If one side and two angles of a triangle are given, which lawcan be used to solve the triangle?(a) Law of Sines (b) Law of Cosines(c) Either a or b (d) The triangle cannot be solved.

Q: difference identities of angles to prove each

A: 39)  41)

Q: Use double- and half-angle formulas to find the exact value of the expression sin 22.5°.

A: Given: sin 22.5° To find: The exact value by using double and half-angle formula.

Q: Use exact values of trigonometric functions to show that the statement, sin 60° sin 30° = 1/2…

A: sin 60° sin 30° = 1/2 [cos(60° - 30°) - cos(60° + 30°)] We need to justify that the statement is…

Q: If the power of the cosine is odd and positive Convert the remaining factors into cosines Convert…

A: Given query asks how to solve integral of the given cosine function whose power is odd and positive.

Q: Illustrate the Law of Cosines?

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

Q: Explain why you can find sin(1.373) on your calculator, but sin (1.373) results in an error message.…

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Q: 6. For triangle XYZ, the measures of angles X, Y, and Z are known. Which method should be used to…

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Q: Sketch the point (8, -6) on the terminal side of angle 0 in standard position. Use 0 to evaluate the…

A: Here I am attaching image so that you understand each and every step.

Q: If 0 is an angle in standard position and its terminal side passes through the point (-5,-6), find…

A: Here, the given angles terminal side passes through the point (-5,-6) is given.

Q: 4. Solve triangle AABC if ZA = 43, with sides a = 81, and b = 62. Round lengths of sides to the…

A: Solution Question 4  Given, △ABC in which ∠A =43°  ;   a =81   and  b = 62  We have to find the side…

Q: If angle x is in standard position such that Cos=-8/17 & Sine > O determine the exact value of Tane.…

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Q: If the period of a sine wave is 0.0005 hr, then what is the frequency? The frequency of a sine wave…

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Q: 30 -20 -10 20- 10- -10-

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Q: tan(2π/3) Without using a calculator, state the exact value of the following trig functions for the…

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Q: When solving the ambiguous case using the law of cosines, the first step is to solvefor the missing…

A: The given statement is "When solving the ambiguous case using the law of cosines, the first step is…

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

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Q: The problem involves equation with multiple angles. Solve the equation tan 3x = √3 on the interval…

A: the given equation is tan3x=3. we have to find the solution of the given equation on the interval…

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: 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: how do i find each trigonometric ratio for a right triangle given 3 sides?

A: Let 3 sides are a, b, and c of the right triangle.

Q: Suppose the terminal side of an angle 0 passes through the point (-4,-5) when drawn in standard…

A: We have to find tan theta

Q: A point (2, 3) on the terminal side of angle θ is given. Find the exact value of each of the six…

A: Given: A point (2, 3) on the terminal side of angle θ is given.

Q: Why do we use the Laws of Sine and Cosine O In order to solve a reciprocal O To verify trig…

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Q: Please can you give me an example of Law of sines and Law of cosine with answer

A: Law of sines and law of cosines

Q: give an example of when law of cosines will have to be used first instead of law of sines

A: If you know the three sides, you can use the Law of Cosines to find any angle instead of law of…

Q: An isosceles triangle is to be drawn with its two equal sides of length 12. What is the maximum…

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Q: 6. Is it true that arcsin sin sin arcsin ? Explain your reasoning (AlIl angles are in radians.)

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Q: 30. sen 75° cos 38° - cos 75° sen 38° =

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Q: Determine the exact value of(sin45°)(cos135°)+(sin240°)(cos30°). Be sure to draw a relevant diagram…

A: Value of the given expression can be found by using following results.  cos…

Q: Use sum or difference formulas and special triangles to determine the exact value of sin 12

A: Trigonometry is the study of the relationship between the sides and angles of a right-angled…

Q: The terminal side of an angle θ in standard position intersects the unit circle at point (−22,−22).…

A: The terminal side of an angle θ in standard position intersects the unit circle at point (−22,−22).…

Q: Explain how to find all 6 trigonometric ratios if you are given    secθ=2√3

A: Answer and explanation is given below

Q: The point (3, -2) lies on the terminal side of angle 0 . Find the exact value of sin 0 and cos O

A: We first sketch the situation roughly. Then we find the hypotenuse using Pythagorean theorem.…

Q: Find the solution to the equation: tan(2θ + 5)=cot(3θ -20)

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Q: The point (2, 3) is on the teminal side of angle 6, in standard position. What are the values of…

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Q: After the difference formula for cosines is verified, I noticed that the other sum and difference…

A: Yes, it makes sense.      Reason 1:…

Q: The terminal side of an angle e in standard position passes through the point (4, -5). Find the…

A: Given : The terminal side of an angle θ in standard position passes through the point (4, -5).…

Q: 4) Two corridors each 3 m wide intersect at 90 degrees. A ladder is being carried horizontally along…

A: At the 3m wide vertical hallway .Let 'x' be portion of the ladder there and 'α' be the angle. Now,…

Q: What is the Law of Cosines?

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

Q: The terminal side of angle β in standard position goes through the point (1,-8).  Find the values of…

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Q: The point (1, −1) is on the terminal side of angle θ, in standard position. What are the values of…

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Q: If the point (15, -8)is on the terminal side of standard position angle 0, find the exact value of…

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Q: The point (20, 21) is on the terminal arm of an angle in standard position. Find sin theta and cos…

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Q: The problem involves equation with multiple angles. Solve the equation on the interval [0, 2π).

A: Here we have to solve the trigonometry equation sin2x+π6=12 on the interval [0,2π)

Q: Tan θ = 5/12, cos θ < 0. Find the exact value of the remaining trigonometric functions of θ.

A: Given Tan θ = 5/12, cos θ < 0.  We need to find the exact value of the remaining trigonometric…