SOLUTION: Use given info to find the exact value of each of the following Sin 2theta Cos2theta Tan 2 theta Cot theta =12, theta lies in quadrant 3

Algebra ->  Trigonometry-basics -> SOLUTION: Use given info to find the exact value of each of the following Sin 2theta Cos2theta Tan 2 theta Cot theta =12, theta lies in quadrant 3      Log On


   

Question 1089362: Use given info to find the exact value of each of the following
Sin 2theta
Cos2theta
Tan 2 theta

Cot theta =12, theta lies in quadrant 3
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!















Note: Ordinarily I would rationalize my denominators, but in this case, it will be convenient to leave the radical in the denominator as it will simplify the arithmetic later.



Hence



Then since



it follows that



But



Hence



Then use the double-angle formulas and the fact that







Just plug in the values and do the indicated arithmetic.

But
John

My calculator said it, I believe it, that settles it