Basic Trigonometric Identities flashcards

Question 1

What is sin θ in terms of csc θ?

Accepted Answer

sin θ = 1 / csc θ

Question 2

What is csc θ in terms of sin θ?

Accepted Answer

csc θ = 1 / sin θ

Question 3

What is cos θ in terms of sec θ?

Accepted Answer

cos θ = 1 / sec θ

Question 4

What is sec θ in terms of cos θ?

Accepted Answer

sec θ = 1 / cos θ

Question 5

What is tan θ in terms of cot θ?

Accepted Answer

tan θ = 1 / cot θ

Question 6

What is cot θ in terms of tan θ?

Accepted Answer

cot θ = 1 / tan θ

Question 7

What is tan θ in terms of sin θ and cos θ?

Accepted Answer

tan θ = sin θ / cos θ

Question 8

What is cot θ in terms of cos θ and sin θ?

Accepted Answer

cot θ = cos θ / sin θ

Question 9

What is the first Pythagorean identity, with sine and cosine?

Accepted Answer

sin^2 θ + cos^2 θ = 1

Question 10

What Pythagorean identity connects 1, cot^2 θ and csc^2 θ?

Accepted Answer

1 + cot^2 θ = csc^2 θ

Question 11

What Pythagorean identity connects 1, tan^2 θ and sec^2 θ?

Accepted Answer

1 + tan^2 θ = sec^2 θ

Question 12

Which identity is the starting point from which the other two Pythagorean identities can be obtained?

Accepted Answer

sin^2 θ + cos^2 θ = 1

Question 13

What is sin(-θ)?

Accepted Answer

sin(-θ) = -sin θ

Question 14

What is csc(-θ)?

Accepted Answer

csc(-θ) = -csc θ

Question 15

What is tan(-θ)?

Accepted Answer

tan(-θ) = -tan θ

Question 16

What is cot(-θ)?

Accepted Answer

cot(-θ) = -cot θ

Question 17

What is cos(-θ)?

Accepted Answer

cos(-θ) = cos θ

Question 18

What is sec(-θ)?

Accepted Answer

sec(-θ) = sec θ

Question 19

Which two of the six trigonometric functions are even?

Accepted Answer

Cosine and secant.

Question 20

Which four of the six trigonometric functions are odd?

Accepted Answer

Sine, cosecant, tangent and cotangent.

Question 21

What condition defines an odd function f, and what symmetry does its graph have?

Accepted Answer

f(-x) = -f(x) for all x in the domain; the graph is symmetric about the origin.

Question 22

What condition defines an even function f, and what symmetry does its graph have?

Accepted Answer

f(-x) = f(x) for all x in the domain; the graph is symmetric about the y-axis.

Basic Trigonometric Identities flashcards

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Basic Trigonometric Identities flashcards

The cards

How this deck was checked

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