Precalculus Worksheets and Study Guides

This worksheet asks student to graph parametric equations by completing a table of values.

This review packet covers simplifying, evaluating, and verifying trig identities, including quotient identities, reciprocal identities, sum/difference identities, half/double angle identities, cofunction identities, Pythagorean identities, and even-odd identities. Most answers are provided so students can check their work.

This bundle includes 5 worksheets and keys for graphing sine, cosine, and tangent functions: 2.1 - Sine and Cosine _ Period and Amplitude Changes 2.2 - Tangent _ Period and Amplitude Changes 2.3 - Sine and Cosine _ Vertical and Horizontal Shifts 2.4 - Tangent _ Vertical and Horizontal Shifts 2.5 - Sine, Cosine, and Tangent _ Mixed Graphing Practice

This introduction to trigonometry has students practice the following skills: 1. Evaluate trig ratios using the unit circle 2. Evaluate inverse trig ratios and solving basic trig equations using the unit circle 3. Graph angles in degree and radian measure 4. Find reference angles and coterminal angles in degree and radian measure 5. Find trig ratios given a point on the terminal side of an angle 6. Find trig ratios given one trig ratio and a quadrant 7. Use a calculator and a graph to determ

This worksheet has students draw angles in standard position, determine reference angles, and find both positive and negative coterminal angles. Select answers are provided for students to check their work.

This worksheet has students practice verifying trig identities using reciprocal identities, quotient identities, and Pythagorean identities. Students are asked to use a variety of methods, including rewrite in terms of sin/cos, find a common denominator, factor, and multiply by the conjugate.

This worksheet asks students to graph parametric equations, including in the form of introductory level application problems.

This packet has 19 application problems that require students to use right triangle trigonometry to solve for side lengths and angles, including problems with angles of elevation and depression. Answers are provided for students to check their work.

This worksheet asks students to find angles in both degrees and radian measure using the unit circle. Students are asked to use the unit circle to evaluate inverse trig functions as well as solve basic trig equations.

This packet has students apply true bearings and compass bearings to application problems that are solved using Law of Sines or Law of Cosines. The ambiguous case does not apply.

This review packet includes a variety of application problems in which students must determine whether to solve triangles using right triangle trig, Law of Sines, Law of Cosines, or vectors, as well as finding the area using Heron's formula. The ambiguous case is not included and bearings are included. The packet also includes practice with vectors, including finding component form, finding magnitude, finding angles, and applying trig form of vectors to find the force/velocity of a resultant

This review packet has students practice solving triangles using Right Triangle Trig, Law of Sines, and Law of Cosines, including applying these to application problems, including those involving compass and true bearings. The ambiguous case is not included. Students are also asked to find the area of triangles. Answers are provided for students.

This is a review of parametric equations, including graphing, converting to rectangular form, and real world applications. Answers are included at the end for students to be able to check their work.

This worksheet has students find the maximum r values and the zeros for a variety of polar equations, including circles, cardioids, limacons, and roses.

This bundle of verifying trig identities provides four worksheets and 1 packet, broken down in the following way: 1) Verify trig identities using reciprocal, quotient, and Pythagorean Identities 2) Verify trig identities by factoring and multiplying by the conjugate 3) Verify trig identities by finding a common denominator 4) Verify trig identities using sum/difference and half/double angle identities 5) Review Packet with mixed practice (mostly practices methods #1-3 above)

This review packet includes solving right triangles using trigonometry and solving non-right triangles using Law of Sines and Law of Cosines, including application problems. It also covers finding the area of a triangle using trigonometry and Heron's Formula. The answers are attached so students can check their work.

This worksheet includes application problems of vectors in trigonometric form. Students are asked to represent a situation in vector component form as well as find the magnitude and angle of resultant vectors when applied to real life situations (with bearings).

This worksheet asks students to evaluate the six trig functions (sin, cos, tan, csc, sec, and cot) in both radian measure and degrees. Students are encouraged to do so without copying off a previously completed unit circle and without a calculator (in the hopes that it helps them memorize it!).

This worksheet asks students to graph common polar graphs, including circles, limacons, and roses. Students are also asked to find the maximum r values, the zeros, and to complete a table of values.

This review packet covers graphing common polar graphs, including cardiods, looped limacons, circles, and roses, as well as finding zeros, maximum r values, and converting between polar and rectangular form.