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>
The intersection of the two red rays forms a set of vertical angle pairs. In such a pair, angles opposite one another have the same measure, so the angle opposite the one labeled 93 degrees also has measure 93 degrees.
The red ray on the right together with the black ray pointing directly to the right form a pair of supplementary angles, whose measures add up to 180 degrees. This means the angle adjacent to the one labeled 128 degrees has measure 180 - 128 degrees.
In any triangle, the interior angles' measures add up to 180 degrees. So we have
? + 93 + (180 - 128) = 180
? + 93 - 128 = 0
? = 128 - 93
? = 35
Answer:
Area is about 1520.53
Step-by-step explanation:
A = 
A ≈ 1520.53
The radius of the given circle is 2.84 units
Step-by-step explanation:
Step 1 :
Given
The perimeter of a quarter table is 17.85
We need to find the circle's radius.
Step 2 :
The circle's perimeter is given by the formula, 2 
r where r represents the circle's radius
So from this we have ,
2 r = 17.85
We can determine the radius by dividing the perimeter value by 2
= > r = 17.85 divided by 2 r
= 2.84 [ taking = 
]
Step 3 :
Answer :
The radius of the given circle is 2.84 units
Answer:
It should be 42.25 instead
Step-by-step explanation:
