# Some inverse and law of sine problems

• Nov 24th 2009, 05:56 PM
Thatoneguy12345
Some inverse and law of sine problems
sin[2arccos-3/5] (Find exact values without calculator)

arccot[tan(-pi/6)]

Solve using the interval [0,2pi]
Cos(3x)=1/2

Find all solutions
sin^2x-cosx=x^2+2x

And lastly
A pilot is flying from Salt Lake City to Denver, a distance of 500miles. After 2 hours of flying at 140mph, she discovers that she has been flying 12 degrees off course. How far is she from Denver?

Sorry for the amount of problems! Reviewing for final and these questions are confusing!
• Nov 24th 2009, 06:02 PM
Jameson
Quote:

Originally Posted by Thatoneguy12345
sin[2arccos-3/5] (Find exact values without calculator)

arccot[tan(-pi/6)]

Solve using the interval [0,2pi]
Cos(3x)=1/2

Find all solutions
sin^2x-cosx=x^2+2x

And lastly
A pilot is flying from Salt Lake City to Denver, a distance of 500miles. After 2 hours of flying at 140mph, she discovers that she has been flying 12 degrees off course. How far is she from Denver?

Sorry for the amount of problems! Reviewing for final and these questions are confusing!