The angle 01 is located in Quadrant III, and
13
cos(01) =
.
30
What is the value of sin(01)?
Express your answer exactly.

If cos(2x) = tan^2(y), show that cos(2y) = tan^2(x).

If x-1 and x+3 are the factors of x3+10x2+ax+b find a and b

Aspacecraft can attain a stable orbit 300 kilometers above earth if it reaches a velocity of 7.7 kilometers per second. the formula for a rocket's maximum velocity v in kilometers per second is vequalsminus0.0098tplusc ln upper r, where t is the firing time in seconds, c is the velocity of the exhaust in kilometers per second, and r is the ratio of the mass of the rocket filled with fuel to the mass of the rocket without fuel. find the velocity of a spacecraft whose booster rocket has a mass ratio of 20, an exhaust velocity of 2.1 km/s, and a firing time of 15 s. can the spacecraft achieve a stable orbit 300 km above earth?