2. Suppose that B =(2, 2, 1) and makes 30° with A and A•B = 6. What is the magnitude of A?

Q: Express the following in terms of its reference angle.  cos(-128°)

A:

Q: If  alpha is a Quadrant IV angle with cos(alpha)=sqrt(5)/5 and sin(beta)=sqrt(10)/10, where…

A:

Q: what is the exact value of cos (22.5*) using the half angle identites

A: The exact value of cos (22.5*) using the half angle identities

Q: (4x?+q]!O "Cx)=

A:

Q: Which equation can we use to find the length of the side labeled æ? 5 30° A cos 30° 5 B tan 30° %3D…

A: Given: To find the value x=?Opposite side=5; hypotenuse side=x

Q: If w=f(a,b,c)=cos(ab)sin(b)+c, what is at ( 2'3 5,6 )?

A: Given function is  w=fa,b,c=cos(ab)sin(b)+c

Q: Assume Za is opposite side a, 2B is opposite side b, and Zy is opposite side c. Solve triangle ABC…

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Q: If  sin(?) =  9 41  and  tan(?) = −  9 40 ,  find  sec(?).

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Q: What is cos A, if cos 2A , and 2A is an angle in the fourth quadrant? 16 13 13 16 16 13 13 16 no…

A: The solution of the problem is given in the next step.

Q: What would the distance value be using the law of cos?

A: This question is related to triangles, we will use law of cosines to solve this problem.

Q: 16. Add the following sine and cosine wav, piviuu Tiu si wur. 45 cos(4x + 65°) + 30sin (4x + 15°)

A: Lets plot these terms one by one and then add them, 45cos(4x+65°)      30 sin(4x+15°)

Q: 1. In right triangle ABC shown, AC = 12, BC = 16, and AB = 20. Which equation is not correct? 12 a.…

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Q: 4. Use an appropriate half angle identity to find the exact value of cos15°.

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Q: To explain why, for any acute angle u, it is impossible for sec theta =  1/2

A: To show:  It is impossible for sec theta =  1/2

Q: Suppose θ(t) measures the angle between a clock’s minute and hour hands. What is θ'(t) at 3 o’clock?

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Q: Convert 210° to radians.   3π/2     37800/π     5π/6     7π/6

A: Here, we need to convert 2100 to radian.

Q: Solve the next trigonometric equations, please include procedure. 10) sec a + tga = 0 11) 6cos+cos…

A: Since you have posted a question with multiple sub-parts, we will solve the first three sub-parts…

Q: 2,8 m 3,7 m

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Q: 2 is a triangle in which Tan A = 3 and Sin B = V5 ut using Calculator find Cos (A+B)

A:

Q: The area of one lobe of r = 3 sin(40) is

A: Given: The equation of one lobe is, r2=3sin4θ

Q: cos ? = 35

A: there is an error in the question. the value of cos? is lying between[-1,1] but in these cases the…

Q: There is a right triangle ABC with C = 90°, b = 8.18, and C = 9.92, Use a calculator to find sin A,…

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

Q: has side lengths 8, 15, and 17 as shown below. hs to find cos B, tan B, and sin B. A 15 17 C AB 8.

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Q: A box has dimensions to inches 2"x 3" x 4" determine the angle theta formed by the diagonal 2" x 3"…

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Q: 119 Suppose that is an angle in quadrant 2 and that cos y = 2 %3D 169 (). Compute the exact value of…

A:

Q: Suppose that a and ß are in the first quadrant, sin(a) = , and sin(B) = . What is sin(a + B)?

A: cos2α=1-sin2α sinα+β=sinαcosβ+cosαsinβ

Q: 13 Given : tau e = u and ☺ B in Qundrant I. Show that Sin O %3D VItu?

A: Given: To show: Graph:

Q: Find the exact value of s in L-7,7) by first finding the reference angle along with 45-45-90…

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Q: that S cot udu=In ace n Sin ul tC.

A: Explanation is given below..

Q: Calculate Sin(15°) in two ways: a)Using half-angle formulae. b)Using angle difference formulae.

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Q: Suppose that , is an angle in quadrant 4 and that cos a = 7 Compute the exact value of 2 25 cos cos…

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Q: Given that cos(0) = 2/13 18, and 0 is in Quadrant IV, what is cos(20)? %3D

A: We can use the following standard trigonometric identity given below: cos(2θ)=2cos2(θ)-1......(i)…

Q: Match the given information with the appropriate inverse trigonometric ratio to determine mZA. 1.…

A: on solving the problems we get

Q: If Sin(B)= 0.4536, what is B?

A: Topic-  sin value and it's angle

Q: Use a linear approximation to estimate the cosine of an angle of 66° Round your answer to four…

A:

Q: sin B  =  ​       cos A  =  ​       (b)    sin A, cos B sin A

A:

Q: In AABC, mLB = 90° and tan(A)3D What is cos(C)? O A О в 45 35 53

A: Given that,              In a ∆ABC,⇒                m∠B=90°⇒               tanA =34            find…

Q: 3. Suppose ABC is a triangle in which <C is 90 degrees. If BC/AB = ½ what is the exact value of…

A:

Q: Convert the given (negative) angle into a radian measure. First, give the exact value in radians, as…

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Q: 17. Show that if tan e = c and 0 < e <7/2, then cos e = 1//1+c2. Hint: Draw a right triangle whose…

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Q: If cos 0 V2 and the reference angle of 0 2 is 45°, find both angles in degrees from 0° < 0 < 360°…

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Q: I don't know how to do this problem

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Q: 414) Find the remaining sides of the right triangle if sin B = 8 12 16 20 a) b= b) b = c) O ○ d)…

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Q: 6. Find the exact value by using a half-angle identity. Cos 165°

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Q: (5) Suppose that 2 is an angle in quadrant 2 and that cos B Compute the exact value of cos 25 Cos ||

A: To determine the value of cos (β/2).

Q: In AYES, mzE=90, If cos Y = a, Find sin A = choose your answer.

A: Given query is to find the indicated angle.

Q: What is cos 2A, if cos 2A = 5/8, and 2A is an angle in the fourth quadrant?

A:

Q: 1. Express cos-as a cofunction of a complimentary angle 10"

A: we have the formula  sin(π/2 - x ) = cos x Now, we have given  :  cos3π/10 So , x = 3π/10

Q: If sec ? =16/5, what is sin ?? Draw a triangle and give an exact answer. No decimal approximations.

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Q: 9. Find the exact magnitude of c = (3,12). Show your work and write your answer on the line…

A: According to the guidelines, we are answering first question. Please repost the remaining.…

Ratios

A ratio is a comparison between two numbers of the same kind. It represents how many times one number contains another. It also represents how small or large one number is compared to the other.

Trigonometric Ratios

Trigonometric ratios give values of trigonometric functions. It always deals with triangles that have one angle measuring 90 degrees. These triangles are right-angled. We take the ratio of sides of these triangles.