Simplifying Trig Expressions

Front

What is the Pythagorean identity for sine and cosine?

Back

sin²x + cos²x = 1

Tags

CCSS.HSF.TF.C.8

Front

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

Back

tanx = sinx / cosx

Tags

CCSS.HSF.TF.A.2

Front

What is the relationship between tangent and cotangent?

Back

cotx = 1/tanx

Tags

CCSS.HSF.TF.A.2

Front

How do you simplify tan²x + 1?

Back

tan²x + 1 = sec²x

Front

What is the double angle formula for tangent?

Back

tan(2x) = 2tanx / (1 - tan²x)

Tags

CCSS.HSF.TF.C.9

Front

What is the value of sin(90°)?

Back

sin(90°) = 1

Tags

CCSS.HSF.TF.A.2

Front

What is the value of cos(0°)?

Back

cos(0°) = 1

Tags

CCSS.HSF.TF.A.2

Front

What is the value of tan(45°)?

Back

tan(45°) = 1

Tags

CCSS.HSG.SRT.C.7

Front

How do you simplify sin²x - cos²x?

Back

sin²x - cos²x = -cos(2x)

Front

What is the co-function identity for sine and cosine?

Back

sin(90° - x) = cosx