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Regents Exam Questions A2.A.67: Simplifying Trigonometric Expressions Name: _______________________ www.jmap.org A2.A.67: Simplifying Trigonometric Expressions: Justify the Pythagorean identities 6 If sinA k , then the value of the expression (sinA) (cos A) (tanA ) is equivalent to 1) 1 1 2) k 3) k 4) k 2 1 Which expression always equals 1? 1) cos 2 x sin 2 x 2) cos 2 x sin 2 x 3) cos x sin x 4) cos x sin x 2 Which equation is not true? 1) cot 2 1 sec 2 2) sin 2 1 cos 2 3) sec 2 tan 2 1 4) csc 2 1 cot 2 7 The expression 1) 2) 3) 3 The expression sin x cos x b is equivalent to 1) 1 2) b 2 3) (1 b)(1 b) 4) sinx cos x b 2 2 2 4) sin A cos A sinA cos A 1 sinA cos A cos A sin A 8 The expression 1) 2) 3) 4) 1 cos 2 x 4 The expression is equivalent to sin 2 x 1) 1 2) 1 3) sin x 4) cos x sin 2 A is equivalent to tan A sinx cos x is equivalent to tanx 1 sin 2 x cos x cos 2 x 9 Express in simplest terms: 5 The expression cos 2 4 sin 2 4 is equivalent to 1) 1 2) 2 3) cos 4) cos 8 1 2 2sin 2 x cos x ID: A A2.A.67: Simplifying Trigonometric Expressions: Justify the Pythagorean identities Answer Section 1 ANS: 2 2 ANS: 1 cot 2 1 sec 2 REF: 011208a2 cos 2 1 1 2 sin cos 2 cos 2 cos 2 1 cos 2 sin2 cos 2 sin 2 sin2 cos 2 REF: 061626a2 3 ANS: 3 4 ANS: 1 REF: 060121siii REF: 060610b 5 ANS: 1 cos 2 (4) sin 2 (4) 1 6 7 8 9 REF: ANS: ANS: ANS: ANS: 060812b 4 2 4 REF: 019026siii REF: 089023siii REF: 080032siii 2 cos x. . REF: 080526b 1