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yaroslaw [1]
3 years ago
7

Simplify the expression: sinx+cosx/sinxcosx

Mathematics
1 answer:
Keith_Richards [23]3 years ago
6 0
Sin x + \frac{cos x}{sinx cosx}
= sinx + \frac{1}{sin x}
=sin^{2}x +1
=cos^{2} x 
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Find the dimensions of the shaded region so that its area is maximized.<br> x=<br> y=
musickatia [10]
1.  Find the equation of the line AB.  For reference, the answer is y=(-2/3)x+2.
2.  Derive a formula for the area of the shaded rectange.  It is A=xy (where x is the length and y is the height).
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This results in   (dA/dx) = (-4/3)x + 2.
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(dA/dx) = (-4/3)x + 2=0, or (4/3)x=2   This results in x=(3/4)(2)=3/2

6.  Verify that this critical value x=3/2 does indeed maximize the area function.
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The result is the max. area of the shaded rectangle.
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Review
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