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soldier1979 [14.2K]
2 years ago
7

Question is in the photo​

Mathematics
1 answer:
blagie [28]2 years ago
4 0

9514 1404 393

Answer:

  ∠D = 68°

Step-by-step explanation:

In a quadrilateral that is inscribed in a circle, opposite angles are supplementary.

  ∠D = 180° - ∠B

  ∠D = 180° -112°

  ∠D = 68°

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On the unit circle, which of the following angles has the terminal point coordinates (√2/2,-√2/2)
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Answer:

Option B

Step-by-step explanation:

A unit circle means radius of the circle = 1 unit

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Center of the circle is origin (0, 0).

Therefore, ordered pair representing the terminal point will be (OP×Cosθ, OP×Sinθ) = (\frac{\sqrt{2} }{2},-\frac{\sqrt{2} }{2})

OP.Cosθ = 1×Cosθ = \frac{1}{\sqrt{2}}

Cosθ = \frac{1}{\sqrt{2}}

θ = \frac{\pi }{4}+2\pi n,  \frac{7\pi }{4}+2\pi n where n = integers

Similarly, OP×Sinθ = 1×Sinθ = -\frac{1}{\sqrt{2}}

Sinθ = -\frac{1}{\sqrt{2} }

θ = \frac{5\pi }{4}+2\pi n,  \frac{7\pi }{4}+2\pi n where n = integer

Common value of θ will be, θ = \frac{7\pi }{4}

Option B will be the answer.

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3 years ago
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Step-by-step explanation:

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