6. Trigonometric Identities and More Equations
Introduction to Trigonometric Identities
- Textbook QuestionBe sure that you've familiarized yourself with the second set of formulas presented in this section by working C5–C8 in the Concept and Vocabulary Check. In Exercises 9–22, express each sum or difference as a product. If possible, find this product's exact value.sin x + sin 2x484views
- Textbook QuestionBe sure that you've familiarized yourself with the second set of formulas presented in this section by working C5–C8 in the Concept and Vocabulary Check. In Exercises 9–22, express each sum or difference as a product. If possible, find this product's exact value.3x xcos -------- + cos --------2 2473views
- Textbook QuestionBe sure that you've familiarized yourself with the second set of formulas presented in this section by working C5–C8 in the Concept and Vocabulary Check. In Exercises 9–22, express each sum or difference as a product. If possible, find this product's exact value.sin 75° + sin 15°483views
- Textbook QuestionBe sure that you've familiarized yourself with the second set of formulas presented in this section by working C5–C8 in the Concept and Vocabulary Check. In Exercises 9–22, express each sum or difference as a product. If possible, find this product's exact value.cos 75° ﹣ cos 15°482views
- Textbook QuestionIn Exercises 39–42, use double- and half-angle formulas to find the exact value of each expression.sin 22.5°491views
- Textbook Question
Find values of the sine and cosine functions for each angle measure.
B, given cos 2B = 1/8 , 540° < 2B < 720°
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Find values of the sine and cosine functions for each angle measure.
2y, given sec y = -5/3, sin y > 0
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Use the given information to find each of the following.
sin A/2, given cos A/2 = - 3, 90° < A < 180°
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Use the given information to find each of the following.
sin y, given cos 2y = -1/3 , π/2 < y < π
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Use the given information to find each of the following.
sin 2x, given sin x = 0.6, π/2 < y < π
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Graph each expression and use the graph to make a conjecture, predicting what might be an identity. Then verify your conjecture algebraically.
(1 - cos 2x)/sin 2x
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Graph each expression and use the graph to make a conjecture, predicting what might be an identity. Then verify your conjecture algebraically.
(cos x sin 2x)/1 + cos 2x)
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Graph each expression and use the graph to make a conjecture, predicting what might be an identity. Then verify your conjecture algebraically.
csc x - cot x
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Determine whether the positive or negative square root should be selected.
cos 58° = ±√ (1 + cos 116°)/2]
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Determine whether the positive or negative square root should be selected.
sin (-10°) = ± √[(1 - cos (-20°))/2]
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