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3 years ago

I am not quite sure how to do these.

Mathematics

1 answer:

EleoNora [17]3 years ago

6 0

Sin (Π/2 - theta) = sin(Π/2) * cos(theta) - cos(Π/2) * sin (theta)
and as we know sin(Π/2) =1 , cos(Π/2)=0
so sin(Π/2 - theta) = 1* cos(theta) - 0* sin(theta)= cos(theta)
2nd cos(180+ theta) = cos(180)*cos(theta) - sin(180)* sin(theta)
,,, so , cos(180+theta) = -cos(theta)

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CaHeK987 [17]

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Reflection over the y-axis and rotation of 180°

Step-by-step explanation:

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svet-max [94.6K]

Answer:

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Step-by-step explanation:

we know that

A regular polygon has equal length sides and equal interior angles

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Find the measure of the interior angle

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The interior angle plus the exterior angle must be equal to 180 degrees (form a linear pair)

Let

x ----> the measure of each interior angle in the regular polygon

$x+40^o=180^o$

solve for x

$x=180^o-40^o=140^o$

step 2

Find the number of sides of the regular polygon

we know that

The measure of each interior angle in a regular polygon is given by the formula

$x=\frac{(n-2)180^o}{n}$

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n is the number of sides of the polygon

substitute the given values

$140^o=\frac{(n-2)180^o}{n}$

solve for n

$140n=180n-360\\180n-140n=360\\40n=360\\n=9\ sides$

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