(b) In a certain right triangle, one angle measures radians and the adjacent side has length 23. Find the exact measure of the non-right angle and lengths of the other two sides. Include a clearly labeled picture in your work along with well-organized and labeled conclusions.

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

A: To find the exact value of sin (150°) Since the point  -12,32 is passing through the point and its…

Q: What is the smallest positive degree angle measure equivalent to tan − 1 ⁡ ( 0.724 ) ?

A: Given :tan-1  0.724

Q: The terminal arm of an angle, 0, in standard position passes through A(7, 2). Which of the primary…

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Q: Find the exact values of the six trigonometric ratios of the angle 0 in the triangle.

A: sin(θ)    = opposite side ÷ hypotenuse    = 24/25

Q: Solve for the missing side or angle using Trig Ratios (sin, cos, tan) 3. 4.

A:

Q: You know the lengths of the two legs of a right triangle, and you are trying to solve for the…

A: Given lengthsof the two legs of a right triangle are known, and you are trying to solve for the…

Q: If the angle e is in standard position and P(x, y) is a point on the terminal side of 0, and ris the…

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Q: Q3) On a circle of radius 10 m, how long is an are that subtends a central angle of 4n/5 radians?…

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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: The terminal side of an angle 0 intersects the unit circle at point (v,-). What is the exact value…

A: Given,            The terminal side of an angle θ intersects the unit circle at point 22,-22.

Q: A circle has a radius of 13 in. Find the radian measure of the central angle 8 that intercepts an…

A: Introduction: What is the equation for the sector of a circle's arc length, If PQ subtends an angle…

Q: To explain why, for any acute angle u, it is impossible for sec theta =  1/2

A: To show:  It is impossible for sec theta =  1/2

Q: Consider a right triangle with a side of length x opposite angle A, a side of length y opposite…

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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: In a right triangle, the side opposite angle β has a length of 16.4 cm. The hypotenuse of the…

A: Given that: Side opposite to angle β, p=16.4 cmHypotenus of triangle, h = 25.1 cm

Q: Given that the terminal side of angle 0 goes through the point (-3, –4), find tan(0).

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Q: 1. Write a list of angle degree measurements between 0° and 180° whose sin value can most easily be…

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Q: Find the exact trigonometric ratios for the angle x whose radian measure is -3pi

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Q: For an acute angle 0 , the equation sin (0) = cos (6) is true. What is the value of 0 ?

A: If both the angles x and y are acute then    sin x=cos y⇒sin x =sin 90°-y⇒x=90°-y⇒x+y=90°For an…

Q: Given a triangle on a hyperbolic surface of absolute length R with a sum of the vertices equalling…

A: The below figure represents the half plane model which is same as Euclidean angles,A hyperbolic…

Q: If the radius of a circle is 4 cm and the arc is 6 cm ... is the angle formed a radian? What is n…

A: The relation between arc length, angle and radius is given as  arc length=radius×angle.

Q: For an acute angle 0, the equation sin(8)=cos(6) is true. What is the value of 0?

A: solution  given below..

Q: Find the exact value using half-angle formulas. 7 cos(7π/8)

A: Recall the following facts.

Q: In a circle of a radius of 6 m, an arc is subtended by a central angle of 7π6 radians. The exact…

A: Given radius is 6metres. Central angle is 7π/6 = 210° Arc length = 2πr(©/360°)                    =…

Q: What is the smallest positive degree angle measure equivalent to sin − 1 ⁡ ( 0.391 ) ?

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Q: A line makes the same angle e with each of the X- and Z- axis. If the angle B, which it makes with…

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Q: If you are given the coordinates where the terminal side of an angle intersects with the unit…

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Q: For tan 0 = 49.451, find 0, an angle in a right triangle. If there is no angle corresponding to 0,…

A: Given: tan θ=49.451 To determine: Value of θ.

Q: In a right triangle, the side opposite of angle theta has a length of 80 inches, the side adjacent…

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Q: In a right triangle, sin(β) = 0.292. If the hypotenuse of the triangle has a length of 17.5 cm, what…

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Q: If the angle 0 is in standard position and P(x, y) is a point on the terminal side of 0, andr is the…

A: We have to find the trigonometric ratios, reference angles, values of the trigonometric functions…

Q: If the radius of a circle is 2, and the arc length between the two rays of an angle whose vertex is…

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Q: 1. Why is it important to use the six trigonometric ratios in getting a missing angle value?

A: The six trigonometric ratios are sine, cosine, tangent, cotangent, secant, and cosecant. Basically,…

Q: How does the value of sine and cosine relate to writing proofs about triangles?

A: Let, ABC be a right angle triangle as shown in the figure sine(θ) = a/h cosine(θ) = b/h

Q: In a right triangle, tan 6 0.75. Which side is longer, the opposite or the adjacent side? Explain…

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Q: If the terminal arm of an angle θ, in standard position, lies on the left side of the y-axis than…

A: cos θ=

Q: If the cos of angle x is 8/17 and the triangle was dilated to be two times as big as the original,…

A: topic -  triangle geometry

Q: What is the value of tan θ if the terminal side of angle θ intersects the unit circle in the first…

A: Terminal side of angle θ intersect the unit circle at x = 423

Q: Given that the radius r of the unit circle is 1, what would be the values of sin 0 and cos e in the…

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Q: A triangle has a length of 38 cm and 42 cm on its two sides, and the angles opposite to these sides…

A: We have to find the length of the third side of the triangle.  We have that the length of the two…

Q: What is the smallest positive degree angle measure equivalent to tan-(0.724)

A: Given  tan−10.724

Q: In a circle of a radius of 6 m, an arc is subtended by a central angle of 7π/6 radians. The exact…

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Q: What is the measure of <BAO to the nearest degree?

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Q: If the angle 0 is in standard position and P(x, y) is a point on the terminal side of 0, and r is…

A: The figure is and solution is shown in step. 2

Q: If csc(alpha)=3, where 0<alpha<pi/2, and  beta is a Quadrant II angle with tan(beta)=-7, find…

A: Given that, cscα=3, 0&lt;α&lt;π2, tanβ=-7. Calculate the value of tanα-β.   Here we use the…

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

A: Consider

Q: If sec ? =16/5, what is sin ?? Draw a triangle and give an exact answer. No decimal approximations.

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Q: In right triangle, the side opposite angle has a length of 11.1 feet, the side adjacent to angle a…

A: Topic: trigonometry

Q: Find the remaining trigonometric ratios of θ based on csc θ = 2 and cos θ is negative

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Q: The length of an arc in a circle of radius r, subtended by an angle theta is given by s=rtheta Where…

A: Let the letter s symbolize the length of an arc, which is called arc length.An arc "subtends" an…