Explain why the law of sines can be used to solve a triangle if the measure of an angle is given along with the length of its opposite side and the measure of one other side or angle

Q: Explain why the Pythagorean Theorem is a special case of the Law of Cosines.

A: Consider the following figure: Law of cosine: c=a2+b2-2abcosθ

Q: If the sine of an angle is .6691, Find the angle

A: Let the angle be 'x' sin(x)=0.6691

Q: What is the relationship between the sine and cosine of complementary angles and why is it true?

A: The sine of any acute angle is equal to the cosine of its complement.The cosine of any acute angle…

Q: If the sine of an angle is 817, what is the cosine of the angle's complement?

A: Given that complementary angle are those angle whose sum is 90 degree

Q: To apply the law of sines, an angle must be given and a side (opposite/adjacent) the given angle…

A: In a triangle, to apply the Law of Sines, we must have an angle along with the side opposite to the…

Q: A tower that is 120 feet tall casts a shadow 167 feet long. Find the angle of elevation of the sun…

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Q: 55.2 6.3 니2.2% a

A: We use sine law

Q: can this triangle be solved using cosine law, explain. For those that cannot, explain why not.

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Q: 7) Find mZA 17 ft 9t 127" B

A:

Q: If I know the measures of all three angles of an oblique triangle, neither the Law of Sines nor the…

A: To determine :                          The statement makes sense or does not make sense

Q: True or false: The cosine of the sum of two angles equals the sum of the cosines of those…

A: Given statement is "The cosine of the sum of two angles equal to the sum of the cosines of those…

Q: Find an angle 0 with 0° < 0 < 360° that has the same: Sine as 30°: 0 = degrees Cosine as 30°: 0 =…

A: To determine: 1) Sine as 30 degrees and 2) cosine as 30 degrees.

Q: Find another angle phi between 0 degrees and 360 degrees that has the same cosine as 69 degrees.…

A: Refer to the question we need to find the angle  0 &lt; phi &lt; 360 that has the same cosine as 69…

Q: We can always use the Law of Sines to find missing parts of triangles in which one_______ and…

A: Explanation: According to the sine law asinA=bsinB=csinC

Q: Determine whether the statement "Under certain conditions, a fire can be located by superimposing a…

A: Concept: The calculus helps in understanding the changes between values that are related by a…

Q: At a certain time of day, the angle of elevation of the Sun is 40°. To the nearest foot, find the…

A:

Q: At a certain time, a post 12 feet tall casts a 4 ft shadow. What is the angle of elevation of the…

A: Given problem:- At a certain time, a post 12 feet tall casts a 4 ft shadow. What is the angle of…

Q: For triangle ABC, the lengths of sides b and c and the measure of angle A are known. Which method…

A: According to our company's guidelines I can only answer first three subparts of the question since…

Q: If you are given a point on the terminal side of angle 6, explain how to find sin 6.

A: Consider the provided information, Let we have a point x,y.

Q: The Law of Cosines is similar to the Law of Sines, with all the sines replaced with cosines…

A: The Law of Cosines is similar to the Law of Sines, with all the sines replaced with cosines.

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

A:

Q: James determines that the angle of elevation to the top of Bohol Tropics Resort Building measures…

A: Let the height be h and the length be x from James to the building. The figure is shown below.

Q: Use the Law of Sines to solve the triangle.

A: Law of sines is given by  asinA=bsinB=csinC Considering first two parts, and on substituting the…

Q: Find another angle Phi between 0 degrees and 360 degrees that has the same cosine as 69 degrees. Do…

A: Given

Q: Find another angle theta between 0 degrees and 360 degrees that has the same cosine as 245 degrees.…

A:

Q: Given any triangle, there are two cases when the sine law can be used. Determine the scenarios when…

A: Sine Rule: Sine law can be used when two sides and one angle opposite to any of given side is given.…

Q: Explain why the sine or cosine of an acute angle cannot be greater than or equal to 1.

A: Let us consider a right angled triangle as below. Here θ is an acute angle. In the right angled…

Q: At a certain time of day, the angle of elevation of the Sun is 40°. To the nearest foot, find the…

A: Since, the angle of elevation of the Sun is 40°.Our Aim is to find the height of a tree whose shadow…

Q: determine the height of gage blocks required to set an angle of 17 degrees 22' on a 5" sine plate.…

A: Given,           The height of gage blocks required to set an angle of 17 degrees 22' on a 5" sine…

Q: 4. If sin 47°=.731, name another angle in a different quadrant that has the same sine value.

A: We know sin180°-θ = sin θ

Q: The sum of the sines of two angles A and B is 3/2 while the sum of the cosines of the angles is √3…

A: Given  Sin(A)+Sin(B)=3/2 Cos(A)+Cos(B)=(3^(1/2))/2

Q: Determine two other angles that have the same trigonometric ratios as sin60° (Please show the steps…

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Q: Use a special right triangle to find the sine and cosine of a 30° angle.

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Q: To measure cloud height at night, a vertical beam of light is directed on a spot on the cloud. From…

A:

Q: when it is necessary to use the Law of Cosines instead of the Law of Sines.

A: This question is based on Law of Cosine and sine rule.

Q: If you are given a point on the terminal side of angle θ, explain how to find sin θ.

A: Consider a point (a,b)

Q: A tree cast a shadow that is 175 feet long. If the angle of elevation from the end of the shadow…

A:

Q: How can the unit circle help us find the exact values of trig expressions involving special angles?…

A: To show how trigonometric expressions can be found using Unit circle.

Q: The cosine of the smallest angle in a right triangle is 0.8. What is the sine of the other acute…

A: If smallest angle is θ then other acute angle will be 90-θ sin90-θ=cosθ

Q: (A) Why does the Law of Sines have an ambiguous case when solving for angles, while the Law of…

A: The Law of Sine have an ambiguous case when solving for angles because when we use law of sine for…

Q: For triangle DEF, the length of side e and the measures of angles D and F are known. Which method…

A: We have to find option

Q: If I know the measures of all three angles of an oblique triangle, neither the Law of Sines nor the…

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: For each problem, draw a diagram. Then use your knowledge of trigonometry to solve each problem. Not…

A: Draw a diagram using the given information

Q: A tower that is 110 feet tall casts a shadow 161 feet long. Find the angle of elevation of the sun,…

A: Given that  A tower that is 110 feet tall casts a shadow 161 feet long. To Find the angle of…