4.1: Radian Measure
- Definition of a radian measure
- Converting from degree measurements to radian measurements
- Coverting from radian measurements to degree measurements
- Problems involving angular velocity
4.1_radian_measure.pdf | |
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4.2: Trigonometry Ratios and Special Angles
- Determining reciprocal trigonometric ratios for an angle expressed in radians
- Using the unit circle and special triangles (30-60-90 and 45-45-90) to determine exact trigonometric ratios for special angles
- Using the unit circle and the CAST rule to determine exact values for the trigonometric ratios of multiples of the special angles
4.3: Equivalent Trigonometric Expressions
- Proving the cofunction identities involving the angle (pi/2 - x) using a right triangle
- Proving the cofunction identities involving the angle (pi/2 + x) using the unit circle and transformations.
- Using equivalent trigonometric expressions to evaluate trigonometric expressions of other angles
4.3_equivalent_trigonometric_expressions.pdf | |
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4.3_numbers_6_and_10.pdf | |
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4.3_number_23.pdf | |
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4.3_textbook_numbers_9_and_11.pdf | |
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4.4: Compound Angle Formulas
- Proving sum and difference formulas for sine, cosine and tangent ratio
- Applying compound angle formulas to determine exact trigonometric ratios for angles that can be expressed as sums or differences of special angles
4.4_compound_angle_formulas.pdf | |
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4.4_number_7.pdf | |
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4.4_7c.pdf | |
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4.5: Prove Trigonometric Identities
- A trigonometric identity is an equation with trigonometric expressions that is true for all angles in the domain of the expression on both sides.
- To prove that an equation is an identity, treat each side of the equation independently and transform the expression on one side into the exact from of the expression on the other side.
- The basic trigonometric identities are the Pythagorean identity, the quotient identity, the reciprocal identities, and the compound angle formulas. You can use these identities to prove more complex identities.
4.5_examples.pdf | |
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4.5_14_a_and_c.pdf | |
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pythagorean_identities_proof.pdf | |
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double_angle_formulas_proof.pdf | |
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Additional Resources
the_big_trig_sheet.pdf | |
File Size: | 153 kb |
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trigonometric_identities_assignment.pdf | |
File Size: | 76 kb |
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