- .4/sqrt(4.16)

2 cos n= -.8/sqrt4.16 = -.3922

e. cos n = (2cos n)/2 = - .1961