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,

This website will show the principles of solving Math problems in Arithmetic, Algebra, Plane Geometry, Solid Geometry, Analytic Geometry, Trigonometry, Differential Calculus, Integral Calculus, Statistics, Differential Equations, Physics, Mechanics, Strength of Materials, and Chemical Engineering Math that we are using anywhere in everyday life. This website is also about the derivation of common formulas and equations. (Founded on September 28, 2012 in Newark, California, USA)
Thursday, November 21, 2013
Wednesday, November 20, 2013
Proving Trigonometric Identities, 9
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,
"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,
Tuesday, November 19, 2013
Simplifying Algebraic Fractions, 10
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
"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
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