I need help with a math problem
1 answer:
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For this case we have that by definition, the Greatest Common Factor or GFC of two or more numbers, is the largest number that divides them without leaving residue.
So, we have to:
We look for the factors of 18 and 36:
18: 1,2,3,6,9,18
36: 1, 2,3,4, 6,9,18 ...
It is observed that the GFC of both numbers is 18.
Then, the GFC of and
is:
18x
Answer:
18x
Step-by-step explanation:
First factor out the negative sign from the expression and reorder the terms
That's
<u>Using trigonometric </u><u>identities</u>
That's
<h3><u>Rewrite the expression</u>
That's
We have
<h3><u>Rewrite the second fraction</u>
That's
<h3>Since they have the same denominator we can write the fraction as
Using the identity
<h3><u>Rewrite the expression</u>
We have
<h3><u>Using the trigonometric identity</u>
<h3><u>Rewrite the expression</u>
That's
<h3>Which is
<h3><u>Using the trigonometric identity</u>
<h3>Rewrite the expression
That's
<h3><u>Simplify the expression using symmetry of trigonometric functions</u>
That's
<h3><u>Remove the parenthesis </u>
We have the final answer as
<h2>As proven
Hope this helps you