Precalc: Trigonometric Simplifications, Identities, and Solving

Simplify the expression: sec x / csc x

• tan x

• sin x

• cos x

• 1

Simplify the expression: cos²x csc x - csc x

• -sin x

• cos x

• 0

• 1

Verify the identity: sec²x - 1 = tan²x

• True

• False

• Sometimes true

• Never true

Verify the identity: 1/sin x = csc x

• True

• False

• Sometimes true

• Never true

What is the reciprocal identity for tan x?

• 1/cot x

• 1/sec x

• 1/sin x

• 1/csc x

Tags

CCSS.HSF.TF.C.8

What is the quotient identity for tan x?

• sin x/cos x

• cos x/sin x

• 1/sin x

• 1/cos x

Tags

CCSS.HSF.TF.C.8

Which of the following is a Pythagorean identity?

• All of the above

Tags

CCSS.HSF.TF.C.8

What is the reciprocal identity for csc x?

• 1/sin x

• 1/cos x

• 1/tan x

• 1/cot x

Tags

CCSS.HSF.TF.C.8