anonymous
  • anonymous
• Provide an example of a trig function and describe how it is transformed from the standard trig function f(x) = sin x, f(x) = cos x, or f(x) = tan x
Mathematics
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anonymous
  • anonymous
• Provide an example of a trig function and describe how it is transformed from the standard trig function f(x) = sin x, f(x) = cos x, or f(x) = tan x
Mathematics
katieb
  • katieb
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welshfella
  • welshfella
an example is the sine and the cosecant
anonymous
  • anonymous
@welshfella im confused
anonymous
  • anonymous
Taking the example of Welshfella, the Cosecant function derives from the reciprocal of the Sine function. That is: \[cscx = \frac{ 1 }{ \sin x }\]

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anonymous
  • anonymous
Why is the interval important when calculating the rate of change on a trig function? @Hoslos
anonymous
  • anonymous
Similarly, the Tangent function derives from the division of sine and cosine: \[tanx = \frac{ sinx }{ \cos x }\]
anonymous
  • anonymous
That is crucial, as the result of the trig function might give a zero in the denominator, which will make the function undefined. For instance, given the above formula for Tangent, I cannot include the root 90Degrees, because \[\frac{ \sin 90 }{ \cos 90 }=\frac{ 1 }{ 0 }=undefined\] Is that understandable?

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