Derivatives of Trig Functions

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Presentation transcript:

Derivatives of Trig Functions London Bridge, Lake Havasu City, Arizona

Consider the function slope We could make a graph of the slope: Now we connect the dots! The resulting curve is a cosine curve.

We can do the same thing for slope The resulting curve is a sine curve that has been reflected about the x-axis.

We can find the derivative of tangent x by using the quotient rule.

Derivatives of the remaining trig functions can be determined the same way. p

Proof that derivative of sin(x)= cos(x) Using the definition of the derivative Formulas needed in proof sin (a+b) = sin a cos b + cos a sin b