Targets
- 6A. Verify, evaluate, and apply trigonometric identities and formulas.
- 6B. Prove trigonometric identities.
- 6C. Solve equations using trigonometric identities.
- 6D. Use Law of Sines and Law of Cosines to solve triangles.
Essential Questions
- When do you use trigonometric identities to evaluate, simplify, verify/prove, and solve trigonometric functions, expressions, identities, and equations, respectively?
- How do you use trigonometric identities to evaluate, simplify, verify/prove, and solve trigonometric functions, expressions, identities, and equations, respectively?
- When does Law of Sines or Law of Cosines apply in real world situations?
Interesting Fact
exact_values_of_sin_for_all_integers.pdf | |
File Size: | 293 kb |
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Click here for explanation of above fact.
Extra Help Videos
- Watch PreCalculus Videos at: http://www.chaoticgolf.com/tutorials_pc.html or Khan Academy
Extra Online Resources
Important Files
unit_6_hw_solutions.pdf | |
File Size: | 1649 kb |
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additional_trig_identities_practice_with_solutions.pdf | |
File Size: | 53 kb |
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unit_6_goal_setting_self_assess.pdf | |
File Size: | 38 kb |
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precalculus_homework_grading_criteria.pdf | |
File Size: | 293 kb |
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Class Notes
5.1 Fundamental Identities (Target 6A)
5.1.1_strategies_to_simplify_trig_expressions.pdf | |
File Size: | 221 kb |
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5.1.1_fundamental_identities_guided_notes.pdf | |
File Size: | 301 kb |
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5.1.1_fundamental_identities_guided_notes_solutions.pdf | |
File Size: | 482 kb |
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5.1.1_dok_problems.pdf | |
File Size: | 149 kb |
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5.1.2_fundamental_identities_practice.pdf | |
File Size: | 288 kb |
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5.1.2_fundamental_identities_practice_solutions.pdf | |
File Size: | 550 kb |
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5.1.3_solve_trig_equations.pdf | |
File Size: | 290 kb |
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5.1.3_solve_trig_equations_solutions.pdf | |
File Size: | 557 kb |
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#3 answers should be: x=-pi/6+1, pi/6+1, 5pi/6+1, & 7pi/6+1
#4 answers should be: x=pi/4, 3pi/4, 5pi/4, & 7pi/4
#6 answers should be: x=pi/2 & 3pi/2
#4 answers should be: x=pi/4, 3pi/4, 5pi/4, & 7pi/4
#6 answers should be: x=pi/2 & 3pi/2
5.2 Proving Trigonometric Identities (Target 6B)
5.2.1_prove_identities_guided_notes.pdf | |
File Size: | 300 kb |
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5.2.1_prove_identities_guided_notes_solutions.pdf | |
File Size: | 411 kb |
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5.2.2_practice_proving_identities.pdf | |
File Size: | 132 kb |
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5.2.2_practice_proving_identities_solutions.pdf | |
File Size: | 384 kb |
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5.2.3_pass_the_proof_trig_activity.pdf | |
File Size: | 220 kb |
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5.2.3_pass_the_proof_trig_activity_solutions.pdf | |
File Size: | 346 kb |
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5.2.3_puzzle_proofs.pdf | |
File Size: | 186 kb |
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5.3 Sum and Difference Identities (Target 6B)
5.3.1_proof_of_sum_and_difference_identities.pdf | |
File Size: | 25 kb |
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Click here to see a cool proof of Sum/Difference Identities
5.3.1_sum_and_difference_guided_notes.pdf | |
File Size: | 292 kb |
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5.3.1_sum_and_difference_guided_notes_solutions.pdf | |
File Size: | 446 kb |
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5.3.2_sine_sum_formula_link_sheet.pdf | |
File Size: | 24 kb |
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5.3.2_sum_and_difference_practice.pdf | |
File Size: | 133 kb |
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5.3.2_sum_and_difference_practice_solutions.pdf | |
File Size: | 137 kb |
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In the solution file above, you can simplify #1 further by factoring out a sqrt(2) and rationalizing the denominator. The best answer is 2-sqrt(3).
5.4 Multiple Angle Identities (Target 6C)
5.4.1_multiple_angle_identities_guided_notes.pdf | |
File Size: | 287 kb |
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5.4.1_multiple_angle_identities_guided_notes_solutions.pdf | |
File Size: | 606 kb |
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5.4.2_trig_identity_web_warmup.pdf | |
File Size: | 299 kb |
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5.4.2_advanced_trig_trail.pdf | |
File Size: | 441 kb |
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5.5 The Law of Sines (Target 6D)
5.5.1_law_of_sines_guided_notes.pdf | |
File Size: | 353 kb |
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5.5.1_law_of_sines_guided_notes_solutions.pdf | |
File Size: | 624 kb |
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5.5.2_law_of_sines_ambiguous_case_practice_with_answers.pdf | |
File Size: | 88 kb |
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5.5.2_law_of_sines_ambiguous_case_practice_solutions.pdf | |
File Size: | 1092 kb |
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5.6 The Law of Cosines (Target 6D)
5.6.1_law_of_cosines_guided_notes.pdf | |
File Size: | 421 kb |
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5.6.1_law_of_cosines_guided_notes_solutions.pdf | |
File Size: | 663 kb |
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5.6.2_review_law_sines_and_cosines.pdf | |
File Size: | 187 kb |
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5.6.2_review_law_sines_and_cosines_solutions.pdf | |
File Size: | 331 kb |
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Unit 6 Review (ALL Targets)
Extra Review & Practice
key_concept_6_formula_sheet.pdf | |
File Size: | 98 kb |
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key_concept_6_review.pdf | |
File Size: | 436 kb |
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key_concept_6_review_solutions.pdf | |
File Size: | 494 kb |
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key_concept_6_error_analysis_activity.pdf | |
File Size: | 113 kb |
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