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elixir [45]
3 years ago
8

For the plane curve defined by x = 7 cos t, y = 5 cos t, for t in [0, 2π​] the ordered pair that corresponds to t = π/6 is ___

Mathematics
1 answer:
Allushta [10]3 years ago
4 0

Answer:

The ordered pair is: (\frac{7\sqrt{3}}{2},\frac{5\sqrt{3}}{2})

Step-by-step explanation:

We are given the following plane curve:

x = 7 \cos{t}

y = 5 \cos{t}

Ordered pair for a value of t:

We find (x,y) for these values of t. So, when t = \frac{\pi}{6}

x = 7 \cos{\frac{\pi}{6}} = 7\frac{\sqrt{3}}{2} = \frac{7\sqrt{3}}{2}

y = 5 \cos{\frac{\pi}{6}} = 5\frac{\sqrt{3}}{2} = \frac{5\sqrt{3}}{2}

The ordered pair is: (\frac{7\sqrt{3}}{2},\frac{5\sqrt{3}}{2})

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