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[DOC File]Trigonometric Relationships and Identities
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Reciprocal Identities. csc t = 1 sin t. sec t = 1 cos t. cot t = 1 tan t. Even Trigonometric Functions. cos (– t) = cos t
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[DOC File]Trigonometry
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Sep 24, 2009 · “Things that I need to know” sine sin cosine cos tangent tan cosecant csc secant sec cotangent cot 1. S. oh. C. ah. T. oa . 2. A. ll . S. tudents
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[DOC File]PreCalc D - Trigonometry Worksheet
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25) sin < 0 and cos < 0 26) sec > 0 and cot < 0. 27) sin > 0 and cos < 0 28) csc < 0 and tan > 0 Evaluate the following trigonometric functions: 29) If sin = 1/2, then cos = ? 30) If sin = 1/3, then tan = ? 31) If cos = 4/5, then cot = ? 32) If sec = 13/5, then csc = ? 33) If cot = 15/8, then sec = ? 34) tan = 1/2, sin = ?
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[DOC File]TRIGONOMETRY
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Radian Measure Degree Measure 330( 450( (135( 240( Sin Cos Tan Cot Sec Csc Radian Measure Degree Measure 540( 150( (210( 270( Sin Cos Tan Cot Sec Csc Answers
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[DOC File]Ex
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Ex. Trigonometric functions with angle nx (sin 5x)′ = (cos 5x)(5x)′ = (cos 5x)∙5 = 5 cos(5x) (csc 4x)′ = (−csc 4x cot 4x)(4x)′ = −4 csc(4x) cot(4x)
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[DOC File]6.2 TRIG FUNCTIONS -- UNIT CIRCLE
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sin θ = csc θ = cos θ = sec θ = tan θ = cot θ = NOTE: If θ is on the unit circle, then r = 1 so sinθ=b, cosθ = a, and tanθ=b/a! THIS IS ONLY TRUE on the unit circle! If the point is not on the unit circle, then r ≠ 1 so we must use the general Theorem above. We will see examples of this in section 2.4.
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AAT 5 - Troup County
θ sin θ cos θ tan θ csc θ sec θ cot θ 30° 45° 60° Look at the values that are the same in this chart. Do you notice a pattern? Example: Evaluate the following expressions w/o a calculator. a. cos 30° sec 30° b. (sin 60°)2 + (cos 60°)2. c. sin 45° cos 45° c. C. Pythagorean Theorem. a2 + b2 = c2. B. a. b. hypotenuseuse. legs
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[DOC File]T R I G O N O M E T R I A - Aula Abierta de Matemáticas
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Coseno del ángulo en A ( cos ( A ) ): Cociente entre las longitudes del cateto adyacente al ángulo en A y de la hipotenusa: ... sec 2 ( A ) = 1 + tg 2 ( A ) ( cos ( A ) (0 ) csc 2 ( A ) = 1 + ctg 2 ( A ) ( sen ( A ) (0 ) sen ( 2 A ) = 2 sen ( A ) cos ( A ) sen ( 3 A ) = 3 sen ( A ) – 4 sen 3 ( A ) sen ( 4 A ) = 4 sen ( A ) cos …
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[DOC File]Notes – Trigonometry
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tan 45º 17. cos 60º. 18. sin 60º 19. cos 45º 20. tan 30º 21. sin 30º. More Trigonometric Ratios. The cosine, sine and tangent ratios are defined in terms of the lengths of the sides of a right triangle. Three other ratios are the . secant, the . cosecant. and the . cotangent. ratios. The ratios are abbreviated as sec, csc, cot. sec A ...
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[DOC File]Honors PreCalculus – Simplifying Trig Expressions Worksheet
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1. 2. 3. sec x tan x cos x. 4. sin2 x cot x csc x. 5. 6. 7. tan2 x (csc2 x – 1) 8. 9. 10. 11. cos x (sec x – cos x) 12. cot x (tan x + cot x)
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Cos to csc