Are the following statements true or false? Please explain. (a) The Law of Cosines cannot be used in a right triangle. (b) The Law of Sines may only be used in a right triangle.

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: Make up an applied problem that requires using the Law of Cosines.

A: Here, our aim is to make up an applied problem that requires using theLaw of Cosines.Let us consider…

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: Illustrate the Law of Cosines?

A: Given: Define the law of cosines with examples:

Q: The terminal side of an angle 0 in standard position intersects the unit circle at What is sin (6)?

A: A unit circle is a circle of radius 1.

Q: To explain why it is possible to find an angle theta that will maketan theta as large as we wish.

A: It is known that tanθ=Opposite sideAdjacent side and the range of tanθ is -∞,∞. when θ→0 then tanθ→0…

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

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Q: To explain why, for any acute angle u, it is impossible for cos theta =  3.

A: we know that range of cosθ is -1 to 1 so, value of cosθ can't be equal to 3

Q: A right triangle has one angle of 4π /3 radians. What are the other angles?

A: A right triangle has one angle 4π3 radians. The right angle measures π2 radians.

Q: Explain why the law of sines can be used to solve a triangle if the measure of an angle is given…

A: we have to explain why the law of sines can be used to solve a triangle if the measure of an angle…

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: Determine whether the statement "The Law of Cosines is similar to the Law of Sines, with all the…

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

Q: Evaluating the sine of a difference of two angles can be done using sin(A – B) =?

A:

Q: Can the following triangle be solved using cosine law, why or why not?

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Q: Find the value of the Sine, Cosine, Cosecant and Secant, if 0= 225°. What is the reference angle of…

A: Given unit circle with angle θ=225°

Q: A triangle is formed between the points A (-3,-2), B(5,-2), and C(5,13). What is the sine of the…

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Q: snip

A: For any triangle we have to derive the formula: a=b cos C+c cos B We know sine rule, asin A=bsin…

Q: In Problem,solve each triangle using either the Law of Sines or the Law of Cosines. a = 6, b = 8, c…

A: Use law of cosine to find the angle between two sides. Let a=6 be the length of AB, b=8 be the…

Q: 15) X 17 km 27 31 Z

A: Given query is to solve the triangle.

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: 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: Suppose Ø is an angle such that •<ØLI and tan o- . what is sinø? hat is cosø?

A:

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

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

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Q: Use a reference angle to write sin(5π/4) in terms of the sine of a positive acute angle.

A: Given

Q: The terminal side of angle θ intersects the unit circle in the first quadrant at (13/19,y). What are…

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Q: In triangle ABC with sides a, b, and c the Law of Sines states that

A: To state the law of sines.

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: 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: (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: Use words to describe the formula for the cosine of the difference of two angles.

A: We know that formula of cosine of the difference of two angle is, cosA-B=cosAcosB+sinAsinB

Q: How does the law of cosines generalize the Pythagorean theorem?

A: We have to show that the law of cosines generalize the Pythagorean theorem.

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

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Q: What is the Law of Cosines?

A: Law of Cosines Let us consider a ∆ABC Sides of the triangle are a, b, &amp; c.

Q: I’m working with a quadrantal angle θ for which sin θ is undefined.Determine whether the statement…

A: given statement: I’m working with a quadrantal angle θ for which sin θ is undefined. we have to…

Q: law of Sines

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Q: Use words to describe the formula for:the power-reducing formula for the cosine squared of an angle.

A: Use the identity cos 2θ=2cos2 θ-1 to find the formula for cos2 θ (the cosine squared of an angle).…