Double angle (or half angle, depending how you look at it) identities:
So we have
Note that when taking the square root, we should take into account that that could yield two possible solutions, but we know 
and 
, so it's also the case that 
.
Also, the reason we have equality in the last step can be explained like so:
(not unlike the process used to complete the square)
Here you go hope it helps
Answer:
Step-by-step explanation:
The sides of a 45°-45°-90° triangle are in the ratio 1:1:√2
The side opposite the 90° angle is 12√2.
a = c = (12√2)/√2 = 12
The sides of a 30°-60°-90° are in the ratio 1:√3:2.
The length of the side opposite the 30° angle is 12 units.
d = length of side opposite 60° angle = 12√3 units
b = length of side opposite the 90° angle = 2×12 = 24 units
Answer:
A function is considered continuous when it has no drastic changes in the sequence known as discontinuities. If not continuous, a function is said to be discontinuous.
<span>x = {-4, 4}
</span>
<span>Divide each side by '5'.
x2 = 16
Simplifying
x2 = 16
Take the square root of each side:
x = {-4, 4}</span>
