Identity Matching

  • 9th Grade
Reviewed by Cierra Henderson
Cierra Henderson, MBA |
K-12 Expert
Review Board Member
Cierra is an educational consultant and curriculum developer who has worked with students in K-12 for a variety of subjects including English and Math as well as test prep. She specializes in one-on-one support for students especially those with learning differences. She holds an MBA from the University of Massachusetts Amherst and a certificate in educational consulting from UC Irvine.
 , MBA
By Thames
T
Thames
Community Contributor
Quizzes Created: 8156 | Total Attempts: 9,588,805
| Attempts: 16 | Questions: 20 | Updated: Jan 19, 2026
Please wait...
Question 1 / 21
🏆 Rank #-- ▾
Score 0/100

1) What is the reciprocal of the tangent function?

Explanation

The reciprocal of tangent is called cotangent.

Submit
Please wait...
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.

2)

What first name or nickname would you like us to use?

You may optionally provide this to label your report, leaderboard, or certificate.

2) 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.

Submit

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

Explanation

Cosecant is undefined exactly where sine is zero.

Submit

4) 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.

Submit

5) 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.

Submit

6) The reciprocal of cotangent is:

Explanation

The reciprocal of cotangent is tangent.

Submit

7) 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.

Submit

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

Explanation

The reciprocal of cosecant is sine.

Submit

9) 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.

Submit

10) Which ratio is the reciprocal of cotangent?

Explanation

The reciprocal of cotangent is tangent.

Submit

11) 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.

Submit

12) What is the reciprocal of the cosine function?

Explanation

The reciprocal of cosine is called secant.

Submit

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

Explanation

Secant is undefined exactly where cosine is zero.

Submit

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

Explanation

The reciprocal of secant is cosine.

Submit

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

Explanation

Cotangent is undefined exactly where tangent is zero.

Submit

16) 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.

Submit

17) 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.

Submit

18) 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.

Submit

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

Explanation

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

Submit

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

Explanation

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

Submit
×
Saved
Thank you for your feedback!
View My Results
Cierra Henderson |MBA |
K-12 Expert
Cierra is an educational consultant and curriculum developer who has worked with students in K-12 for a variety of subjects including English and Math as well as test prep. She specializes in one-on-one support for students especially those with learning differences. She holds an MBA from the University of Massachusetts Amherst and a certificate in educational consulting from UC Irvine.
Cancel
  • All
    All (20)
  • Unanswered
    Unanswered ()
  • Answered
    Answered ()
What is the reciprocal of the tangent function?
In the right triangle shown above, what is csc(x)?
Which function is undefined whenever sin θ = 0?
In the right triangle shown above, what is csc(x)?
If cos θ = -5/13 and θ is in quadrant II, what is sec...
The reciprocal of cotangent is:
If sin θ = -12/13 and θ is in quadrant III, what is csc...
Which of the following is the reciprocal of cosecant?
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)?
What is the reciprocal of the cosine function?
Which function is undefined whenever cos θ = 0?
Which of the following is the reciprocal of secant?
Which function is undefined whenever tan θ = 0?
In the right triangle shown above, what is sec(x)?
In the right triangle shown above, what is sec(x)?
If tan θ = 7/24 and θ is in quadrant III, what is cot...
In the right triangle shown above, what is csc(x)?
In the right triangle shown above, what is sec(x)?
play-Mute sad happy unanswered_answer up-hover down-hover success oval cancel Check box square blue
Alert!