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cscott
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How can I use trig identities to let me differentiate [itex]\sin \left ( x + \frac{\pi}{2} \right)[/itex] and [itex]3 \sin x - 2 \cos x[/itex]?
Differentiating trig identities allows us to find the derivatives of trigonometric functions, which is useful in various areas of science and engineering.
An example of differentiating a trig identity is finding the derivative of sin(x):
d/dx(sin(x)) = cos(x)
The chain rule is used when differentiating composite trig identities, where the function inside the trigonometric function is a function of another variable.
Some common trig identities used in differentiation include the power rule, product rule, quotient rule, and chain rule.
Differentiating trig identities has practical applications in fields such as physics, engineering, and economics, where trigonometric functions are used to model various phenomena.