Simplifying Trig Expressions

Front

What is the definition of tangent (tan) in terms of sine and cosine?

Back

tan(x) = sin(x) / cos(x)

Tags

CCSS.HSF.TF.A.2

Front

What is the Pythagorean identity involving sine and cosine?

Back

sin²(x) + cos²(x) = 1

Tags

CCSS.HSF.TF.C.8

Front

What is the definition of secant (sec) in terms of cosine?

Back

sec(x) = 1 / cos(x)

Tags

CCSS.HSF.TF.A.2

Front

What is the definition of cosecant (csc) in terms of sine?

Back

csc(x) = 1 / sin(x)

Tags

CCSS.HSF.TF.A.2

Front

What is the definition of cotangent (cot) in terms of tangent?

Back

cot(x) = 1 / tan(x) = cos(x) / sin(x)

Tags

CCSS.HSF.TF.A.2

Front

Simplify the expression: tan(x) * cos(x).

Back

sin(x)

Front

Simplify the expression: sin²(x) / cos²(x).

Back

tan²(x)

Front

What is the double angle formula for tangent?

Back

tan(2x) = 2tan(x) / (1 - tan²(x))

Tags

CCSS.HSF.TF.C.9

Front

What is the relationship between cotangent and tangent?

Back

cot(x) = 1 / tan(x)

Tags

CCSS.HSF.TF.A.2

Front

Simplify the expression: 1 + tan²(x).

Back

sec²(x)