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What is the derivative of #f(x)=cos(pi/2-x)#?

1 Answer

Feb 22, 2017

#d/dx cos (pi/2-x) = cosx#

Explanation:

Using the trigonometric formula:

#cos(alpha-beta) = cos alpha cos beta + sin alpha sin beta#

we have:

#cos (pi/2-x) = sinx#

so:

#d/dx cos (pi/2-x) = d/dx sinx = cosx#

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