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Harman [31]
3 years ago
11

If sec theta = 2,find 4 cos theta-root 3 sin theta/tan theta

Mathematics
1 answer:
creativ13 [48]3 years ago
4 0
Cos theta = 1  /sec theta  so  cos theta = 1/2

and 4 cos theta = 4 * 1/2 = 2

sin theta  = sqrt ( 1 - cos^2 theta) = sqrt 1 - 1/4) =   sqrt (3/4) =   sqrt3/2

root 3 sin theta  =  3/2

tan theta = sin theta / cos theta =  sqrt3 / 2 / 1/2  = 2*sqrt3/ 2 = sqrt3

so the answer is    2 -  3/2  / sqrt3  =  1/2 / sqrt3  =  sqrt3 / 6
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y = mx + b
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use either of ur points (5,465)...x = 5 and y = 465
now we sub and find b, the y int
465 = 80(5) + b
465 = 400 + b
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equation is : y = 80x + 65...but we need it in standard form
y = 80x + 65
-80x + y = 65...multiply by -1 to make x positive
80x - y = -65 <== standard form
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function notation.....f(x) is the same as y

so y = 80x + 65 in function notation becomes f(x) = 80x + 65
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x axis will be days rented
y axis will be total cost

to graph :
y = 80x + 65.....the slope here is 80...the y int is (0,65)

to find the x int, sub in 0 for y and solve for x
0 = 80x + 65
-80x = 65
x = - 65/80 = - 13/16....so ur x int is (-13/16,0)

and if u need to find more points on ur line....
80x - y = -65....sub in any number for x, and solve for y
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