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Naddik [55]
4 years ago
5

Use a special triangle on the unit circle to determine the value of tan π/6.

Mathematics
1 answer:
NeTakaya4 years ago
8 0

Answer:

  D)  √3/3

Step-by-step explanation:

The coordinates of the point at the angle π/6 are shown as (√3/2, 1/2). The tangent of the angle is the ratio of the y-coordinate to the x-coordinate:

  tan(π/6) = (1/2)/((√3)/2) = 1/√3 = (√3)/3 . . . . matches choice D

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Answer:

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Step-by-step explanation:

Given

Ship A is sailing east at 25 km/h = \frac{dx}{dt}

ship B is sailing north at 20 km/h =\frac{dy}{dt}

here x and y are the  sailing at t = 4 : 00 pm for ship A and B respectively

so we get x = 4 ×25 =100 km/h

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let z is the distance between the ships, we need to find \frac{dz}{dt} at t = 4 hr

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so equation will be

z^2 = (130-x)^2 + y^2......................(i)\\put x = 100 and y = 80 \\\\we |  | get \\

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derivative first equation w . r. to t we get

2z\frac{dz}{dt} =-2(130-x)\frac{dx}{dt}+2y\frac{dy}{dt}

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\frac{dz}{dt} = \frac{( -20\times25 + 80\times20)}{\sqrt{7300} }

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8 0
3 years ago
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