An equation of the line tangent to y=sin x + 2cosx at (pi/2, 1) is?

a. 2x - y = pi -1
b. 2x + y = pi + 1
c. 4x + 2y = 2 - pi

show work! : )

B.   2x + y = pi + 1.

Step-by-step explanation:

y = sin x + 2 cos x

The slope of a line tangent is the derivative, so:

y' =  cos x - 2 sin x

At  (pi/2, 1) , substituting for x:-

cos pi/2 - 2 sin pi/2

= 0 - 2 * 1 = -2.

So the slope is - 2 and an equation  can be found by using the point-slope formula:

y - y1 = m(x - x1) so:

y - 1 = -2(x - pi/2)

y = -2x + pi + 1  

2x + y = pi + 1.

answer: 230 miles ( vote ! )

step-by-step explanation:

180.39 minus 17.99 equals 162.4

then divide 162.4 by .80 to get 230

answer rather than having to add and subtract the measurements of the semi-circle, notice that the semicircle to the left of ad is actually identical in area to the blank semicircle-shaped space to the left of bc. so if we transferred the red semicircle into the blank space, we would end up with a square of side length 24 cm. the area of a square is s^2 = 24^2 = 676 cm^2.

u also answered this so i think u would know but i am here to

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