The following information refers to triangle ABC. Find all missing parts using The Law of Sines: B=87°, C= 41°, a = 10.8 ft 3.

Q: Let θ be an angle in quadrant III such that cotθ= 7/3. Find the exact values of sinθ and secθ.

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Q: If the terminal side of angle A goes through the following point on the unit circle, then what is…

A: Given: The terminal side of angle A goes through the point -2425,725.

Q: In this figure, triangle GHJ is similar to triangle PQR. 17 15 G\ What is the sin(4G)? 8.

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Q: If B = 108 degree, C = 37 degree, and c =2.9 inches, use the law of sines to find b.

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Q: Given that sine =-1/2 and e lies in quadrant IV, find the following value.

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Q: Consider a clock with an hour hand and a minute hand. What is the measure of the angle the minute…

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Q: Find the exact values of the sine, cosine, and tangent of the angle 15°

A: Find the exact values of the sine, cosine, and tangent of the angle 15°

Q: Determine two other angles that have the same trigonometric ratios as each given angle. a) sin 60°…

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Q: 25. In which quadrant would the terminal ray of an angle lie if it had a positive tangent and a…

A: Properties Quadrant I: cosine,tangent and sine are positive. Quadrant II: cosine and tangent are…

Q: Suppose each edge of the cube shown in the figure is x inches long. Find the sine and cosine of the…

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Q: Name the quadrant in which the angle lies: tan 0 < 0, cos < 0

A: Given that,  tan(θ)&lt;0 and cos(θ)&lt;0 Then to find where the angle θ lies. We know that,  In…

Q: Given the triangle, find the angle 0 in radians. Round to the nearest tenth.

A: Given the triangle below, our aim is to find the value of angle θ in radians.

Q: Label the triangle and then use the Law of Sines to find the value of X.

A: Given,           A triangle XYZ is shown below :

Q: Given the triangle below, find the angle 0 in radians. Round to four decimal places. 9.

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Q: Write cos ⁡ ( θ ) in terms of sin ⁡ ( θ ) if θ is an angle in quadrant II.

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Q: In ΔCDE, the measure of ∠E=90°, DC = 37, ED = 35, and CE = 12. What is the value of the sine of ∠D…

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Q: On a baseball diamond (a square), the bases are 90 ft apart. Use the Law of Sines to find the…

A: we have the given information as   in a baseball field bases are 90 feet apart   we have to find…

Q: Suppose each edge of the cube shown in the figure is 5 inches long. Find the sine and cosine of the…

A: By the Pythagorean theorem, DG2 = DC2 + GC2.Compute the value of DG as follows.

Q: In triangle ABC, A = 40 degree , b = 19 ft, and a =18 ft. Use the law of sines to find sin Band then…

A: Given in ∆ABC,  ∠A = 40° , a = 18ft b = 19ft, ∠B = ?

Q: The terminal side of an angle 0 in standard positlon intersects the unit circle at 39 80 89' 89 What…

A: Given, the terminal side of an angle θ in standard position intersests the  unit circle at 3989,…

Q: A right triangle has side lengths 5, 12, and 13 as shown below  use these lengths to find cosA,…

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Q: Given that csc(θ)=135 and θ is in Quadrant I, what is cot(θ)? Write your answer in exact form. Do…

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Q: Use the sine law to determine the measure of angle C, to the nearest degree, given that b = 89.4 ft,…

A: Given:-  b= 89.4 ft, angle B = 72°, and c = 36.3 ft. To find:- Angle C

Q: Given that csc(θ)=13/5 and θ is in Quadrant I, what is cot(θ)? Write your answer in exact form. Do…

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Q: Suppose each edge of the cube shown in the figure is 5 inches long. Find the sine and cosine of the…

A: Consider the right angle triangle DGE. The length of the diagonals DE and DG can be obtained by…

Q: In AUVW, the measure of ZW=90°, UW = 60, VU = 61, and WV = 11. What is the value of the sine of ZU…

A: Trigonometric ratio , sin (angle ) = Opposite / hypotenuse .

Q: 6. Determine the measure of an angle in Quadrant 4 which would have the same sine value as 185°

A: The trigonometric function, sin(1850)=sin(1800+50)=-sin(50)                             As…

Q: Name the quadrant in which the angle 0 lies. cos 0< 0, tan 0 <0

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Q: Given that sine = -1/2 ande lies in quadrant IV, find the following value. cote V3 -V3/3 -V3

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Q: 13 12

A: Solution: The objective is to find the required value

Q: Consider angle e in Quadrant II, where cos 0 = - . 12 13 What is the value of sin 0?

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Q: In triangle ABC, 2C is a right angle. If cos(A) = and sin(A) = † , what is tan(A) ? %3D A) B)

A: tan(A)= sin(A)/cos(A)

Q: Use the law of sines to show that exactly one triangle exists for which A = 42 degree,a = 29 inches,…

A: Given: A=42 degree a=29 in b=21 in Formula used: sin Aa=sin Bb

Q: A steamer sails 100 miles due east and then 40 miles on a bearing of 60 degrees.  How far is the…

A: To locate the steamer with respect to distance and the bearing in reference to the starting point

Q: Identify the quadrant in which the terminal side of the angle must lie under the following…

A: sinθ&gt;0,  tanθ&lt;0

Q: Name the quadrant in which the angle 0 lies. cos e< 0, tan 0 < 0 Choose the correct answer below.

A: Cos(θ)&lt;0 which is negative, Tan(θ)&lt;0 is also negative.

Q: ) sine = 0

A: Use trigonometric equations properties

Q: Name the quadrant in which the angle below is located. tane 4 and sing is positive. II OIV

A: Given tan θ = -45 and sin θ is positive.

Q: In AABC, LA = 40°, b = 6.8 cm, and c = 3.6 cm. (Round each answer to one decimal place.) (a) Find a…

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Q: The rear wheel of a tractor has a 23​-in radius. Find the angle​ (in​ radians) through which a wheel…

A: The radius of the wheel is 23 in, the time taken to rotate the wheel is 13 sec and the speed of the…

Q: By applying the steps above, find an angle o, with 0° < o < 360° that has the same a) cosine as 53°…

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Q: Given that sine = 3/5 ande lies in quadrant II, find the following value. cote 3/4 4/5 -4/3

A: Given: sinθ=35 and θ lies in quadrant II.

Q: Use an appropriate Half-Angle Formula to find the exact value of the expression. cos (+) 28 (Ⓒ) Bill

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Q: Given that the point (126, -32) is on the terminal side of an angle, θ, find the exact value of the…

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Q: Are the following statements true or false? Please explain. (a) The Law of Cosines cannot be used in…

A: We need to explain whether the statements are true or false.

Q: Consider the angle β and the point (m, n) on the unit circle as shown in the attached figure: a)…

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Q: The angle between 0 and 2T in radians that is coterminal 62 T in radians is 9 with the angle

A: To get coterminal angles, we have to add or subtract 2π.

Q: Given that sine = 4/5 and e lies in quadrant II, find the following value. %3D cote -3/4 -4/5 -4/3

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Q: Given that cos ( θ ) = 3 square root 10 / 10, and θ is in quadrant IV, what is sin ( θ ) ?

A: Given :        cos(θ) = 31010 and θ is in quadrant IV   To find :     sinθ