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Test Bank for Algebra and Trigonometry ALL Chapters/ Edition Latest Exam/ Correct Answers
Always remember to set your calculator to _____ when working with Law of Sines & Cosines - ANSWER - Degrees
Asymtope Formula for Hyperbola with Horizontal Transverse Axis - ANSWER - y-k=(plus or minus)b/a(x-h)
Asymtope Formula for Hyperbola with Vertical Transverse Axis - ANSWER - y-k=(plus or minus)a/b(x-h)
cos(u-v)= - ANSWER - cosucosv+sinusinv
cos(u+v)= - ANSWER - cosucosv-sinusinv
cos2u= (all equations) - ANSWER - cos^2u-sin^2u, 2cos^2u-1, 1-2sin^2u
How far are the foci from the center of the ellipse? - ANSWER - They are "c" away from the center
How far away are the foci from the center on a Hyperbola? - ANSWER - The Foci are "C" from the center
Law of Cosines Formula a^2=... - ANSWER - b^2+c^2-2bccosA
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pg. 2 Law of Cosines Formula b^2=... - ANSWER - a^2+c^2-2accosB
Law of Cosines Formula c^2=... - ANSWER - a^2+b^2-2abcosC
Law of Cosines Formula cosA=... - ANSWER - (b^2+c^2-a^2)/2bc
Law of Cosines Formula cosB=... - ANSWER - (a^2+c^2-b^2)/2ac
Law of Cosines Formula cosC=... - ANSWER - (a^2+b^2-c^2)/2ab
Law of Cosines is used with... - ANSWER - SSS, SAS
Law of Sines Formula (Side on Denominator) - ANSWER - sinA/a=sinB/b=sinC/c
Law of Sines Formula (Side on Numerator) - ANSWER - a/sinA=b/sinB=c/sinC
Law of Sines is used with... - ANSWER - AAS, ASA, SSA
Polar to Rectangular Conversion: x= - ANSWER - rcos(theta)
Polar to Rectangular Conversion: y= - ANSWER - rsin(theta)
Rectangular to Polar Conversion: r^2= - ANSWER - x^2+y^2
Rectangular to Polar Conversion: tan(theta)= - ANSWER - y/x
sin(u-v)= - ANSWER - sinucosv0cosusinv
sin(u+v)= - ANSWER - sinucosv+cosusinv 2 / 3
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sin2u= - ANSWER - 2sinucosu
SSA Acute: a is greater than or equal to b - ANSWER - one triangle
SSA Acute: a
SSA Acute: a=h - ANSWER - one triangle
SSA Acute: h
SSA Obtuse: a is less than or equal to b - ANSWER - no triangles
SSA Obtuse: a>b - ANSWER - one triangle
Standard Form of a Hyperbola with a Horizontal Transverse Axis - ANSWER - [(x-h)^2/a^2]-[(y- k)^2/b^2]=1
Standard Form of a Hyperbola with a Vertical Transverse Axis - ANSWER - [(y-k)^2/a^2]-[(x-h)^2/b^2]=1
Standard Form of Circle - ANSWER - (x-h)^2+(y-k)^2=r^2
Standard Form of Ellipse with a Horizontal Major Axis - ANSWER - [(x-h)^2/a^2]+[(y-k)^2/b^2]=1
Standard Form of Ellipse with a Vertical Major Axis - ANSWER - [(y-k)^2/a^2]+[(x-h)^2/b^2]=1
Standard Form of Parabola (x=y^2) - ANSWER - (y-k)^2=4p(x-h)
Standard Form of Parabola (y=x^2) - ANSWER - (x-h)^2=4p(y-k)
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SSA Acute: a=h - ANSWER - one triangle
SSA Acute: h
SSA Obtuse: a is less than or equal to b - ANSWER - no triangles
SSA Obtuse: a>b - ANSWER - one triangle
Standard Form of a Hyperbola with a Horizontal Transverse Axis - ANSWER - [(x-h)^2/a^2]-[(y- k)^2/b^2]=1
Standard Form of a Hyperbola with a Vertical Transverse Axis - ANSWER - [(y-k)^2/a^2]-[(x-h)^2/b^2]=1
Standard Form of Circle - ANSWER - (x-h)^2+(y-k)^2=r^2
Standard Form of Ellipse with a Horizontal Major Axis - ANSWER - [(x-h)^2/a^2]+[(y-k)^2/b^2]=1
Standard Form of Ellipse with a Vertical Major Axis - ANSWER - [(y-k)^2/a^2]+[(x-h)^2/b^2]=1
Standard Form of Parabola (x=y^2) - ANSWER - (y-k)^2=4p(x-h)
Standard Form of Parabola (y=x^2) - ANSWER - (x-h)^2=4p(y-k)
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SSA Obtuse: a is less than or equal to b - ANSWER - no triangles
SSA Obtuse: a>b - ANSWER - one triangle
Standard Form of a Hyperbola with a Horizontal Transverse Axis - ANSWER - [(x-h)^2/a^2]-[(y- k)^2/b^2]=1
Standard Form of a Hyperbola with a Vertical Transverse Axis - ANSWER - [(y-k)^2/a^2]-[(x-h)^2/b^2]=1
Standard Form of Circle - ANSWER - (x-h)^2+(y-k)^2=r^2
Standard Form of Ellipse with a Horizontal Major Axis - ANSWER - [(x-h)^2/a^2]+[(y-k)^2/b^2]=1
Standard Form of Ellipse with a Vertical Major Axis - ANSWER - [(y-k)^2/a^2]+[(x-h)^2/b^2]=1
Standard Form of Parabola (x=y^2) - ANSWER - (y-k)^2=4p(x-h)
Standard Form of Parabola (y=x^2) - ANSWER - (x-h)^2=4p(y-k)
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