Trigonometric Equations

%5Csin%209%20%5Ctheta%3D%5Csin%20%5Ctheta

%5CRightarrow%209%20%5Ctheta%3Dn%20%5Cpi%2B(-1)%5E%7Bn%7D%20%5Ctheta

n%3D2%20m

then

9%20%5Ctheta%3D2%20m%20%5Cpi%2B%5Ctheta

%5CRightarrow%20%5Ctheta%3D%5Cfrac%7Bm%20%5Cpi%7D%7B4%7D

n%3D2%20m%2B1

then

9%20%5Ctheta%3D(2%20m%2B1)%20%5Cpi%3D-%5Ctheta

%5CRightarrow%20%5Ctheta%3D(2%20m%2B1)%20%5Cfrac%7B%5Cpi%7D%7B10%7D

The values belonging to

%5B0%2C%20%5Cpi%5D

are

%5Ctheta%3D0%2C%20%5Cfrac%7B%5Cpi%7D%7B10%7D%2C%20%5Cfrac%7B%5Cpi%7D%7B4%7D%2C%20%5Cfrac%7B3%20%5Cpi%7D%7B10%7D%2C%20%5Cfrac%7B%5Cpi%7D%7B2%7D%2C%20%5Cfrac%7B7%20%5Cpi%7D%7B10%7D%2C%20%5Cfrac%7B3%20%5Cpi%7D%7B4%7D%2C%20%5Cfrac%7B9%20%5Cpi%7D%7B10%7D

%5Cpi%2C%20%5Cfrac%7B11%20%5Cpi%7D%7B10%7D%2C%20%5Cfrac%7B5%20%5Cpi%7D%7B4%7D%2C%20%5Cfrac%7B13%20%5Cpi%7D%7B10%7D%2C%20%5Cfrac%7B3%20%5Cpi%7D%7B2%7D%2C%20%5Cfrac%7B17%20%5Cpi%7D%7B10%7D%2C%20%5Cfrac%7B7%20%5Cpi%7D%7B4%7D%2C%20%5Cfrac%7B19%20%5Cpi%7D%7B10%7D%2C%202%20%5Cpi

Chapter Questions
3 MCQs