Basic Trig Identities

Front

Rewrite tan(x) in terms of sin(x) and cos(x).

Back

tan(x) = \frac{sin(x)}{cos(x)}

Tags

CCSS.HSF.TF.C.8

Front

What is csc(x) equivalent to?

Back

csc(x) = \frac{1}{sin(x)}

Tags

CCSS.HSF.TF.A.4

Front

What is the definition of sin(x)?

Back

sin(x) = \frac{opp}{hyp} (opposite side over hypotenuse) in a right triangle.

Tags

CCSS.HSG.SRT.C.6

Front

What is the definition of cos(x)?

Back

cos(x) = \frac{adj}{hyp} (adjacent side over hypotenuse) in a right triangle.

Tags

CCSS.HSG.SRT.C.6

Front

What is the definition of tan(x)?

Back

tan(x) = \frac{opp}{adj} (opposite side over adjacent side) in a right triangle.

Tags

CCSS.HSG.SRT.C.6

Front

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

Back

sin^2(x) + cos^2(x) = 1 (Pythagorean identity).

Tags

CCSS.HSF.TF.C.8

Front

What is the reciprocal identity for sec(x)?

Back

sec(x) = \frac{1}{cos(x)}.

Tags

CCSS.HSF.TF.C.8

Front

What is the reciprocal identity for csc(x)?

Back

csc(x) = \frac{1}{sin(x)}.

Tags

CCSS.HSF.TF.C.8

Front

What is the reciprocal identity for cot(x)?

Back

cot(x) = \frac{1}{tan(x)}.

Tags

CCSS.HSF.TF.C.8

Front

Simplify: sin(x) * csc(x).

Back

1 (since sin(x) * \frac{1}{sin(x)} = 1).