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TRIGONOMETRIC IDENTITIES. 1. ( 2cos x + sin x ) + ( cos x − 2sin x ) ≡ 5 (**) 2. sec θ − sec 2 θ sin θ ≡ cos θ (**) cos x sin x. 3. −. cos ( x + y ) ≡ (**) sin y cos y sin y cos y. π .
Trigonometric Equations. 1. Find all values of x for which 2 cos x 3 . 2. Solve 2 sin 3 0 , if 0 x 360 . 2 3. Solve 2 cos t 9co s t 5 , if 0 t 2 . 4. Solve 2 sin 2 2s in 1 0 , if 0 2 .
Advanced Math Trigonometric Identities [Day 1] HOMEWORK Use Trigonometric Identities to write each expression in terms of a single trigonometric identity or a constant. 1. cot𝜃sin𝜃 2. 1− sin 2𝜃 sin2𝜃 1.)_____ 2.)_____ 3. sin𝜃sec𝜃 4. cos𝜃csc𝜃 cot𝜃 3.)_____ 4.)_____
Use identities to find the value of each expression. 1) If sin , find cos ( 2) If tan ( ) , find cot (
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: ...
Trig Identities worksheet 3.4 name: Prove each identity: 1. secx−tanxsinx= 1 secx 2. 1+cosx sinx =cscx+cotx 3. secθsinθ tanθ+cotθ =sin2θ 4. secθ cosθ − tanθ cotθ =1 5. cos2y−sin2y=1−2sin2y 6. csc2θtan2θ−1=tan2θ 7. sec2θ sec2θ−1 =csc 2θ 8. tan2xsinx=tan2x−sin2x Trig Identities worksheet 3.4
A PDF file with exercises on trigonometric identities, such as reciprocal, Pythagorean, periodicity, and negative angle identities. The file also includes problems on finding solutions, graphs, and proving identities.