1) Either illustrate the following equation is true , or determine the value of x for which equation is false :
a) cos(3x)+cos(2x)=cos(5x)
b) sin(3x)+sin(2x)= sin(5x)
c) sin(10)=2sin(5)cos(5)
2) Determine exact value of cos 525
3) if PI < theta < (3*PI)/(2) and cos(theta) =4/9 , determine cos(2*theta) , sin(2*theta) and tan ( 2*theta) exactly
4 ) Two airplanes are headed toward same airport. First plane is flying 136 mph and second plane is flying 125 mph. Angle between planes with it's vertex at airport is 48 degrees. If both planes reach airport in 1.5 hours, how many miles apart are they now?