tan2x*cotx - 3 = 0
We know that: tan2x = sin2x/cos2x and cotx = cosx/sinx
==> sin2x/cos2x *cosx/sinx = 3
Now we know that sin2x = 2sinx*cosx
==> 2sinxcosx/cos2x * cosx/sinx = 3
Reduce sinx:
==> 2cos^2 x/ cos2x = 3
Now we know that cos2x = 2cos^2 x-1
==> 2cos^2 x/(2cos^2 x -1) = 3
==> 2cos^2 x = 3(2cos^2 x -1)
==> 2cos^2 x = 6cos^2 x - 3
==> -4cos^2 x= -3
==> 4cos^2 x = 3
==> cos^2 x = 3/4
==> cosx = +-sqrt3/ 2
<span>==> x = pi/6, 5pi/6, 7pi/6, and 11pi/6</span>
you can make it into an improper fraction if you want but there is no need for this problem
steps
1) 10 3/4- 5 1/4
10-5=5
3/4-1/4=2/4 or 1/2
answer:5 1/2 or 5 2/4
(it is better simplified)
Answer: 360ft
Explanation:
x = 18/1/20
x = 18 x 20
x = 360ft
Answer:
Good.
Step-by-step explanation:
Yes she got her money back. To be exact she made a profit of $6.84!
2.58+2.58=5.16 This is how much she has to make to make a profit.
0.75*16=12
She made $12 in total :]
