Adding two rational trigonometric terms learn how

The video tutorial explains how to add fractions by finding a common denominator and applies this concept to trigonometric expressions. It demonstrates the process of simplifying trigonometric expressions using algebraic techniques and trigonometric identities, ultimately arriving at a simplified expression. The tutorial emphasizes understanding through relatable examples and encourages checking work for accuracy.

What is the first step in adding fractions with different denominators?

• Multiply the numerators together

• Find the least common multiple of the denominators

• Subtract the smaller denominator from the larger one

• Add the numerators directly

When finding a common denominator for trigonometric expressions, what should you multiply each term by?

• The numerator of the other term

• The entire expression

• The denominator of the other term

• The reciprocal of the expression

What identity is used to simplify the expression involving cosine squared and sine squared?

• Double angle identity

• Sum of angles identity

• Pythagorean identity

• Reciprocal identity

What is the result of simplifying the expression 2 * (1 + sin(X)) / (cos(X) * (1 + sin(X)))?

• 2 * sin(X)

• 2 * cos(X)

• 2 * sec(X)

• 2 * tan(X)

What is the final simplified form of the expression given in the tutorial?

• 2 * sec(X)

• 2 * sin(X)

• 2 * tan(X)

• 2 * cos(X)