If you are given the coordinates where the terminal side of an angle intersects with the unit circle, how could you use those coordinates to find the corresponding tangent ratio?

Q: The cross section of a rivet has a top that is an arc of a circle. If the ends of the arc are 11 mm…

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Q: Find the radian measure of the central angle of a circle of radius r =6 yard that intercepts an arc…

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Q: In a circle of radius 7 miles, the length of the arc that subtends a central angle of 2 radians is

A: Topic:- geometry

Q: Describe what happens to the tangent of an acute angle as the angle gets close to 90°.

A: As the angle gets close to 90°, then the adjacent becomes almost 0.

Q: Find the length of an arc that subtends a central angle of 45° in a circle of radius 13 m. Round…

A: Given: radius=13m  central angle=45∘

Q: Suppose you have three concentric circles and are looking at the arc lengths of a 80° angle of…

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Q: If the length of arc of a circle of radius 2/3 feet is 14 feet. then the central angle 0 is:

A: Given Radius of circle (r)=23feet & Length of arc (s)=14 feet To find central angle θ:

Q: Find the length of a circular arc with a radius 12 centimeters sub tended by the central angle of 30…

A: To find the length of a circular arc.

Q: Find the length s of the arc of a circle of radius 50 miles subtended by the central angle 63°

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Q: Two tangents of a circle meet to form an angle of 60 degrees. The smaller arc between them is 120…

A: The question mentions that two tangents to a circle meet to form an angle of 60°. Now, we know that…

Q: For a circle of radius 4 feet, find the arc length s subtended by a central angle of 60°. Round to…

A: Given:  The radius of a circle: 4 feet. The central angle = 60o

Q: Find the approximate value of the smaller angle formed between the liney = of the x-axis. Give the…

A: here we have to find the smaller angle formed between the line y=712x and the positive pat of the…

Q: If the length of an arc of a circle of radius 7 is approximately 10.99 cm. What is the measure of…

A: Topic = Circle

Q: If the tangent of an angle x is 3/4, find the value of the cosine of 2x

A: Let's find.

Q: Find the length of the arc of a circle of diameter 10meters subtended by a central angle of π/4…

A: Given:  Diameter =10meters  Central angle = π4 radians To find- length of arc of a circle.

Q: Find the radian measure of the central angle of a circle of radius r =8 yard that intercepts an arc…

A: r= 8 yard ,  S= 18 yard find central angle of a circle

Q: In a certain right triangle, the two sides that are perpendicular to each other are 4.40 m and 6.20…

A: for a triangle, two sides are perpendicular to each other which means the triangle is right angle…

Q: Find the length of the arc of a circle of diameter 10 meters subtended by a central angle of π/4…

A: Given is the diameter of circle as 10 m, central angle is π4 radians. It is required to find the…

Q: In a circle of radius 4 inches, the length of the arc subtended by a central angle of 120° is…

A: Explained below

Q: The tangent of an angle is ____ greater than 1 .

A: We have to find at what angle the tangent greater than 1.

Q: If the terminal side of angle 0 is in the first quadrant and sin(0) = , what is the exact measure of…

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Q: For the circles described and shown, how many common tangents do they possess? a) Internally tangent…

A: For the circles described and shown, to determine the number of common tangents.

Q: Find the length s of the arc that subtends a central angle ofmeasure 40 in a circle of radius 12 m.

A: The circle is set of points which are equidistant from a point which is called center of circle. The…

Q: An airplane is flying at an altitude of 6000 m over the ocean directly toward a coastline. At a…

A: Form the right triangle and use trigonometric ratios.

Q: Consider an angle of 1.4 radians with its vertex at the center of a circle of radius 9 units. What…

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Q: Find the length of the arc of the circle of diameter 8 meters subtended by a central angle of pi/5…

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Q: The legs of a right triangle have lengths 5 and 12. What is the tangent of the angle opposite the…

A: The figure is drawn below

Q: find the length of the arc on a circle of radius r intercepted by a central angle 0.  r=2 inches,…

A: Given: Radius is, r = 2 in. Central angle is, θ=120°.   Length of the arc is given by, L=2πrθ360

Q: Apply the tangent ratio to determine the length of the leg. 11) Meryl is standing 100.5 feet from…

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Q: A photographer frames a carousel in her camera shot so that the line of sight forms tangent segments…

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Q: Find the coordinates of a point on a circle with radius 25 corresponding to an angle of 105° (х, у)…

A: topic - coordinates of a point

Q: For a right triangle, the sine, cosine, and tangent of the angle @ is defined as:

A: Given data: The given right angle triangle. The expression for the sinθ is, sinθ=OppositeHypotenuse…

Q: Find the s of the arc of a circle of radius 50 meters subtended by the central angle 39 degrees.

A: Given

Q: Common tangent(s) to y = x and a = y is/are

A: Equation of red curve is y=x^3  and blue curve is x=y^3.

Q: What is the tangent ratio of angle pqs?

A: Here given PQRS is a rectangle. Here equilateral triangles are PTS, PTQ, STR and QTR Tan <PQS =…

Q: Find the tangent ratio of angle BCK.

A: Fake triangle ABK, We know that total interior angles of a triangle sum up to 180°. A+B+K=180°…

Q: Use the tangent ratio to find the size of the angle marked x, correct to the nearest degree. 21 cm…

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Q: Find the length of the arc on a circle of radius r intercepted by a central angle θ. (Round your…

A: Given:Radius=18 inchesCentral Angle=300 degreesArc of length:A=rθ

Q: If two tangents from an external point to a circle intercept a minor arc of 160°, find the angle…

A: Given:         Minor arc =160°

Q: In terms of the tangent of a positive acute angle, what is the expression for tan(7π/8)?

A: In the question it is asked to write acute angle expression for tan(7π8).

Q: If you know the cotangent value for a given angle, how can you find the tangent value for that same…

A: The solution is :

Q: In cach circle O, OP is a radius and PT is a tangent segment. Solve for the missing side of the…

A: A. Given that,In each circle O, OP¯ is a radius and PT¯ is a tangent segment.We need to solve for…

Q: Suppose you have three concentric circles and are looking at the arc lengths of a 80° angle of each.…

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Q: Why will the cosine ratio never be ambiguous within a triangle?

A: If we restrict our attention to triangle angles, between 0⁰ and 180⁰, we see the difference between…

Q: Given the diameter of the Earth as 8,000 miles, a satellite's orbit is 6,400 miles above the Earth.…

A: Topic = Trigonometric ratios

Q: Find the tangent ratio of angle BKC.

A: The tangent ratio of ∠BKC is tanK=opposite sideAdjacent side K=45° tan45°=BCBK 1=BCBK

Q: If u = 60 degreeis a central angle in a circle of radius 6 feet, find the length of the arc cutoff…

A: Given: The length of radius of the circle is 6 feet. The central angle in a circle is 60°. Formula…

Q: In terms of the tangent of a positive acute angle, what is the expression for tan(11π/8)?

A: Consider

Q: A balloon is flying at the end of a 170-m length of string, which is anchored to the ground. The…

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Fundamentals of Trigonometric Identities

Trigonometric Identities are the equalities that involve trigonometry functions and hold for all the values of variables given in the equation.