Can anyone help me with these pre-calc problems?
1) Find sin-1(sin(8pi/11))
2) How man solutions of the equation sin(x) tan(x) = sin(x) are in the interval [0, 2pi)?
3) For x > 0, evaluate tan[arcsin(6/x)]
4) At 2:00pm, a ship leaves port and travels N20E at a rate oof 20 mph. At 2:30pm, another ship leaves the same port and travels S65W at 30 mph. How far apart are the 2 ships at 4:30?
I am using c2 = a2 + b2 – 2ab * cos(gamma) which is = (50)2 + (60)2 - 2(50)(60) cos(125), which is approximately 37mi., which I don’t believe is the right answer.
5) Find the solutions of the eqn. 3cosx = 2sin2 x that are in the interval [0, 2pi).
Thank you SO much if anyone can help with any of these.
1) Find sin-1(sin(8pi/11))
2) How man solutions of the equation sin(x) tan(x) = sin(x) are in the interval [0, 2pi)?
3) For x > 0, evaluate tan[arcsin(6/x)]
4) At 2:00pm, a ship leaves port and travels N20E at a rate oof 20 mph. At 2:30pm, another ship leaves the same port and travels S65W at 30 mph. How far apart are the 2 ships at 4:30?
I am using c2 = a2 + b2 – 2ab * cos(gamma) which is = (50)2 + (60)2 - 2(50)(60) cos(125), which is approximately 37mi., which I don’t believe is the right answer.
5) Find the solutions of the eqn. 3cosx = 2sin2 x that are in the interval [0, 2pi).
Thank you SO much if anyone can help with any of these.