3 years ago

You construct a tangent to circle O at point X on the circle, as shown below. What do you expect to be the measure of ∠OXY?

Mathematics

1 answer:

Misha Larkins [42]3 years ago

8 0

Answer: 90 Degrees :)

Step-by-step explanation:

Ur Welcome ;)

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For each angle θ listed below, find the reference angle α, and then find sin θ. Round sin θ to four decimal places, if necessary

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Answer with explanation:

It is given that

$\rightarrow\Theta =132^{\circ}$

The Angle lies in Second Quadrant.

Formula to find reference Angle

→If Angle lies in first Quadrant

then Reference Angle = The Angle given

→If Angle lies in Second Quadrant

Then Reference Angle = 180° - Angle

→If Angle lies in third Quadrant

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→If Angle lies in fourth Quadrant

Then Reference Angle = 360° -Angle

Reference Angle

$=180^{\circ}-132^{\circ}\\\\=48^{\circ}$

⇒sin 48°=0.7431448

Rounding to four decimal places

Sin 48°=0.7432

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