Master Simplifying trigonometric expressions using Basic identities

The video tutorial explains how to simplify trigonometric expressions by reducing them to a single trigonometric function or number. It emphasizes the importance of knowing trigonometric identities and converting expressions into sines and cosines. The tutorial covers various examples, including those involving fractions and Pythagorean identities, demonstrating techniques like using reciprocal identities and applying the distributive property. The video concludes with a summary of the methods used to achieve simplification.

What is the primary goal when simplifying trigonometric expressions?

• To expand them into multiple trigonometric functions

• To reduce them to a single trigonometric function or number

• To convert them into algebraic expressions

• To eliminate all trigonometric functions

Which trigonometric identity is used to simplify sine over cosine?

• Cotangent

• Cosecant

• Tangent

• Secant

When simplifying expressions with fractions, what technique is often used?

• Dividing by the reciprocal

• Multiplying by the reciprocal

• Adding the fractions

• Subtracting the fractions

What is the result of simplifying cosine over sine?

• Secant

• Cotangent

• Tangent

• Cosecant

Which identity is used to simplify expressions involving tangent squared plus one?

• Cotangent squared

• Secant squared

• Cosine squared

• Sine squared

How can you simplify an expression with a squared trigonometric function?

• By using the distributive property

• By applying Pythagorean identities

• By factoring out common terms

• By converting to radians

What is the simplified form of 1 minus sine squared of Theta?

• Tangent squared of Theta

• Secant squared of Theta

• Cosine squared of Theta

• Cotangent squared of Theta