Identity Matching

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Quizzes Created: 7116 | Total Attempts: 9,522,086
| Questions: 20 | Updated: Oct 15, 2025
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1) What is the reciprocal of the cosine function?

Explanation

The reciprocal of cosine is called secant.

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About This Quiz
Identity Matching - Quiz

Can you match each trig function with its reciprocal? In this quiz, you’ll focus on identities, reciprocal pairs, and undefined values for trigonometric ratios. We bring you this quiz to help you connect definitions to reciprocal rules and spot common patterns across trigonometric functions.

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2) What is the reciprocal of the tangent function?

Explanation

The reciprocal of tangent is called cotangent.

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3) In the right triangle shown above, what is csc(x)?

Explanation

In a 3–4–5 triangle with x opposite 3, cosecant is hypotenuse over opposite, so 5 over 3.

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4) In the right triangle shown above, what is sec(x)?

Explanation

In a 5–12–13 triangle with adjacent 12, secant is hypotenuse over adjacent, so 13 over 12.

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5) Which function is undefined whenever sin θ = 0?

Explanation

Cosecant is undefined exactly where sine is zero.

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6) In the right triangle shown above, what is csc(x)?

Explanation

In a 7–24–25 triangle with x opposite 7, cosecant is 25 over 7.

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7) Which function is undefined whenever cos θ = 0?

Explanation

Secant is undefined exactly where cosine is zero.

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8) If cos θ = -5/13 and θ is in quadrant II, what is sec θ?

Explanation

Reciprocal keeps the sign in Quadrant II: from −5/13 for cosine you get −13/5 for secant.

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9) The reciprocal of cotangent is:

Explanation

The reciprocal of cotangent is tangent.

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10) In the right triangle shown above, what is sec(x)?

Explanation

In a 3–4–5 triangle with adjacent 4, secant is 5 over 4.

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11) If sin θ = -12/13 and θ is in quadrant III, what is csc θ?

Explanation

Take the reciprocal of −12/13 to get cosecant −13/12.

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12) In the right triangle shown above, what is sec(x)?

Explanation

In a 5–12–13 triangle with adjacent 12, secant is 13/12.

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13) Which of the following is the reciprocal of secant?

Explanation

The reciprocal of secant is cosine.

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14) Which of the following is the reciprocal of cosecant?

Explanation

The reciprocal of cosecant is sine.

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15) If tan θ = 7/24 and θ is in quadrant III, what is cot θ?

Explanation

In Quadrant III the sign is negative; cotangent is the reciprocal of tangent, so −24/7.

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16) In the right triangle shown above, what is csc(x)?

Explanation

In an 8–15–17 triangle with opposite 15, cosecant is 17/15.

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17) If cos θ = 4/5 and θ is in quadrant IV, what is sec θ?

Explanation

In Quadrant IV cosine is positive, so secant is 5/4.

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18) Which ratio is the reciprocal of cotangent?

Explanation

The reciprocal of cotangent is tangent.

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19) In the right triangle shown above, what is cot(x)?

Explanation

In a 3–4–5 triangle with opposite 3 and adjacent 4, cotangent is 4/3.

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20) Which function is undefined whenever tan θ = 0?

Explanation

Cotangent is undefined exactly where tangent is zero.

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What is the reciprocal of the cosine function?
What is the reciprocal of the tangent function?
In the right triangle shown above, what is csc(x)?
In the right triangle shown above, what is sec(x)?
Which function is undefined whenever sin θ = 0?
In the right triangle shown above, what is csc(x)?
Which function is undefined whenever cos θ = 0?
If cos θ = -5/13 and θ is in quadrant II, what is sec...
The reciprocal of cotangent is:
In the right triangle shown above, what is sec(x)?
If sin θ = -12/13 and θ is in quadrant III, what is csc...
In the right triangle shown above, what is sec(x)?
Which of the following is the reciprocal of secant?
Which of the following is the reciprocal of cosecant?
If tan θ = 7/24 and θ is in quadrant III, what is cot...
In the right triangle shown above, what is csc(x)?
If cos θ = 4/5 and θ is in quadrant IV, what is sec...
Which ratio is the reciprocal of cotangent?
In the right triangle shown above, what is cot(x)?
Which function is undefined whenever tan θ = 0?
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