> this is the sign for the larger absolute value
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>
Answer:
I don't think any are a correct graph of the function. But here are the ordered pairs. (1,0),(0,-2),(-1,-4)
Step-by-step explanation:
Take three values for x and plug them in for your y's. For instance x values of 1,0,-1. Plug each in to find the y value. 2(1) - 2 =y so (1,0)
12/11
Step-by-step explanation:
so all we have to do is flip 12/11
Step-by-step explanation:
1 Find common denominator (lower numbers)
2 add numerators(top numbers)
3 put the numerator over the denominator
ex 3/4+2/8
3x2=6,4x2=8
3/4=6/8
6/8+2/8=8/8 or 1
