First we use sin(a+b)= sinacosb+sinbcosa
and cos(a+b)=cosa cosb -sinasinb
tan(x+pi/2)= sin(x+pi/2) / cos(x+pi/2)
and sin(x+pi/2) = sinxcospi/2 + sinpi/2cosx =cosx,
<span>cos(x+pi/2) = cosxcospi/2- sinxsinpi/2= - sinx,
</span> because <span>cospi/2 =0, </span>and <span>sinpi/2=1
</span><span>=tan(x+pi/2)= sin(x+pi/2) / cos(x+pi/2)= cosx / -sinx = -1/tanx = -cotx
</span>from where <span>tan(x+pi/2)=-cotx</span>
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Answer:
46.2 square inches
Step-by-step explanation:
A parallelogram is a quadrilateral (4 sided closed figure) with 2 pair of parallel sides.
The diagram shown is a parallelogram.
Top and Bottom are parallel lines,
both sides are parallel lines (left and right).
The area for a parallelogram is given by:
Area = Base * Height
In the given figure, the base is clearly given as 4.2 inches
The height (perpendicular distance from base) is given as 11 inches.
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<em><u>So, basically we do not need the 11.7 inches length of side given.</u></em>
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Now, lets compute the area:
Area = base * height = 4.2 * 11 = 46.2 square inches
2500 pounds x 1000 days
250,000 pounds is how much the elephant eats in 1,000 days.