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Title: Trig_Cheat_Sheet Author: ptdaw Created Date: 11/2/2022 7:09:02 AM
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24. tan( + ) = tan +tan 1 tan tan 25. tan( ) = tan tan 1+tan tan Double Angle and Half Angle Formulas 26. sin(2 ) = 2 sin cos 27. cos(2 ) = cos2 sin2 28. tan(2 ) = 2 tan 1 2tan 29. sin 2 = r 1 cos 2 30. cos 2 = r 1+cos 2 31. tan 2 = 1 cos sin = sin 1 cos 32. tan 2 = r 1+cos 1 cos Other Useful Trig Formulas Law of sines 33. sin = sin = sin Law ...
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Symbolab Trigonometry Cheat Sheet Basic Identities: (tan )=sin(𝑥) cos(𝑥) (tan )= 1 cot(𝑥) (cot )= 1 tan(𝑥)) cot( )=cos(𝑥) sin(𝑥) sec( )= 1 cos(𝑥) csc( = 1 sin(𝑥) Pythagorean Identities (cos 2 )+sin( )=1 2sec( )−tan2( )=1 2csc( )−cot2( )=1 Double Angle Identities
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tan 2𝜃+1=sec𝜃 1+cot2𝜃=csc2𝜃 Even/Odd Formulas: sin(−𝜃)=−sin𝜃 cos(−𝜃)=cos𝜃 tan(−𝜃)=−tan𝜃 csc(−𝜃)=−csc𝜃 sec(−𝜃)=sec𝜃 cot(−𝜃)=−cot𝜃 Cofunction Formulas: sin @ 𝜋 2 −𝜃 A=cos𝜃 csc @ 𝜋 2 −𝜃 A=sec𝜃 tan @ 𝜋 2 −𝜃 A=cot𝜃 cos @ 𝜋 2 −𝜃 A=sin𝜃 sec ...
FORMULA SHEET Trigonometric Functions and Identities sin2 x+cos2 x = 1 1+tan2 x = sec2 x 1+cot2 x = csc2 x sin(x+y) = sinxcosy +sinycosx cos(x+y) = cosxcosy −sinxsiny Single-Variable Integrals (the constants are omitted) Z xn dx = xn+1 n+1 (n 6= −1) Z 1 x dx = ln|x| Z eax dx = eax a Z sinxdx = −cosx Z cosxdx = sinx Z sec2 xdx = tanx Z − ...
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Properties of Tan Graph • The tangent function h(x)=tanx is undefined at x = {(2k + 1)π 2 | k ∈ Z} (this is where cosx =0). The graph has vertical asymptotes at these x-values, which are usually indicated by dotted or dashed vertical lines. • The tangent function repeats itself after an interval of π units. That is:
