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Microsoft Word - trigonometric_identities_with_solutions.doc Author: TrifonMadas Created Date: 6/3/2015 4:57:53 PM ...
Trig Prove each identity; 1 . 1 . secx - tanx SInX - - secx 3. sec8sin8 tan8+ cot8 sin' 8 5 . cos ' Y -sin ., y = 12" - Sin Y 7. sec2 e --sec2 e-1 csc2 e Identities worksheet 3.4 name: 2. 1 + cos x = esc x + cot x sinx 4. sec8 tan8 1 -----= cos8 cot8 6. csc2 e tan2 e -1 = tan2 e 8. tan2 x sin' x = tan' x - sin' x . Tria Prove each identity: ...
Trigonometric Equations 1. Find all values of x for which 2cos 3x 0, if 0qqd x 360. 2. Solve 2sin 3T 0, if . 3. Solve 2cos 9co2 tt s5, if 0d t 2S. 4. Solve 2sin 2s 1 02 TT in, if 0q d TS. 5. Solve cos2 3sin 2 0,TT if 0qqddT 360.
• know how to differentiate all the trigonometric functions, • know expressions for sin2θ, cos2θ, tan2θ and use them in simplifying trigonometric functions, • know how to reduce expressions involving powers and products of trigonometric func-tions to simple forms which can be integrated.
Answers to Verifying Identities. sin x + csc x. 1) csc x. Decompose into sine and cosine. 1. +. sin x sin x. Simplify. 1.
Fundamental Trigonometric Identities. Familiarize learners with quotient, reciprocal, cofunction and Pythagorean identities. Practice evaluating and proving expressions using the fundamental trigonometric formulas with these worksheets. (18 Worksheets)
The trigonometric identities can be called mathematical functions formed of the one or more angles. These worksheets will benefit the students in gaining a proper understanding of the law of sines and cosines, the tangents, the trigonometric functions etc.
