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Trigonometry Practice Tests

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Free Trigonometry Diagnostic Tests

Take the Varsity Learning Tools free diagnostic test for Trigonometry to determine which academic concepts you understand and which ones require your ongoing attention. Each Trigonometry problem is tagged down to the core, underlying concept that is being tested. The Trigonometry diagnostic test results highlight how you performed on each area of the test. You can then utilize the results to create a personalized study plan that is based on your particular area of need.

Trigonometry Diagnostic Test 1

Questions: 40
Test Difficulty:
Average Time Spent: 1 hrs 20 mins

Trigonometry Diagnostic Test 2

Questions: 40
Test Difficulty:
Average Time Spent: 16 hrs 49 mins

Trigonometry Diagnostic Test 3

Questions: 40
Test Difficulty:
Average Time Spent: 1 hrs 36 mins

Trigonometry Diagnostic Test 4

Questions: 40
Test Difficulty:
Average Time Spent: 19 mins

Trigonometry Diagnostic Test 5

Questions: 40
Test Difficulty:
Average Time Spent: 35 mins

Trigonometry Diagnostic Test 6

Questions: 40
Test Difficulty:
Average Time Spent: 42 mins

High school Trigonometry classes introduce students to various trigonometric identities, properties, and functions in detail. Students typically take Trigonometry after completing previous coursework in Algebra and Geometry, but before taking Pre-Calculus and Calculus. Information students learn in Trigonometry helps them succeed in later higher-level mathematics courses, as well as in science courses like Physics, where trigonometric functions are used to model certain physical phenomena.

Like Pre-Algebra, Algebra I, and Algebra II classes, Trigonometry classes focus on functions and graphs. Trigonometry in particular investigates trigonometric functions, and in the process teaches students how to graph sine, cosine, secant, cosecant, tangent, cotangent, arcsin, arccos, and arctan functions, as well as how to perform phase shifts and calculate their periods and amplitudes. Trigonometric operations are also discussed, and students also learn about trigonometric equations, including how to understand, set up, and factor trig equations, how to solve individual trigonometric equations, as well as systems of trigonometric equations, how to find trig roots, and how to use the quadratic formula on trigonometric equations.

Trigonometric identities are also discussed in Trigonometry classes; students learn about the sum and product identities, as well as identities of inverse operations, squared trigonometric functions, halved angles, and doubled angles. Students also learn to work with identities with angle sums, complementary and supplementary identities, pythagorean identities, and basic and definitional identities.

Another major part of Trigonometry is learning to analyze specific kinds of special triangles. Students learn to determine angles and side lengths in 30-60-90 and 45-45-90 right triangles using the law of sines and the law of cosines, as well as how to identify similar triangles and determine proportions using proportionality.

Trigonometry also teaches students about the unit circles and radians, focusing on how to convert degrees into radians and vice versa. Complementary, supplementary, and coterminal angles are all discussed. This focus on angles in the unit circle is also applied to the coordinate plane when angles in different quadrants are examined.

As may now be apparent, many students find themselves very apprehensive about taking, and keeping up with, a Trigonometry course. Resources like Varsity Tutors’ free Trigonometry Practice Tests can help them channel any nervousness they feel about the course into a process of active review that will benefit them. Each Trigonometry Practice Test features a dozen multiple-choice Trigonometry questions, and each question comes with a full step-by-step explanation to help students who miss it learn the concepts being tested. Questions are organized in Practice Tests, which draw from various topics taught in Trigonometry; questions are also organized by concept. So, if a student wants to focus on only answering questions about using the law of sines, questions organized by concept makes this possible. Using Varsity Tutors’ free Trigonometry Practice Tests, students can practice material they find difficult and reduce apprehension they may feel about Trigonometry.

 

Free Trigonometry Practice Tests

Our completely free Trigonometry practice tests are the perfect way to brush up your skills. Take one of our many Trigonometry practice tests for a run-through of commonly asked questions. You will receive incredibly detailed scoring results at the end of your Trigonometry practice test to help you identify your strengths and weaknesses. Pick one of our Trigonometry practice tests now and begin!

Practice Tests by Concept

Angles practice test

Questions: 4
Test Difficulty:
Average Time Spent: 2 mins 0 secs

Angles in different quadrants practice test

Questions: 2
Test Difficulty:
Average Time Spent: 41 secs

Complementary and supplementary angles practice test

Questions: 1
Test Difficulty:
Average Time Spent: 30 secs

Coterminal angles practice test

Questions: 1
Test Difficulty:
Average Time Spent: 33 secs

Triangles practice test

Questions: 5
Test Difficulty:
Average Time Spent: 6 mins

Law of cosines and law of sines practice test

Questions: 4
Test Difficulty:
Average Time Spent: 12 mins

Ambiguous triangles practice test

Questions: 4
Test Difficulty:
Average Time Spent: 4 mins

Law of cosines practice test

Questions: 2
Test Difficulty:
Average Time Spent: 12 mins

Law of sines practice test

Questions: 2
Test Difficulty:
Average Time Spent: 5 mins

Right triangles practice test

Questions: 7
Test Difficulty:
Average Time Spent: 8 mins

30-60-90 triangles practice test

Questions: 3
Test Difficulty:
Average Time Spent: 5 mins

45-45-90 triangles practice test

Questions: 4
Test Difficulty:
Average Time Spent: 17 mins

Trigonometric applications practice test

Questions: 7
Test Difficulty:
Average Time Spent: 8 mins

Similar triangles practice test

Questions: 1
Test Difficulty:
Average Time Spent: 24 secs

Identifying similar triangles practice test

Questions: 3
Test Difficulty:
Average Time Spent: 1 mins 27 secs

Proportions in similar triangles practice test

Questions: 1
Test Difficulty:
Average Time Spent: 14 secs

Solving triangles practice test

Questions: 4
Test Difficulty:
Average Time Spent: 3 mins

Finding angles practice test

Questions: 3
Test Difficulty:
Average Time Spent: 2 mins 45 secs

Finding sides practice test

Questions: 1
Test Difficulty:
Average Time Spent: 22 secs

Trigonometric equations practice test

Questions: 5
Test Difficulty:
Average Time Spent: 5 mins

Solving trigonometric equations practice test

Questions: 3
Test Difficulty:
Average Time Spent: 1 hrs 35 mins

Finding trigonometric roots practice test

Questions: 2
Test Difficulty:
Average Time Spent: 41 secs

Quadratic formula with trigonometry practice test

Questions: 2
Test Difficulty:
Average Time Spent: 3 mins

Systems of trigonometric equations practice test

Questions: 3
Test Difficulty:
Average Time Spent: 4 mins

Understanding trigonometric equations practice test

Questions: 2
Test Difficulty:
Average Time Spent: 2 mins 0 secs

Factoring trigonometric equations practice test

Questions: 2
Test Difficulty:
Average Time Spent: 2 mins 29 secs

Setting up trigonometric equations practice test

Questions: 6
Test Difficulty:
Average Time Spent: 7 mins

Trigonometric functions and graphs practice test

Questions: 5
Test Difficulty:
Average Time Spent: 8 mins

Trigonometric functions practice test

Questions: 3
Test Difficulty:
Average Time Spent: 2 mins 56 secs

Simplifying trigonometric functions practice test

Questions: 2
Test Difficulty:
Average Time Spent: 1 mins 59 secs

Trigonometric functions practice test

Questions: 1
Test Difficulty:
Average Time Spent: 3 mins

Trigonometric graphs practice test

Questions: 2
Test Difficulty:
Average Time Spent: 33 secs

Graphing secant and cosecant practice test

Questions: 2
Test Difficulty:
Average Time Spent: 1 mins 40 secs

Graphing sine and cosine practice test

Questions: 2
Test Difficulty:
Average Time Spent: 1 mins 31 secs

Graphing tangent and cotangent practice test

Questions: 3
Test Difficulty:
Average Time Spent: 2 mins 46 secs

Period and amplitude practice test

Questions: 2
Test Difficulty:
Average Time Spent: 33 secs

Phase shifts practice test

Questions: 2
Test Difficulty:
Average Time Spent: 2 mins 17 secs

Trigonometric identities practice test

Questions: 4
Test Difficulty:
Average Time Spent: 8 mins

Basic and definitional identities practice test

Questions: 2
Test Difficulty:
Average Time Spent: 36 secs

Complementary and supplementary identities practice test

Questions: 2
Test Difficulty:
Average Time Spent: 59 secs

Identities of doubled angles practice test

Questions: 2
Test Difficulty:
Average Time Spent: 2 mins 48 secs

Identities of halved angles practice test

Questions: 2
Test Difficulty:
Average Time Spent: 2 mins 36 secs

Identities of inverse operations practice test

Questions: 6
Test Difficulty:
Average Time Spent: 2 mins 52 secs

Identities of squared trigonometric functions practice test

Questions: 3
Test Difficulty:
Average Time Spent: 10 mins

Identities with angle sums practice test

Questions: 4
Test Difficulty:
Average Time Spent: 3 mins

Pythagorean identities practice test

Questions: 3
Test Difficulty:
Average Time Spent: 2 mins 25 secs

Sum and product identities practice test

Questions: 2
Test Difficulty:
Average Time Spent: 2 mins 5 secs

Trigonometric operations practice test

Questions: 1
Test Difficulty:
Average Time Spent: 1 mins 45 secs

Arcsin, arccos, arctan practice test

Questions: 1
Test Difficulty:
Average Time Spent: 2 mins 8 secs

Sec, csc, ctan practice test

Questions: 3
Test Difficulty:
Average Time Spent: 1 mins 19 secs

Sin, cos, tan practice test

Questions: 2
Test Difficulty:
Average Time Spent: 1 mins 44 secs

Unit circle and radians practice test

Questions: 2
Test Difficulty:
Average Time Spent: 55 secs

Angles in the unit circle practice test

Questions: 2
Test Difficulty:
Average Time Spent: 45 secs

Radians and conversions practice test

Questions: 2
Test Difficulty:
Average Time Spent: 6 mins

Unit circle practice test

Questions: 2
Test Difficulty:
Average Time Spent: 28 secs
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