Below, you have been provided with the first quadrant of the unit circle. Describe how to construct the other three quadrants. In your description you should include the following: All radians Each coordinate (x, y) A sketch and/or table can be used to support your answer in addition to your description.

Q: The angle below measures 5.6 radians, and the circle centered at the angle's vertex has a radius 2.1…

A: Coordinates of (x,y) are given by: x = a+ r cos∅ y = b + r sin∅

Q: Juan works in a tower overlooking the ocean. From a point on his tower at 200 feet above water…

A: Referring to the above figure. Let AC be the tower and Juan be at point A and let the initial…

Q: A light truck with manual transmission has a circular brake drum with a diameter of d = 310…

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A: Consider the given angle.

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Q: explicitly indicated, assume that radian measure is used.) cm cm? 14 Need Help?

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Q: Consider circle A with radius 1 unit. A 1 unit If 0 = 60°, what is the length, in radians, of arc…

A: Given:- radius of the circle,= 1 unit  Angle= 60°  Find lenght of arc.

Q: the distance, in feet, from the base of the conveyor belt to the building

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Q: Circle O shown below has an arc of length 7 inches subtended by an angle of 44°. Find the length of…

A: Given that,    Circle O has an arc of length 7 inches subtended by an angle 44°. We have to find the…

Q: The following information refers to triangle ABC. Find all missing parts using The Law of Sines: C=…

A:

Q: Suppose that (7/25, y) is a point in Quadrant IV lying on the unit circle. Find y. Write the exact…

A:

Q: Circle O shown below has a radius of 7 inches. Find, to the.nearest tenth, the radian measure of the…

A: We will use concept of circumference of circle.

Q: Find the radian measure of the angle with the given degree measure. Round your answer to three…

A:

Q: Find the radian measure of the central angel of a circle of radius r=120 inches that intercepts an…

A:

Q: A movie screen is 6 meters high and 3 meters above the ground. Find the angle a (in radians to the…

A: To find- Angle a in radians.

Q: If I told you that the measure of a radian differs depending on the length of the radius of the…

A:

Q: This problem refers to the unit circle in the figure below. The point P corresponds to an angle of t…

A: Given that the point P lies on second quadrant

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Q: ind the radian measure of the central angle of a circle of radius r​ =120 inches that intercepts an…

A: It is given that r​ =120 inches and s​ =140 inches.

Q: 3. If the radius of the circle were 2, would that change the value of the sin, cos, tangent for each…

A: Let us write the reasons of the circle based problem in the next step.

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Q: If you started 1 mile to the right of your original position, how far would you c) have to travel…

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Q: Sheila is cutting a sector out of a circle with area 42 cm2.  She wants the sector to have a central…

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Q: Q 11: Determine the measure of the central angle that is formed by and arc length of 5 cm in a…

A: Solution: Given, Arc length(s) = 5 cm            Radius(r) = 2.5 cm Now, We know that arc length(s)…

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A:

Q: Solve the following problem. Be sure to make a diagram of the situation with all the given…

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Q: To convert a radian measurement to a degree measurement, you multiply by and divide by Note: If…

A: We have to fill

Q: Complete the following table. Remember that 180° = T radians. Angle (degrees) 36° 45° 60° Angle…

A:

Q: (c) 4°

A: Given4°

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A: radius of circle is 6 units..

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Q: 4. The following diagram shows part of a circle with centre O and radius 4 cm. 4 cm B. 5 cm Chord AB…

A: We have to find area

Q: Convert 25° to radians. I know that r is 180° but I don't know what to do next.

A: Degree to radian

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A:

Q: A light truck with manual transmission has a circular brake drum with a diameter of d = 310…

A: The perimeter of the arc subtending an angle θ is, P = 2πr×θ360°. we have been given r and p and we…

Q: If csc(0) > 0, in which quadrants could 0 lie? Separate multiple answers with a comma. Provide your…

A: First draw the graph of cos theta.  Then it is clearly there.. Cos theta is positive in 1st and 4th…

Q: List a value of X in quadrant ii that makes csc(x)=2 . Explain how you got your answer.

A:

Q: To convert a degree measurement to a radian measurement, you multiply by and divide by Note: If you…

A: According to the question, we need to convert a degree measurement to a radian measurement.    The…

Q: Suppose x = 6, 0 = 4 radians and ø 8 radians in the figure, which is not drawn to scale. Determine…

A: x =6 θ = π/4 so apply trigonometric function tanθ = y/x y = xtan(π/4) y = x y =6 for right angle…

Q: Suppose that y is a point in Quadrant IV lying on the unit circle. Find y. Write the exact value,…

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Q: Circle O shown below has a radius of 11 inches. Find, to the nearest tenth of a degree, the measure…

A: Answer is given by using formula for arc measure as follows :

Q: Find the angle, 0, measured in radians, when r = 14 and %3D the arc length is 26.5. [? ]radians

A:

Q: What's the answer to this problem?  Convert the degree measure to radians. Write the exact answer.…

A:

Q: Circle O shown below has a radius of 5 inches. Find, to the nearest tenth of a degree, the measure…

A: our objective is to find x

Ratios

A ratio is a comparison between two numbers of the same kind. It represents how many times one number contains another. It also represents how small or large one number is compared to the other.

Trigonometric Ratios

Trigonometric ratios give values of trigonometric functions. It always deals with triangles that have one angle measuring 90 degrees. These triangles are right-angled. We take the ratio of sides of these triangles.