Some needed trig identities:
Trig Derivatives Graph y 1 = sin x and y 2 = nderiv (sin x) What do you notice?
Proof Algebraically (use trig identity for sin(x + h))
Proof Algebraically 0 1
Trig Derivatives Graph y 1 = cos x and y 2 = nderiv (cos x) What do you notice?
Proof Algebraically (use trig identity for cos(x + h))
Proof Algebraically 0 1
Other Trig Derivatives (quotient rule) (trig id cos 2 x + sin 2 x = 1)
Other Trig Derivatives (quotient rule)
Other Trig Derivatives (quotient rule)
Other Trig Derivatives (quotient rule)
Example Find an equation of the tangent line to the function f(x) = sec x at the point (slope)
Example Find the second derivative of y = csc x. (Product rule)