Category: Trigonometry
"Published in Suisun City, California, USA"
Prove that
Solution:
Consider the given equation above
In proving the trigonometric identities, we have to choose the more complicated part which is the left side of the equation. We have to use the principles of simplifying trigonometric functions as much as we can until we get the same equation as the right side of the equation. Let's rewrite the rational and reciprocal functions into its equivalent function as follows
Therefore,
Category: Algebra
"Published in Suisun City, California, USA"
Simplify
Solution:
Consider the given equation above
The numerator has no common factor but we can group the first three terms as follows
The grouped terms is a perfect trinomial square. We can rewrite it in terms of square of a binomial as follows
Factor the numerator by the difference of two squares, we have
Remove the common factor at the denominator, we have
The
Greatest Common Factor (GCF) is (x + y + 2). Cross out their GCF and
simplify into lowest term. Therefore, the final answer is
Category: Algebra
"Published in Suisun City, California, USA"
Simplify
Solution:
Consider the given equation above
When you inspect the terms of the given equation, the numerator can be factored by the difference of two squares and the denominator can be factored by perfect trinomial square. Let's factor the numerator and denominator as follows
The
Greatest Common Factor (GCF) is (x + y + 3). Cross out their GCF and
simplify into lowest term. Therefore, the final answer is
