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27 KEY TERMS •Addition Identity for Cosine -cos(x+y) = cosxcosy +sinxsiny for Sine - Sin(x+y)=sinxy-cosxsiny for Tangent -tan(x+y) = 1-tanxtany Double Angle bentity for sine-sin (2x)=2 sinxcosx ● ● ● ● coo Lees for Tangent-Fan (2x)= Half Angle Identity for sine - sin (1²) = ± √1-cx for Casine- cos (2x) = cos²x-sin²x = 2cos²x-1=1-2sin ²x tant for Cosine - cos (+) = √ 1+cox 2 1+coox for Tangent - tan (=) = √ 1+ Cox Subtraction Identity for Gooine-cas(x-y)=cooxcosy + sinxsiny for Sine-sin(x-y)=sinxcosy-cosxsin y 1+tanxtany for Tangent tan (x+y) = Textn cos xsinx=3cosx. Find all solutions over the interval [0,27] cosxsinx-3cosx=0 (osx (sinx-3) =D (os X=0 x=2,³32 • COSXICOS X260 UEcosx u từ 20 CỦA 2 Củ ADDITION & SUBTRACTION IDENTITIES 1+coox 23 Even Function-a function with symmetry about the y-axis that satisfies the relationship f(x) = f(-x) •Odd Function-function with symmetry about the origin that satisfies the relationship -f(x)=f(-x) BASIC IDENTITIES svole plonaist Seet M31 1-cose sine veltokanoi Festaan tan (£) = sin e It cos(225) Cos¹ O+Sin²³¹0=1 1+tan²¹0=sec ²0 1+ cot ²0=c030 14034 sinx = tans •Ex: Sin (5x) cos(4x) +cos (5x) sin(4x) = sin (5x +4x) = sin(9x) tar (8) tan (18) •Ex: 71+ Fan (70)-tan(18) = tan (18-18) = tan (60) = √3 √2+√5₂ • Ex: cos (15) = cos(60-45) = cos 60 cos 45+ sin 60 sin 45 = =(√2) + √3 (13) = 4, 4- 14 Ex: sin 1 ( 12 ) = sin ( + + 7) = sin + cos 3 + cos #sin...
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Alternative transcript:
3 = 12 (4) + 1¹2 (13) = ¹2 + √6 - JENE DOUBLE ANGLE IDENTITY AL F SinX= 3 X Answer= 21x20, 2010 Cimaginary 2 và vớt uốt cosx=t U= It cose •If sint=-26 & it is in the 3rd Quadrant, find sin (20), cos(20), tan (20) 4 y=²7=25 336 2521 336 25² = x² = 7² x² = 576 x = I 24 (but since in 3rd Quadrant, it is -24). cos 0 = 2 & tand 24. Sin (20) =2 (23) (-2) = 1838 (03 (20) = cos ¹0-sin²0=(24) - (-2)² = 623. tan (20) = 1²-12-1² = 627 26 HALF ANGLE IDENTITIES ** Ma tan •ton (2)= + √+cos@ •Ex: cos(112.5°) = cos(225) = = √/+co t 1-√2/2 = 2- Ex: ginx=2cos(ể sinxz2Crosx sinx=2200x sinxElcosx x-cos²x²105X__C05 ²³x=cosx_cos³x-CDs x=0= coox (cosx-1)=0] cosx-cosx 2 cosx = _x=0 x=0, 포, 30. air F Alcass • 5/19 H4 22
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27 KEY TERMS •Addition Identity for Cosine -cos(x+y) = cosxcosy +sinxsiny for Sine - Sin(x+y)=sinxy-cosxsiny for Tangent -tan(x+y) = 1-tanxtany Double Angle bentity for sine-sin (2x)=2 sinxcosx ● ● ● ● coo Lees for Tangent-Fan (2x)= Half Angle Identity for sine - sin (1²) = ± √1-cx for Casine- cos (2x) = cos²x-sin²x = 2cos²x-1=1-2sin ²x tant for Cosine - cos (+) = √ 1+cox 2 1+coox for Tangent - tan (=) = √ 1+ Cox Subtraction Identity for Gooine-cas(x-y)=cooxcosy + sinxsiny for Sine-sin(x-y)=sinxcosy-cosxsin y 1+tanxtany for Tangent tan (x+y) = Textn cos xsinx=3cosx. Find all solutions over the interval [0,27] cosxsinx-3cosx=0 (osx (sinx-3) =D (os X=0 x=2,³32 • COSXICOS X260 UEcosx u từ 20 CỦA 2 Củ ADDITION & SUBTRACTION IDENTITIES 1+coox 23 Even Function-a function with symmetry about the y-axis that satisfies the relationship f(x) = f(-x) •Odd Function-function with symmetry about the origin that satisfies the relationship -f(x)=f(-x) BASIC IDENTITIES svole plonaist Seet M31 1-cose sine veltokanoi Festaan tan (£) = sin e It cos(225) Cos¹ O+Sin²³¹0=1 1+tan²¹0=sec ²0 1+ cot ²0=c030 14034 sinx = tans •Ex: Sin (5x) cos(4x) +cos (5x) sin(4x) = sin (5x +4x) = sin(9x) tar (8) tan (18) •Ex: 71+ Fan (70)-tan(18) = tan (18-18) = tan (60) = √3 √2+√5₂ • Ex: cos (15) = cos(60-45) = cos 60 cos 45+ sin 60 sin 45 = =(√2) + √3 (13) = 4, 4- 14 Ex: sin 1 ( 12 ) = sin ( + + 7) = sin + cos 3 + cos #sin...
27 KEY TERMS •Addition Identity for Cosine -cos(x+y) = cosxcosy +sinxsiny for Sine - Sin(x+y)=sinxy-cosxsiny for Tangent -tan(x+y) = 1-tanxtany Double Angle bentity for sine-sin (2x)=2 sinxcosx ● ● ● ● coo Lees for Tangent-Fan (2x)= Half Angle Identity for sine - sin (1²) = ± √1-cx for Casine- cos (2x) = cos²x-sin²x = 2cos²x-1=1-2sin ²x tant for Cosine - cos (+) = √ 1+cox 2 1+coox for Tangent - tan (=) = √ 1+ Cox Subtraction Identity for Gooine-cas(x-y)=cooxcosy + sinxsiny for Sine-sin(x-y)=sinxcosy-cosxsin y 1+tanxtany for Tangent tan (x+y) = Textn cos xsinx=3cosx. Find all solutions over the interval [0,27] cosxsinx-3cosx=0 (osx (sinx-3) =D (os X=0 x=2,³32 • COSXICOS X260 UEcosx u từ 20 CỦA 2 Củ ADDITION & SUBTRACTION IDENTITIES 1+coox 23 Even Function-a function with symmetry about the y-axis that satisfies the relationship f(x) = f(-x) •Odd Function-function with symmetry about the origin that satisfies the relationship -f(x)=f(-x) BASIC IDENTITIES svole plonaist Seet M31 1-cose sine veltokanoi Festaan tan (£) = sin e It cos(225) Cos¹ O+Sin²³¹0=1 1+tan²¹0=sec ²0 1+ cot ²0=c030 14034 sinx = tans •Ex: Sin (5x) cos(4x) +cos (5x) sin(4x) = sin (5x +4x) = sin(9x) tar (8) tan (18) •Ex: 71+ Fan (70)-tan(18) = tan (18-18) = tan (60) = √3 √2+√5₂ • Ex: cos (15) = cos(60-45) = cos 60 cos 45+ sin 60 sin 45 = =(√2) + √3 (13) = 4, 4- 14 Ex: sin 1 ( 12 ) = sin ( + + 7) = sin + cos 3 + cos #sin...
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Knowunity was a featured story by Apple and has consistently topped the app store charts within the education category in Germany, Italy, Poland, Switzerland and United Kingdom. Join Knowunity today and help millions of students around the world.
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iOS User
I love this app so much [...] I recommend Knowunity to everyone!!! I went from a C to an A with it :D
Stefan S, iOS User
The application is very simple and well designed. So far I have found what I was looking for :D
SuSSan, iOS User
Love this App ❤️, I use it basically all the time whenever I'm studying
Alternative transcript:
3 = 12 (4) + 1¹2 (13) = ¹2 + √6 - JENE DOUBLE ANGLE IDENTITY AL F SinX= 3 X Answer= 21x20, 2010 Cimaginary 2 và vớt uốt cosx=t U= It cose •If sint=-26 & it is in the 3rd Quadrant, find sin (20), cos(20), tan (20) 4 y=²7=25 336 2521 336 25² = x² = 7² x² = 576 x = I 24 (but since in 3rd Quadrant, it is -24). cos 0 = 2 & tand 24. Sin (20) =2 (23) (-2) = 1838 (03 (20) = cos ¹0-sin²0=(24) - (-2)² = 623. tan (20) = 1²-12-1² = 627 26 HALF ANGLE IDENTITIES ** Ma tan •ton (2)= + √+cos@ •Ex: cos(112.5°) = cos(225) = = √/+co t 1-√2/2 = 2- Ex: ginx=2cos(ể sinxz2Crosx sinx=2200x sinxElcosx x-cos²x²105X__C05 ²³x=cosx_cos³x-CDs x=0= coox (cosx-1)=0] cosx-cosx 2 cosx = _x=0 x=0, 포, 30. air F Alcass • 5/19 H4 22