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3 years ago

Cot²3x - 3cot3x +2 = 0 cotx = t what equation for t

Mathematics

1 answer:

kumpel [21]3 years ago

6 0

Answer:

Step-by-step explanation:

cot²(3x)=y

y²-3y+2=0

y²-y-2y+2=0

y(y-1)-2(y-1)=0

(y-1)(y-2)=0

y=1,y=2

cot3x=1

tan 3x=1=tan (π/4)=tan (nπ+π/4)

3x=nπ+π/4=(4nπ+π)/4=(4n+1)π/4

x=(4nπ+1)π/12,n is an integer.

cot 3x=2

tan 3x=1/2

3x=tan^{-1}(1/2)≈26.57°+360n

x≈8.86°+120n

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The formula for calculate the area of a square is:

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Where "s" is the side length of the square:

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$A=lw$

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Based on the information provided, you know the sum of the areas of the square land and the adjacent land is 600 m². This is:

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Since the lenght of the adjacent land and the side lenght of his actual land are equal:

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