The solutions appear to be
{π/2, 2π/3, 4π/3}.
_____
Replacing sin(2x) with 2sin(x)cos(x), you have
2sin(x)cos(x) +sin(x) -2cos(x) -1 = 0
sin(x)(2cos(x) +1) -(2cos(x) +1) = 0 . . . . factor by grouping
(sin(x) -1)(2cos(x) +1) = 0
This has solutions
sin(x) = 1
x = π/2and
2cos(x) = -1
cos(x) = -1/2
x = {2π/3, 4π/3}
Answer:
There are 3 different forms of the answer.
Step-by-step explanation:
1. 44/21
2. 2.10
3. 2 2/21
<span>square root of 2562634
Simply use your calculator: √</span><span>2562634
≈ 1600.82
</span>
Answer: 0.29
Step-by-step explanation:
OQ is the side opposite angle P, QP is the side opposite angle O, and PO is the side opposite angle Q.
This means that tangent = opposite/adjacent, the tangent of angle O is the opposite side, QP, over the length of the adjacent side, OQ. (It cannot be PO since that's the hypotenuse)
This means that the tangent of O is 7/24, which is about 0.29