Fundamental Trigonometric Identities Essential Questions How do we use fundamental trigonometric identities to simplify and rewrite expressions and to verify other identities? Holt McDougal Algebra 2 Holt Algebra 2

You can use the fundamental trigonometric identities to simplify expressions. If you get stuck, try converting all of the trigonometric functions to sine and cosine functions. Helpful Hint

Using Trigonometric Identities to Rewrite Trigonometric Expressions Rewrite each expression in terms of sin θ and cos θ. Then simplify. 1. sec x (1 – sin2x)

Using Trigonometric Identities to Rewrite Trigonometric Expressions Rewrite each expression in terms of sin θ and cos θ. Then simplify. 2. sin x cos x (tan x + cot x) Distributive property

Using Trigonometric Identities to Rewrite Trigonometric Expressions Rewrite each expression in terms of sin θ and cos θ. Then simplify. Factor the numerator

Using Trigonometric Identities to Rewrite Trigonometric Expressions Rewrite each expression in terms of sin θ and cos θ. Then simplify.

Using Trigonometric Identities to Rewrite Trigonometric Expressions Rewrite each expression in terms of sin θ and cos θ. Then simplify.

Using Trigonometric Identities to Rewrite Trigonometric Expressions Rewrite each expression in terms of sin θ and cos θ. Then simplify.

Lesson 11.3 Practice B