In Exercises 5 and 6, state the form of the Law of Cosines used to solve the problem. Using the values provided, give the answer in a form such as a = b² + c² - 2bc cos a. See the figure for Exercises 1 to 8. 5. a) Find c if it is known that a 5.2, b = 7.9, and y = 83°. b) Find a if it is known that a 6, b = 9, and c = 10. 6. a) Find b if it is known that a B = 79°. b) Find B if it is known that a = 5.7, с 8.2, and 6, Ь 8, and c = 9.

Q: If OA = 10 and AB = 12, what is RC? (Radius OR I  AB.)

A: Given OA = 10 and AB =12 , OR is perpendicular to AB To find RC

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: In Exercises 9 to 12, use the Law of Sines or the Law of Cosines to find the indicated length of…

A: Given that, In the triangle ABC,  AB=x, BC=8 and ∠A=49∘, ∠C=57∘ Now, apply the sine law in this…

Q: The hypotenuse of triangle ABC has a length of 5. For angle A, the opposite side BC has a length of…

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Q: Question 6 of 10 A pyramid has cross-sectional shapes, taken parallel to its base, that are to one…

A: Let's solve.

Q: On the basis of the drawing provided, complete this form of the Law of Cosines. a

A: we need a triangle to describe the law of cosine. In this case we discuss about it.

Q: Given a triangle ABC, which among the following shows the Laws of Cosine? * i. (AC)? = (AB)² + (BC)²…

A: To find out the correct answer.

Q: The coordinates of the terminal point for the angle 9m are: O (1, 0) O(-1, 0) O (0, 1) O (0, – 1)

A: Given angle9π

Q: 3) Use the law of cosines to solve for angle C in the triangle with a = 12.7, b = 6.12, and c= 15.2.…

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Q: In Exercises 23 to 28, use the sine ratio or the cosine ratio as needed to find the measure of each…

A: Since you have posted multiple questions, we solve the first question for you, to get the remaining…

Q: Suppose arc AB shown below has measurement of 94 degrees and arc BC has a measurement 120 degrees.…

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Q: The three circles are arranged so that they touch each other, as shown in the figure. Use the given…

A: We have given radii 5.0, 4.0, 3.5 for the circle with centre A, B and C respectively. Therefore…

Q: Given a triangle ABC, which among the following shows the Laws of Cosine? i. (AC)? = (AB)² + (BC)² –…

A: I give you complete proof you question has may be printing mistake in first two parts there is extra…

Q: Use the given information below to find the lengths of the missing sides of a triange. Side a is…

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Q: In the accompanying figure, triangle ABC is in the horizontal plane and line CD is vertical. If side…

A: I hope you have already obtained h in the first part of the question. If you have already obtained…

Q: If cos A = - 0.4567, what is angle A?

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Q: If sin 15° = VA – VB, then, by using the half-angle formula, find the values of A and B. С.А %3D 6;…

A: Solution

Q: If A,B and C are interior angles of a triangle ABC , then show that sin(B+C/2) = (cosA/2)

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Q: Use the following information to answer the next question Right Triangle ABC is shown. 13 12 12.…

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Q: 1) Given the triangle below, find "c", area, perimeter, sin(A), cos(A), tan(A), csc(A), sec(A), and…

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Q: Given that csc⁡β>0 and tan⁡β<0 which quadrant does the terminal side of angle β lie?  Explain your…

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Q: Find all angles, 0° 0 < 360°, that satisfy the equation below, to the nearest 10th of a degree. 4…

A: We can solve the given problem by using the properties of inverse trigonometric functions.

Q: Use the information given about the angle 8, sec 0=4, csc 0<0, 0≤0<2, to find the exact values of…

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Q: If O is an angle in standard position and its terminal side passes through the point 2 2 on a unit…

A: The terminal side of an angle passes through the the point x,y = 12,32 on a unit circle. To evaluate…

Q: A right angled triangle ABC has sides AB=5, AC=3 and CB-4. If the right angle is at C, calc ulate…

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Q: In the right triangle ABC, the length of side a = 5 and the length of side b = 3. Find: sin b, tan a…

A: Given,           In the right triangle ABC, the length of side a=5 and the length of side b=3.

Q: In angle ABC , BC = 19, AB = 12, and AC =14. Find angle B to the nearest degree

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Q: In a right triangle ABC with angle A equal to 90°, find angle B and C so that sin(B) = cos(B).

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Q: Use the given figure to prove the Law of Sines, sin A sin B sin C a b. B a h A C, b Let h be the…

A: Given a triangle with sides and angle, we have to find altitude`

Q: Use the law of sines to solve ASA or AAS triangles Question In AFGH, sin F = , sin H = , and f = 15.…

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Q: Prove the Law of Cosines, c² = a² + b² – 2ab cos 0, by referring to Figure 23. Hint: Consider the…

A: To prove :                   The Law of Cosines. From the given figure, it is observed that x = a…

Q: ind the missing sides of triangle ABC given C = 90 degrees, c = 12, sin B = 3/4

A: Sin law is given as: asinA=bsinB=csinC   Use sin law to solve for sides a and b.

Q: What is the side opposite angle A (41 degrees)? Show Your Work C O CA O AT 410 TC A

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Q: If tan VA – B, then, by using a half-angle formula, find %3D B = 下|8

A: Given expression, tanπ8

Q: Show that, given the three angles A, B, and C of a triangle and one side, say a, the area o the…

A: Given- A , B and C are three angles of a triangle and one side say a, To show- The area of triangle…

Q: The Law of Cosines states that for the triangle ABC with sides a, b, and c, ア-C c2 = a² + ) cos(C).…

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Q: If triangle ABC is right angled at C , then thevalue of cos (A+B) is

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Q: Given a triangle ABC, which among the following shows the Laws of Cosine? i. (AC)² = (AB)² + (BC)² –…

A: As per our guidelines we are supposed to answer only one question at a time. So I am solving the…

Q: Use the given information to find the cosine of each angle in AABC. a = 13 cm, b = 5 cm, c = 12 cm…

A: Given a=13cmb=5cmc=12cm

Q: The three circles are arranged so that they touch each other, as shown in the figure. Use the given…

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Q: Use the Law of Sines to solve for all possible triangles that satisfy the given conditions. a = 32,…

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Q: In Exercises 23 to 28, use the sine ratio or the cosine ratio as needed to find the measure of each…

A: 23- Given-  To find- The value of angle α and β by using sin ratio or cosine ratio as needed.

Q: If e is an angle in standard position and its terminal side passes through the point (21,-20), find…

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Q: If A(a, b), B(a + r cos 0 , b + r sin 0) and C(a +r cos B,b +r sin ß) are the corner points…

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Q: If tan“ = VĀ – B, then, by using the half-angle formula, find the %3D values of A and B. А. А %3D1;B…

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Q: If tan VA – B, then, by using a half-angle formula, find A = B = %3D

A: Here there are two terms at the numerator so using  this formula   where, α=π4

Q: В A In AABC, AB 7 and AC 17. Find mB to the nearest degree. %3D

A: As two sides of right triangle are given so use appropriate trigonometric ratio.