Fundamental Trigonometric Identities Quiz

Which of the following is the reciprocal of sine?

• Secant

• Cotangent

• Cosecant

• Tangent

If the cosine of an angle is 2/3, what is the secant of the angle?

• 2/3

• 1/2

• 3/2

• 3/4

How can tangent be expressed in terms of sine and cosine?

• Sine divided by cosine

• Cosine times sine

• Cosine divided by sine

• Sine times cosine

What is the reciprocal of tangent?

• Sine

• Cotangent

• Secant

• Cosecant

What does the notation sin²(θ) represent?

• Sine of θ squared

• Sine of the square of θ

• Sine of θ times cosine of θ

• Square of the angle θ

Which identity is represented by cos²(θ) + sin²(θ) = 1?

• Reciprocal Identity

• Quotient Identity

• Pythagorean Identity

• Angle Sum Identity

What is the result of dividing the Pythagorean identity by cos²(θ)?

• tan²(θ) + 1 = sec²(θ)

• 1 + cot²(θ) = csc²(θ)

• cot²(θ) + 1 = csc²(θ)

• 1 + tan²(θ) = sec²(θ)

If sin(θ) = -1/4 and θ is in the third quadrant, what is cos(θ)?

• √17/4

• -√15/4

• √15/4

• -√17/4

In which quadrant is cosine negative and sine negative?

• Second

• First

• Fourth

• Third

What is the value of cos(θ) if θ is in the third quadrant and sin(θ) = -1/4?

• -√15/4

• 1/4

• -1/4

• √15/4