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All Trigonometry Resources
Free Trigonometry Diagnostic Tests
Trigonometry Diagnostic Test 1
Trigonometry Diagnostic Test 2
Trigonometry Diagnostic Test 3
Trigonometry Diagnostic Test 4
Trigonometry Diagnostic Test 5
All Trigonometry Resources
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 PreCalculus and Calculus. Information students learn in Trigonometry helps them succeed in later higherlevel mathematics courses, as well as in science courses like Physics, where trigonometric functions are used to model certain physical phenomena.
Like PreAlgebra, 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 306090 and 454590 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 multiplechoice Trigonometry questions, and each question comes with a full stepbystep 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
Practice Tests by Concept
Angles practice test
trigonometryanglesAngles in different quadrants practice test
trigonometryanglesindifferentquadrantsComplementary and supplementary angles practice test
trigonometrycomplementaryandsupplementaryanglesCoterminal angles practice test
trigonometrycoterminalanglesTriangles practice test
trigonometrytrianglesLaw of cosines and law of sines practice test
trigonometrylawofcosinesandlawofsinesAmbiguous triangles practice test
trigonometryambiguoustrianglesLaw of cosines practice test
trigonometrylawofcosinesLaw of sines practice test
trigonometrylawofsinesRight triangles practice test
trigonometryrighttriangles306090 triangles practice test
trigonometry306090triangles454590 triangles practice test
trigonometry454590trianglesTrigonometric applications practice test
trigonometrytrigonometricapplicationsSimilar triangles practice test
trigonometrysimilartrianglesIdentifying similar triangles practice test
trigonometryidentifyingsimilartrianglesProportions in similar triangles practice test
trigonometryproportionsinsimilartrianglesSolving triangles practice test
trigonometrysolvingtrianglesFinding angles practice test
trigonometryfindinganglesFinding sides practice test
trigonometryfindingsidesTrigonometric equations practice test
trigonometrytrigonometricequationsSolving trigonometric equations practice test
trigonometrysolvingtrigonometricequationsFinding trigonometric roots practice test
trigonometryfindingtrigonometricrootsQuadratic formula with trigonometry practice test
trigonometryquadraticformulawithtrigonometrySystems of trigonometric equations practice test
trigonometrysystemsoftrigonometricequationsUnderstanding trigonometric equations practice test
trigonometryunderstandingtrigonometricequationsFactoring trigonometric equations practice test
trigonometryfactoringtrigonometricequationsSetting up trigonometric equations practice test
trigonometrysettinguptrigonometricequationsTrigonometric functions and graphs practice test
trigonometrytrigonometricfunctionsandgraphsTrigonometric functions practice test
trigonometrytrigonometricfunctionsSimplifying trigonometric functions practice test
trigonometrysimplifyingtrigonometricfunctionsTrigonometric functions practice test
trigonometrytrigonometricfunctionsTrigonometric graphs practice test
trigonometrytrigonometricgraphsGraphing secant and cosecant practice test
trigonometrygraphingsecantandcosecantGraphing sine and cosine practice test
trigonometrygraphingsineandcosineGraphing tangent and cotangent practice test
trigonometrygraphingtangentandcotangentPeriod and amplitude practice test
trigonometryperiodandamplitudePhase shifts practice test
trigonometryphaseshiftsTrigonometric identities practice test
trigonometrytrigonometricidentitiesBasic and definitional identities practice test
trigonometrybasicanddefinitionalidentitiesComplementary and supplementary identities practice test
trigonometrycomplementaryandsupplementaryidentitiesIdentities of doubled angles practice test
trigonometryidentitiesofdoubledanglesIdentities of halved angles practice test
trigonometryidentitiesofhalvedanglesIdentities of inverse operations practice test
trigonometryidentitiesofinverseoperationsIdentities of squared trigonometric functions practice test
trigonometryidentitiesofsquaredtrigonometricfunctionsIdentities with angle sums practice test
trigonometryidentitieswithanglesumsPythagorean identities practice test
trigonometrypythagoreanidentitiesSum and product identities practice test
trigonometrysumandproductidentitiesTrigonometric operations practice test
trigonometrytrigonometricoperationsArcsin, arccos, arctan practice test
trigonometryarcsinarccosarctanSec, csc, ctan practice test
trigonometryseccscctanSin, cos, tan practice test
trigonometrysincostanUnit circle and radians practice test
trigonometryunitcircleandradiansAngles in the unit circle practice test
trigonometryanglesintheunitcircleRadians and conversions practice test
trigonometryradiansandconversionsUnit circle practice test
trigonometryunitcircleAll Trigonometry Resources
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