Equations in the Form y = ax^2
1 answer:
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First, factor the left side:
This can be simplified using
where the csc term is x and the cot term is y:
One of our Pythagorean Identities states that:
So the left side is now:
Now we can use the same Pythagorean Identity to change the right side to:
All we did was express 1 in terms of csc and cot.
Distribute the negative:
Combine like terms:
Now the left and right sides are the same.
This can be simplified using
One of our Pythagorean Identities states that:
So the left side is now:
Now we can use the same Pythagorean Identity to change the right side to:
All we did was express 1 in terms of csc and cot.
Distribute the negative:
Combine like terms:
Now the left and right sides are the same.
These given angles are vertically opposite which means their measure is equal. Let's find x with the help of the equation..~
Move the constant to the right-hand side and change its sign
Add the numbers
Divide both sides of equation by 3