Answer:
87 cent?......................
Step-by-step explanation:
^^
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:
x = 6
Step-by-step explanation:
Assuming the equation is
-
= - 4
Multiply through by 6 ( the LCM of 3 and 2 ) to clear the fractions
2(2x + 3) - 9x = - 24
4x + 6 - 9x = - 24
- 5x + 6 = - 24 ( subtract 6 from both sides )
- 5x = - 30 ( divide both sides by - 5 )
x = 6
The required value of (g°h)(-3) is 5.
Step-by-step explanation:
Given,
g(x)= x-2 and h(x) = 4 - x
To find (g°h)(-3)
Now,
(g°h)(x) = g(h(x))
= g(4-x)
= (4-x)-2 = 2-x
So,
(g°h)(-3) = 2-(-3) = 5 [ putting x=-3]
State the domain of the relation R{(-3,3), (1,1), (0,2),(1,-4),(5,-1)} and then State the range of the relation R={(-3,3), (1,1)
harina [27]
The range is the Y value and the Domain is the X value.