If m/DHG = 76°, then what is mZKHI? B C E A F H K M L J

Q: Find the reference angle for the given angle. 6.2 O A. -0.08 O B. -3.06 O C. 0.08 O D. 3.06

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Q: K H A

A: Given problem:-

Q: **#1.) The number of radians in a 275° angle can be expressed as kn, where k is a constant. What is…

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Q: Consider the angle 0 on a standard coordinate plane such that: cot(0)=6; sec(0)<0, What is the exact…

A: As we know that the trigonometric identities. 1). cosθ=1secθ2). tanθ=1cotθ3). cos2θ=2cos2θ-14).…

Q: In AIJK, the measure of ZK=9o°, IK = 9, JI = 41, and KJ 40. What ratio represents the sine of ZI?

A: Given that ∠K=90°,  IK=9,  JI=41  and KJ=40. Construct a right triangle (IJK)  and name it, with the…

Q: In this figure, triangle GH) is similar to triangle PQR. 17 15 R H G Based on this information,…

A: Given data is : ∆GHJ~∆PQR PQ=17QR=15PR=8

Q: In which quadrant(s) are both conditions met? cot 0 0

A: Given,           cot θ &lt;0            sec θ &gt;0

Q: 16. Given the figure below, if side CD = 12.5 cm, side DB = ZCAB to the nearest degree 10.1 cm, and…

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Q: What is the degree measure of the smallest positive angle 0 for which 6 sin? 0 – sin 0 - 2= 0? %3D…

A: Given trignometric equation,6 sin2θ-sinθ -2 = 0

Q: Find the exact value of cos 0 where 0 is the measure of Angle A in the triangle shown below. 4 in A…

A: →The side opposite to the angle is perpendicular.→cosθ = BaseHypotenuse→In right-angled triangle,…

Q: In the diagram below, KW is parallel to NO. What additional information is needed to prove that AKNO…

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Q: 25 7 R 24 T

A: Given right triangle.

Q: Indicate the two quadrants θ could terminate in. If cot θ =  −1.50, then θ terminates in? e. If…

A: Basic information:   Quadrant Positive trigonometric functions Negative trigonometric functions…

Q: A right trlangle has side lengths 7, 24, and 25 as shown below. Use these lengths to find tan B, sin…

A: Given:

Q: Find the angle 0 between v = cos 120°i+ sin 120°j and w= cos 135°i+ sin 135°j. If necessary, round…

A: Given, v=cos120∘i+sin 120∘jw=cos135∘i+sin135∘j We know that, cos…

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

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Q: In AJKL, the measure of ZL=90°, KJ = 41, JL = 40, and LK = 9. What ratio %3D !! represents the…

A: Please refer the attached image for complete solution.

Q: Using the fact that w rad = 180°, find the degree equivalencies for the following angles measured in…

A: Given data: π radian=180∘ Then, 1 radian=180∘π a) π6 π6 radian=π6×180∘ππ6 radian=30∘

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

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Q: In the given figure, AABC is a right triangle. What is true about AABC? OA. sin(A) = sin(C) and…

A: We know that in triangle sum of all 3 angles is 180°A+B+C=180B=90°A+90+C=180A+C=180-90A+C=90A=90-C…

Q: S. | 2sin°e cos*e de=

A: to find ∫0π2sin6θcos4θdθ we can write cos4θ=cos2θ2 and cos2θ=1-sin2θ substitute the values into the…

Q: In the figure shown, triangle GHJ is similar to triangle PQR. 17 8 15 R H< Based on this…

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Q: A B H G D . F E

A: Measure of angle at the center of the circle is 2π Equal chords of same length at same distance from…

Q: Find the angle between  6j + 16k  and  −4i − j  (to the nearest degree).

A: Let two vectors are u=6j+16k and v= -4i-jTo find angle between two vector use formula, |u| is the…

Q: Find the reference angle. TC 3 h O 17 36 O None of the other answers are correct 4 13T 36 3.

A: We can use the concept of angle in order to solve the given problem.

Q: Solve for the angle u, where 0 &lt; u &lt; 2pie.

A: Consider the given information sin2u=cos2u   cos2u-sin2u=0 It is known that cos2u-sin2u=cos2u So,…

Q: Use reference angles to evaluate sec(15*P1/4) The reference angle is? Sec(15*pi/4)?

A: Given : Use reference angles to evaluate sec15π4 To find : The reference angle  and sec15π4.

Q: Given v-5i+2j and w=2i-4j, find the angle between v and w to the nearest degree

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Q: What is the reference angle ô of P(0) in the 3rd quadrant? O T -

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Q: 10. Use the trigonometric ratio sin A = 0.38 to determine which angle of the triangle is ZA. 1.3 cm…

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Q: Find c if a = 2.23 mi, b = 3.16 mi and ZC Enter c rounded to 3 decimal places. 41.8 degrees. %3D C =…

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Q: Find c if a = 2.15 mi, b = 3.15 mi and ZC = 40.3 degrees. Enter c rounded to 3 decimal places. C=…

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Q: given the indicated parts of a triangle ABC with y=90 degrees, approximate the remaining parts…

A: Trigonometry ratio

Q: Match each angle with its corresponding reference angle. 117 a. b. C. d. e. 22 T 9 28 TT 9 -23 T 12…

A: We have to find solutions

Q: An angle of measure 1 exact vəlue of cos(120

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Q: 16. Given the figure below, if side CD = 12.5 cm, side DB = 10.1 cm, and side DA = 10.8 cm,…

A: Given that side CD=12.5cm, side DB=10.1cm, side DA=10.8cm .

Q: Find the angle 0 between v = cos 60°i+ sin 60°j and w = cos 135°i+ sin 135°j. If necessary, round to…

A: Find the angle between two vectors

Q: Calculate angle K In degrees. [16 1 E (5x + 3)° 127° (10x+7)° 88°

A: Given quadrilateral JKES

Q: Consider the angle e on a standard coordinate plane such that| cot(e) = 6; sec(0)<0, What is the…

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Q: Find the missing measure  S=7 in, theta=3 radians, r =?

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Q: use the given triangle. 5/3 10 5 What is the value of Sec Z? 0.87 1.73 0.5| 1.15 N-

A: This question can be solved using the concept of value of trigonometric functions in a triangle.

Q: Find e if a = 2.21 mi, b = 3.34 mi and ZC = 41.9 degrees. Enter e rounded to 3 decimal places. mi;…

A: By using cosine rule we can solve this question

Q: Find the unknown angle measures in each of the figures. 2. 1. 26° D 70° P. R 3. А- キ C 4. D 110° 42°…

A: Angles opposite to equal sides are equal .

Q: If 0° < 0S 360°, find all the angle measures of 0 that makes sec 0 = -V2 and Ssc e = V2.

A: Given,           secθ=-2 and cscθ=2To find : The measures of all angle, θ.

Q: the nearest tenth. Use Area31/2bcSinA 1½bC sinA 12) E C. 6 miDA 66 13 mi =6 F B) 4.3 mi? D) 31.9 mi?…

A: The given triangle has mesaures,∠D=66°, ED=6 mi, DF=13 mi

Q: In AEFG, the measure of ZG=90°, EG = 11, FE = 61, and GF = 60. What ratio represents the sine of ZF?

A: Given: To Find:

Q: Replace the letters with the equivalent degree and radian measures shown in the table below. Degree…

A: The Solution for the above question is as shown below.

Q: Question 5 In AUVW, the measure of ZW=90°, UV = 8.5 feet, and VW = 4.7 feet. Find the measure of ZV…

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Q: In APQR, sin Q = , sin R = , and q = 1 15. 3' 5' Find the side length r. Select the correct answer…

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Q: The dimensions of A QRS shown below are in units. 15 12 9 R Which ratio represents the value of sin…

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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.