Flashcards
Trig functions and Modelling
Cards in this deck (15)
- 1Give equation or sec, cosec, and 2 cotSec = 1/cos
Cosec = 1/sin
Cot = 1/tan = cos/sin - 2Describe the graph of sec xSymmetry in the y axis, period of 360 degrees, vertical asymptotes at values for x where cos x = 0
- 3What is the domain and range for sec xDomain is all real values of x where x isn’t 90, 270, 450 or any odd multiples of 90. Range is y amaller than or equal to -1 or largher than or equal to 1
- 4Describe the graph of cosec xPeriod of 360, vertical asymptotes at all values of x where sinA = 0
- 5What is the domain and range of the cosec x graphDomain is all values of x apart multiples of 180 the range is y is larger or equal to 1 or smaller or equal to -1
- 6Describe the graph of cot xPeriod of 180, verticals asymptotes at all values when tan x = 0
- 7What is the domain and range of the cot x graphDomain is all values of x where x isn’t any multiple of 180,range is all real values of y
- 8Describe the inverse function of sinxArcsin x, where the domain is x between or equal to -1 and 1 and the range is between or equal to -90 and 90
- 9Describe the inverse function of cos xArccos x, domain is on or between x -1 to 1, range is when y is on or between 0 & 180
- 10Describe the inverse function of tan xArctan x, domain is all real values of x, range is when y is between or on -90 to 90
- 11What is the sin double angle formulaSin 2A = 2sinAcosA
- 12What is the cos double angle formulaCos2A = cos^2A - sin^2A = 2cos^2A -1 = 1-2sin^2A
- 13What is the tan double angle formulaTan2A = 2tanA / 1-tan^2A
- 14For all positive values of A and B how can a sinx + b cosx and a sinx - b cosx be expressedR sin (x + y)
R sin (x - y)
Where R is bigger than zero and y is between 0 and 90, and where R cosy = a and Rsiny = b and R = root( a^2 + b^2) - 15For all positive values of a and b how can a cosx + b sinx and a cosx - b sinx be exp[ressedR cos (x - y)
R cos (x + y)
Where R is bigger than zero and y is between 0 and 90, and where R cosy = a and Rsiny = b and R = root( a^2 + b^2)
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- A level Maths A-level (Year 2 Pure) Flashcards on Trig functions and Modelling, created by lizabeth rawson on 02/06/2022.
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- lizabeth rawson
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