Sec(theta) = 1 / cos (theta) = hypotenuse / x -coordinate
hypotenuse = 1 (because it is the radius of the unit circle)
sec (theta) = 1 / (-3/5) = - 5/3
cot (theta) = 1 / tan(theta) = x-coordinate / y - coordinate
cot (theta) = -3/5 / y
y^2 + (-3/5)^2 = 1 => y^2 = 1 - 9/25 = 16/25 = y = +/- 4/5
Third quadrant => y = -4/5
=> cot (theta) = (-3/5) / (-4/5) = 3/4
Answer: First option is correct.
Step-by-step explanation:
Since we have given that

Now, by factorising , we get

Now, we use the formula i.e.

By using this, we get ,

So,

The answer is B)
x2+2x−3=0
Factor left side of equation.
(x−1)(x+3)=0
Set factors equal to 0.
x−1=0 or x+3=0
x=1
or
x=−3
Answer:
x = -34.8
Step-by-step explanation:
<h2><u>solve the equation</u></h2>
2(x-3)
= 2x - 6
7(x + 24 )
= 7x + 168
put the equation together
2x - 6 = 7x + 168
now make x subject of formula:
2x - 7x = 168 +6
-5x = 174
x = 174/ -5
<h3><u>x = -34.8 </u></h3>