- #1
Jacobpm64
- 239
- 0
Find a solution to the equation if possible.
Give the answer in exact form and in decimal form.
1 = 8cos(2x + 1) - 3
1 = 8tan(2x + 1) - 3
I don't know how to do this one.. but I know how to do the simpler ones like..
2 = 5sin(3x)
2/5 = sin(3x)
(sin-1(2/5)) / 3 = 0.137172
Those are easier... but the one I've said before...
1 = 8cos(2x + 1) - 3 is tough..
1/8 = cos(2x + 1) - 3
3.125 = cos(2x + 1)
{[cos-1(3.125)] / 2} - 1
Is this correct thus far, and if it is... cos-1(3.125) is nonreal. So I guess there are no solutions...
How about this one?
1 = 8tan(2x + 1) - 3
1/8 = tan(2x + 1) - 3
3.125 = tan(2x + 1)
{[tan-1(3.125)] / 2} - 1 = -0.369453
But, the right side doesn't evaluate to 1 when you plug -0.369453 in for x
I don't know where to go with these.
Give the answer in exact form and in decimal form.
1 = 8cos(2x + 1) - 3
1 = 8tan(2x + 1) - 3
I don't know how to do this one.. but I know how to do the simpler ones like..
2 = 5sin(3x)
2/5 = sin(3x)
(sin-1(2/5)) / 3 = 0.137172
Those are easier... but the one I've said before...
1 = 8cos(2x + 1) - 3 is tough..
1/8 = cos(2x + 1) - 3
3.125 = cos(2x + 1)
{[cos-1(3.125)] / 2} - 1
Is this correct thus far, and if it is... cos-1(3.125) is nonreal. So I guess there are no solutions...
How about this one?
1 = 8tan(2x + 1) - 3
1/8 = tan(2x + 1) - 3
3.125 = tan(2x + 1)
{[tan-1(3.125)] / 2} - 1 = -0.369453
But, the right side doesn't evaluate to 1 when you plug -0.369453 in for x
I don't know where to go with these.