An angle of measure 150° intersects the unit circle at point (-, Y). What is the exact value of sin(150°)?

Q: The terminal side of an angle θ in standard position intersects the unit circle at point (32,−12).…

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Q: Find the length of the arc of a circle of radius 9 centimeters subtended by the central angle of 70…

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Q: The top of the lighthouse is observed from point M at 25.53° angle of elevation and simultaneously…

A: Here we use the knowledge of trigonometry ratios to find the height of lighthouse.

Q: How do you find the length of the arc of a circle of diameter 10 meters subtended by a central angle…

A: The formula for the length of an arc of a circle is:…

Q: Find the coordinates of a point on a circle with radius 5 corresponding to an angle of 300∘300∘…

A:

Q: Find the lengths of both circular arcs of the unit circle connecting the point (−√3/2, −1/2) and the…

A: Given:  Point: ( -√3/2 , -1/2 )   Angle = 20°

Q: The angle of elevation of the top of the building at a distance of 50 m from its foot on a…

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Q: If the terminal side of angle θ goes through the point (−2√13/13,−3√13/13) on the unit circle, then…

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Q: The terminal side of an angle 0 in standard position intersects the unit circle at point (,-). What…

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Q: An angle of measure intersects the unit circle at point (3, ÷). What is the exact value of cos()?

A: We use Trigonometry ratios

Q: Find the central angle θ which subtends an arc of length 2 inches of a circle of radius 24 inches…

A: See below

Q: Find the coordinates of a point on a circle with radius 5 corresponding to an angle of 120° (х, у) -…

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Q: It is an arc that measures greater than 180 degrees. major arc central angle

A: An arc that always measures greater than 180 degrees is called a major arc .  hence answer here is…

Q: Sketch a triangle that has acute angle 0. tan(0) = 2

A: See attached file for a step by step explanation.

Q: height of the building

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Q: The terminal side of an angle θ in standard position intersects the unit circle at point…

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Q: What is the radian measure of the central angle of a circle that intercepts an arc of length 10.5…

A: An arc of length 10.5 centimeters on circle whose radius is 25 centimeters.

Q: Find the coordinates of a point on a circle with radius 20 corresponding to an angle of 245∘ (x,y)…

A: We will solve the problem

Q: Find the length of an arc on a circle of radius 8 correspondings to an angle of 135∘. Arc length =…

A: Length of arc = (angle × 2πr )/ 360o

Q: A central angle of a circle of radius 6 inches is subtended by an arc of length 6 inches. What is…

A: The circumference of circle is           2πr = 2.π.6 =12π inches         which subtends central…

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: Find the central angle which subtends an arc of length 7 meters of a circle of radius 12 meters.

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Q: Find the coordinates of a point on a circle with radius 25 corresponding to an angle of 135∘ (x,y)…

A: We have to find out the coordinates

Q: The terminal side of angle λ intersects the unit circle at point (-0.358, 0.934). Based on these…

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Q: A television antenna is on the roof of a building. From a point on the ground 100 ft from the base…

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Q: The terminal side of an angle θ in standard position intersects the unit circle at point…

A: We have to find the sin value

Q: Find the length of an arc of a circle with a 8-cm radius associated with a central angle of 240…

A: On solving this we will get

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: An observer stands an unknown distance away from a building that is 80 feet tall. Looking up to the…

A: We have to find the value of x.

Q: What is the unit circle definition of sin 0?

A: To be determine: Unit circle definition of sin 0.

Q: Find the radian measure of the central angle of a circle of radius r =1 meter that intercepts an arc…

A: Given- radiusr=1 m and arc lengths=400cm To find- The radian measure of the central angle. Identity…

Q: The terminal side of angle t intersects the unit circle in the fourth quadrant at the point (5/13,…

A: It is given that, Terminal side intersect unit circle at 513, y in 4th quadrant. Let, the angle made…

Q: Find an angle that is coterminal with a standard position angle measuring 166° that is between 0°…

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Q: A central angle of a circle of radius 6 inches is subtended by an arc of lenght 6 inches. What is…

A: As given that the radius of the circle is: 6 inches And the arc length is = 6 inches: As we know…

Q: A 29-ft ladder leans against a building so that the angle between the ground and the ladder is 80°.…

A: Please refer to the diagram below. The diagram is indicative and not to scale. We have to find AB

Q: If the terminal ray of the angle θ passes through the point (−5,2), find the exact value of cscθ

A: Given that the  terminal ray of the angle θ passes through the point (−5,2). Then, there forms a…

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: An observer stands an unknown distance away from a building that is 80 feet tall. Looking up to the…

A: Given that building height is 80ft. And elevation angle is 52° and we find the distance from the…

Q: Find the primary and reciprocal trigonometric ratios of the given point on the terminal arm in…

A: This question is related to trignometric ratios, We will solve it using given information.

Q: What angle ( in radians ) is subtended from the center of a circle of radius 0.75 m by an arc of…

A: Let the angle is θ Given radius= r= 0.75 m Arc length = S= 0.80 m

Q: The cables attached to a TV relay tower are 100 m long. They meet level ground at an angle of 60.0…

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Q: Verify that (sinA)² + (cosA)2 =1 for the angle measure. %3D mLA = 45° II II 2) 2.

A: Given  m∠A=45° To verify  sinA2+cosA2=1 The values here will be sin45°=22cos45°=22

Q: Sketch the angle θ in standard position that has the point (5, –3) on its terminal side. Find the…

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Q: Find the coordinates of a point on a circle with radius 30 corresponding to an angle of 45° (х,у) -…

A:

Q: What is the relationship between cosine and sine in relation to complementary angles?

A: Since the ratios sine of an angle and cosine of an is complementary ratios.

Q: The terminal side of an angle O in standard position intersects the unit circle at point (-,-). What…

A: Q7) The terminal side of an angle θ in standard position intersects the unit circle at point…

Q: Find the radian measure of the central angle of a circle of radius r =1 meter that intercepts an arc…

A: Given radius r = 1 meter and arc length = 600 centimeters. Angle θ=Arc lengthradius.

Q: A perfectly vertical tree 40 feet tall, casts a shadow on level ground that is 40 feet long. What is…

A: We have to find the angle of elevation from the tip of the shadow to the top of the tree

Q: A ladder placed against a wall such that it reaches the top of the wall of height 10 m and the…

A: Given a  ladder placed against a wall such that it reaches the top of the wall of height 10 m and…

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.