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Use identities to find the value of each expression. 1) If sin , find cos ( 2) If tan ( ) , find cot (
9) sin sin sin 10) sin sin 11) cos sin 12) sin cos sin
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Verifying Identities. Date________________ Period____ Verify each identity. sin x + csc x. 1) = sin2 x + 1 csc x. cos x - sin2 x. 2) cot x - sin x = sin x. 1 - csc x. 3) = sin x - 1 csc x. 1 cos x. 4) = 1 + tan x cos x + sin x. 5) cot2. 1. x(1 + cot2 x) = tan2 xsin2 x.
6. Express cos83o - sec76o in terms of trigonometric ratios of angles between 0o and 45o. (1) 7. Prove the trigonometric identity:
Worksheet by Kuta Software LLC-3-Answers to Worksheet Review Trig. Identities (basic) (ID: 1) 1) tan2x - sec2x cosx Use tan2x + 1 = sec2x-1 cosx Use secx = 1 cosx-secx 2) tanx + secxDecompose into sine and cosine sinx cosx + 1 cosx Simplify 1 + sinx cosx 3) secx sin3x Use cscx = 1 sinx csc3xsecxUse secx = 1 cosx csc3x cosx
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: ...
