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The slope of sin2xsin2x at x = 30o30o is?

Question

The slope of sin2xsin2x at x = 30o30o is?

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Solution

To find the slope of the function sin2x at x = 30 degrees, we need to find its derivative first.

Step 1: Differentiate the function The derivative of sin2x is 2cos2x.

Step 2: Substitute x = 30 degrees into the derivative 2cos(230) = 2cos60 = 2(1/2) = 1.

So, the slope of sin2x at x = 30 degrees is 1.

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sin 60° cos 30° + sin 30° cos 60°

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