Question 1

What is the fundamental identity of trigonometry?

Accepted Answer

sin²θ + cos²θ = 1

Answer

sinθ = cosθ

Answer

cos²θ - sin²θ = 0

Answer

1 - sin²θ = cos²θ

Question 2

Which trigonometric function represents the ratio of the opposite side to the hypotenuse in a right triangle?

Accepted Answer

sine

Answer

tangent

Answer

cosine

Answer

secant

Question 3

Which trigonometric function represents the ratio of the adjacent side to the hypotenuse in a right triangle?

Accepted Answer

cosine

Answer

sine

Answer

tangent

Answer

secant

Question 4

What is the reciprocal of cosine?

Accepted Answer

secant

Answer

tangent

Answer

cotangent

Answer

cosecant

Question 5

What is the reciprocal of sine?

Accepted Answer

cosecant

Answer

cotangent

Answer

secant

Answer

tangent

Question 6

What is the relationship between tangent and sine?

Accepted Answer

tangent(θ) = sin(θ)/cos(θ)

Answer

tangent(θ) = 1/sin(θ)

Answer

tangent(θ) = sin²(θ) + cos²(θ)

Answer

tangent(θ) = cos(θ)/sin(θ)

Question 7

What is the relationship between cotangent and tangent?

Accepted Answer

cotangent(θ) = 1/tan(θ)

Answer

cotangent(θ) = sin²(θ) + cos²(θ)

Answer

cotangent(θ) = cos(θ)/sin(θ)

Answer

cotangent(θ) = sin(θ)/cos(θ)

Question 8

What is the relationship between secant and cosine?

Accepted Answer

secant(θ) = 1/cos(θ)

Answer

secant(θ) = sin(θ)/cos(θ)

Answer

secant(θ) = cos(θ)/sin(θ)

Answer

secant(θ) = sin²(θ) + cos²(θ)

Question 9

What is the relationship between cosecant and sine?

Accepted Answer

cosecant(θ) = 1/sin(θ)

Answer

cosecant(θ) = cos(θ)/sin(θ)

Answer

cosecant(θ) = sin(θ)/cos(θ)

Answer

cosecant(θ) = sin²(θ) + cos²(θ)

Question 10

What is the sum of the squares of sine and cosine?

Accepted Answer

1

Answer

2

Answer

0

Answer

-1

Question 11

What is the identity equation for sin^2(x) + cos^2(x)?

Accepted Answer

1

Answer

-1

Answer

0

Answer

2

Question 12

What is the identity equation for tan(x) * cot(x)?

Accepted Answer

1

Answer

0

Answer

-1

Answer

2

Question 13

What is the identity equation for sec^2(x) - tan^2(x)?

Accepted Answer

1

Answer

-1

Answer

2

Answer

0

Question 14

What is the identity equation for 1 - cos^2(x)?

Accepted Answer

sin^2(x)

Answer

cos^2(x)

Answer

0

Answer

1 - sin^2(x)

Question 15

What is the identity equation for csc(x) * sin(x)?

Accepted Answer

1

Answer

0

Answer

2

Answer

-1

Question 16

What is the identity equation for 1 + tan^2(x)?

Accepted Answer

sec^2(x)

Answer

-1

Answer

0

Answer

tan^2(x) - 1

Question 17

What is the identity equation for sin(-x)?

Accepted Answer

-sin(x)

Answer

0

Answer

sin(x)

Answer

-cos(x)

Question 18

What is the identity equation for cos(pi/2 - x)?

Accepted Answer

sin(x)

Answer

0

Answer

-cos(x)

Answer

1

Question 19

What is the identity equation for tan(pi/2 - x)?

Accepted Answer

cot(x)

Answer

1

Answer

-tan(x)

Answer

0

Question 20

What is the identity equation for csc(pi/2 - x)?

Accepted Answer

sec(x)

Answer

1

Answer

-csc(x)

Answer

0

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