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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 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
Practice Tests by Concept
Angle applications practice test
trigonometry-angle-applicationsAngular velocity practice test
trigonometry-angular-velocityArc length practice test
trigonometry-arc-lengthArea of a sector practice test
trigonometry-area-of-a-sectorAngles practice test
trigonometry-anglesAngles in different quadrants practice test
trigonometry-angles-in-different-quadrantsComplementary and supplementary angles practice test
trigonometry-complementary-and-supplementary-anglesCoterminal angles practice test
trigonometry-coterminal-anglesFind all angles in a range given specific output practice test
trigonometry-find-all-angles-in-a-range-given-specific-outputComplex numbers/polar form practice test
trigonometry-complex-numbers-polar-formComplex numbers practice test
trigonometry-complex-numbersDe moivre's theorem and finding roots of complex numbers practice test
trigonometry-de-moivre-s-theorem-and-finding-roots-of-complex-numbersPolar form of complex numbers practice test
trigonometry-polar-form-of-complex-numbersPractical applications practice test
trigonometry-practical-applicationsBearing practice test
trigonometry-bearingInclined planes and air navigation practice test
trigonometry-inclined-planes-and-air-navigationVectors practice test
trigonometry-vectorsSum, difference, and product identities practice test
trigonometry-sum-difference-and-product-identitiesComplete a proof using sums, differences, or products of sines and cosines practice test
trigonometry-complete-a-proof-using-sums-differences-or-products-of-sines-and-cosinesProduct of sines and cosines practice test
trigonometry-product-of-sines-and-cosinesSum and difference of sines and cosines practice test
trigonometry-sum-and-difference-of-sines-and-cosinesTriangles practice test
trigonometry-trianglesArea of a triangle practice test
trigonometry-area-of-a-triangleFind the area of a triangle using trigonometry practice test
trigonometry-find-the-area-of-a-triangle-using-trigonometryLaw of cosines and law of sines practice test
trigonometry-law-of-cosines-and-law-of-sinesAmbiguous triangles practice test
trigonometry-ambiguous-trianglesLaw of cosines practice test
trigonometry-law-of-cosinesLaw of sines practice test
trigonometry-law-of-sinesRight triangles practice test
trigonometry-right-triangles30-60-90 triangles practice test
trigonometry-30-60-90-triangles45-45-90 triangles practice test
trigonometry-45-45-90-trianglesSolving word problems with trigonometry practice test
trigonometry-solving-word-problems-with-trigonometryTrigonometric applications practice test
trigonometry-trigonometric-applicationsUse special triangles to make deductions practice test
trigonometry-use-special-triangles-to-make-deductionsSimilar triangles practice test
trigonometry-similar-trianglesIdentifying similar triangles practice test
trigonometry-identifying-similar-trianglesProportions in similar triangles practice test
trigonometry-proportions-in-similar-trianglesSolving triangles practice test
trigonometry-solving-trianglesFinding angles practice test
trigonometry-finding-anglesFinding sides practice test
trigonometry-finding-sidesTrigonometric equations practice test
trigonometry-trigonometric-equationsSolving trigonometric equations practice test
trigonometry-solving-trigonometric-equationsFinding trigonometric roots practice test
trigonometry-finding-trigonometric-rootsQuadratic formula with trigonometry practice test
trigonometry-quadratic-formula-with-trigonometrySystems of trigonometric equations practice test
trigonometry-systems-of-trigonometric-equationsUnderstanding trigonometric equations practice test
trigonometry-understanding-trigonometric-equationsFactoring trigonometric equations practice test
trigonometry-factoring-trigonometric-equationsSetting up trigonometric equations practice test
trigonometry-setting-up-trigonometric-equationsTrigonometric functions and graphs practice test
trigonometry-trigonometric-functions-and-graphsTrigonometric functions practice test
trigonometry-trigonometric-functionsDetermine which values of trigonometric functions are undefined practice test
trigonometry-determine-which-values-of-trigonometric-functions-are-undefinedGraphs of inverse trigonometric functions practice test
trigonometry-graphs-of-inverse-trigonometric-functionsSimplifying trigonometric functions practice test
trigonometry-simplifying-trigonometric-functionsSolve a trigonometric function by squaring both sides practice test
trigonometry-solve-a-trigonometric-function-by-squaring-both-sidesTrigonometric functions practice test
trigonometry-trigonometric-functionsUnderstand the signs of the 6 trigonometric functions in each quadrant practice test
trigonometry-understand-the-signs-of-the-6-trigonometric-functions-in-each-quadrantTrigonometric graphs practice test
trigonometry-trigonometric-graphsDetermine vertical shifts practice test
trigonometry-determine-vertical-shiftsGraphing secant and cosecant practice test
trigonometry-graphing-secant-and-cosecantGraphing sine and cosine practice test
trigonometry-graphing-sine-and-cosineGraphing tangent and cotangent practice test
trigonometry-graphing-tangent-and-cotangentPeriod and amplitude practice test
trigonometry-period-and-amplitudePhase shifts practice test
trigonometry-phase-shiftsTrigonometric identities practice test
trigonometry-trigonometric-identitiesApply basic and definitional identities practice test
trigonometry-apply-basic-and-definitional-identitiesComplementary and supplementary identities practice test
trigonometry-complementary-and-supplementary-identitiesComplete basic trigonometry proofs practice test
trigonometry-complete-basic-trigonometry-proofsIdentities of doubled angles practice test
trigonometry-identities-of-doubled-anglesIdentities of halved angles practice test
trigonometry-identities-of-halved-anglesIdentities of inverse operations practice test
trigonometry-identities-of-inverse-operationsIdentities of squared trigonometric functions practice test
trigonometry-identities-of-squared-trigonometric-functionsIdentities with angle sums practice test
trigonometry-identities-with-angle-sumsPythagorean identities practice test
trigonometry-pythagorean-identitiesSum and product identities practice test
trigonometry-sum-and-product-identitiesTrigonometric operations practice test
trigonometry-trigonometric-operationsArcsin, arccos, arctan practice test
trigonometry-arcsin-arccos-arctanSec, csc, ctan practice test
trigonometry-sec-csc-ctanSin, cos, tan practice test
trigonometry-sin-cos-tanUnit circle and radians practice test
trigonometry-unit-circle-and-radiansAngles in the unit circle practice test
trigonometry-angles-in-the-unit-circleRadians and conversions practice test
trigonometry-radians-and-conversionsUnit circle practice test
trigonometry-unit-circleAll Trigonometry Resources
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