H- Flashcard Identities (Basic & Sum/Diff)

Front

What is the identity for sin(x)(cot(x) + tan(x))?

Back

sec(x)

Front

What is the most simplified form of csc(x)tan(x)?

Back

sec(x)

Front

When would you need to use the conjugate in trigonometric simplifications?

Back

When dealing with expressions that involve differences of squares or to rationalize denominators.

Front

What is the simplified form of (cos^2(x) + sin^2(x)) / sec(x)?

Back

cos(x)

Front

What is the result of simplifying (csc(α) - 1)(csc(α) + 1)?

Back

cot^2(α)

Front

What is the Pythagorean identity involving sin and cos?

Back

sin^2(x) + cos^2(x) = 1

Front

What is the relationship between sec(x) and cos(x)?

Back

sec(x) = 1/cos(x)

Front

What is the relationship between csc(x) and sin(x)?

Back

csc(x) = 1/sin(x)

Front

What is the definition of cotangent in terms of sine and cosine?

Back

cot(x) = cos(x)/sin(x)

Front

What is the formula for the tangent of a sum of angles?

Back

tan(A + B) = (tan(A) + tan(B)) / (1 - tan(A)tan(B))