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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
Angle applications practice test
trigonometryangleapplicationsAngular velocity practice test
trigonometryangularvelocityArc length practice test
trigonometryarclengthArea of a sector practice test
trigonometryareaofasectorAngles practice test
trigonometryanglesAngles in different quadrants practice test
trigonometryanglesindifferentquadrantsComplementary and supplementary angles practice test
trigonometrycomplementaryandsupplementaryanglesCoterminal angles practice test
trigonometrycoterminalanglesFind all angles in a range given specific output practice test
trigonometryfindallanglesinarangegivenspecificoutputComplex numbers/polar form practice test
trigonometrycomplexnumberspolarformComplex numbers practice test
trigonometrycomplexnumbersDe moivre's theorem and finding roots of complex numbers practice test
trigonometrydemoivrestheoremandfindingrootsofcomplexnumbersPolar form of complex numbers practice test
trigonometrypolarformofcomplexnumbersPractical applications practice test
trigonometrypracticalapplicationsBearing practice test
trigonometrybearingInclined planes and air navigation practice test
trigonometryinclinedplanesandairnavigationVectors practice test
trigonometryvectorsSum, difference, and product identities practice test
trigonometrysumdifferenceandproductidentitiesComplete a proof using sums, differences, or products of sines and cosines practice test
trigonometrycompleteaproofusingsumsdifferencesorproductsofsinesandcosinesProduct of sines and cosines practice test
trigonometryproductofsinesandcosinesSum and difference of sines and cosines practice test
trigonometrysumanddifferenceofsinesandcosinesTriangles practice test
trigonometrytrianglesArea of a triangle practice test
trigonometryareaofatriangleFind the area of a triangle using trigonometry practice test
trigonometryfindtheareaofatriangleusingtrigonometryLaw 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
trigonometry454590trianglesSolving word problems with trigonometry practice test
trigonometrysolvingwordproblemswithtrigonometryTrigonometric applications practice test
trigonometrytrigonometricapplicationsUse special triangles to make deductions practice test
trigonometryusespecialtrianglestomakedeductionsSimilar 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
trigonometrytrigonometricfunctionsDetermine which values of trigonometric functions are undefined practice test
trigonometrydeterminewhichvaluesoftrigonometricfunctionsareundefinedGraphs of inverse trigonometric functions practice test
trigonometrygraphsofinversetrigonometricfunctionsSimplifying trigonometric functions practice test
trigonometrysimplifyingtrigonometricfunctionsSolve a trigonometric function by squaring both sides practice test
trigonometrysolveatrigonometricfunctionbysquaringbothsidesTrigonometric functions practice test
trigonometrytrigonometricfunctionsUnderstand the signs of the 6 trigonometric functions in each quadrant practice test
trigonometryunderstandthesignsofthe6trigonometricfunctionsineachquadrantTrigonometric graphs practice test
trigonometrytrigonometricgraphsDetermine vertical shifts practice test
trigonometrydetermineverticalshiftsGraphing 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
trigonometrytrigonometricidentitiesApply basic and definitional identities practice test
trigonometryapplybasicanddefinitionalidentitiesComplementary and supplementary identities practice test
trigonometrycomplementaryandsupplementaryidentitiesComplete basic trigonometry proofs practice test
trigonometrycompletebasictrigonometryproofsIdentities 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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