Pc Unit 4 How to subtract two rational trigonometric expressions

The video tutorial covers solving a mathematical problem by identifying the least common denominator (LCD) and using trigonometric identities for simplification. The instructor explains the process of multiplying by sine and cosine, applying Pythagorean identities, and simplifying expressions to reach the final result. The concept of reciprocals and common denominators is also discussed, with a focus on understanding the relationships between trigonometric functions.

What is the Least Common Denominator (LCD) identified in the trigonometric expression discussed?

• sine of X times cosine of X

• cosine of X times tangent of X

• sine of X times tangent of X

• cosine of X times secant of X

Which Pythagorean identity is used to simplify the expression in the video?

• sine of X plus cosine of X equals 1

• 1 plus cotangent squared of X equals cosecant squared of X

• tangent squared of X plus 1 equals secant squared of X

• sine squared of X plus cosine squared of X equals 1

How is cosine squared of X divided by cosine of X simplified in the video?

• sine of X

• secant of X

• tangent of X

• cotangent of X

What is the result of multiplying a trigonometric function by its reciprocal?

• Zero

• The reciprocal function

• One

• The original function

What is the common denominator kept the same during the simplification process?

• sine of X

• cosine of X

• sine of X times cosine of X

• tangent of X