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3 years ago

Evaluate cos(tan^-1 0)

Mathematics

1 answer:

patriot [66]3 years ago

7 0

Cos (tan^-1 0)
cos ( 0 )
1

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ASHA 777 [7]

Answer:

(-6,4)

Step-by-step explanation:

The equations are:

$x^2+4y^2=100\\4y-x^2=-20$

Solving for x^2 of the 2nd equation and putting that in place of x^2 in the 2nd equation we have:

$4y-x^2=-20\\x^2=4y+20\\-------\\x^2+4y^2=100\\4y+20+4y^2=100$

Now we can solve for y:

$4y+20+4y^2=100\\4y^2+4y-80=0\\y^2+y-20=0\\(y+5)(y-4)=0\\y=4,-5$

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we see that (-6,4) falls in the 2nd quadrant, thus this is the solution we are looking for.

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