21. Given: AXYZ with angles as shown in the 75° drawing XY 12 Find: (HINT: Compare this drawing to the one for Exercise 20.) 45° 09

Q: Suppose v. w = 6 and ||7× w|| = 4, and the angle between ỹ and w is 0. Find (a) tan 0 = (b) Ө —

A: v · w= |v| × |w| × cos(θ) =6 v × w = |v| |w| sin(θ) =4

Q: 8. If cot t and t is in quadrant II , find sec t 15 Simplifv

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Q: For positive acute angles A and B, it is known that cosA= 12/13 and tanB=8/15. Find the vaule of…

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Q: Suppose that is an angle in quadrant 4 and that cos y 7 Compute the exact value of cos «(금). 25 cos

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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: 10 to In the figure above, sin x° What is the perimeter of the figure?

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Q: 14 as In the diagram below, Se and PR intersect at T, Pe is drawn, and PS|| QR

A: In the given figure, ∠PTS = ∠RTQ (vertically opposite angles)

Q: Item 59 refers to the following diagram of a right-angled triangle. 12 59. From the diagram above,…

A: 59. Use Pythagorean formula to find the length of AC.

Q: If tan(a): < a < 27 and B is a Quadrant Il angle with tan(B) 2 1 find 2, where %3D - tan(a + B)

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Q: Drag the label for the length of the sides of the triangle shown that would satisfy the following…

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Q: Suppose we have the following triangle: b 14.8° 6.35 www A 4.80 Give the two possible values for…

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

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Q: Given the figure and the details, find the value(s) of x that will make the triangles congruent.…

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Q: M In OP, JK = 10 and mJLK = 134. Find each measure. %3D %3D K Find the length of segment JQ. Find…

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Q: At what angles between 0 and will one leaf of r = 4 sin 20 and the circle r = 2 will intersect? 5T…

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Q: 6. Find sec 8, given Ihat tan e 3 and e is in quadrant IlI. %3D

A: We have given that  tanθ = 73 and θ is in 3rd quadrant. Use the following trigonometric property:…

Q: AB is tangent to circle O at point B. If OB = 4 and AB = 3, find AC.

A: To find the value of AC

Q: The following relationship is know to be true for two angles A and B:…

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Q: Evaluate the arccos 0 4. 3. 6. k一2

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Q: 2 In APQR, sin P = =, sin Q = , and p = 15. Find the side length q.

A: We are going to use sine rule in the given problem

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

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Q: Given that 5cosß - 3 = 0 and 0° < B < 90° If x + B = 90° and 0° < x < 90°, calculate the value of…

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Q: In APQR, sin P = , sin Q =, and p = 15. Find the side length q. %3D Select the correct answer below:…

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

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Q: Suppose - w = 5 and ||i x u|| = 2, and the angle between i and w is 0. Find %3| (a) tan 0 (b) e

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Q: For the right triangle below, find the measure of the angle. Figure is not to scale. Round to at…

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Q: 10. Find Yne exact value, Seca4o° -D tan "5e O ° CSce 480 1I. what Quadrant? a 2011 O his- G

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Q: 23. In APQR there is a right angle at R, cosQ for PR and PQ respectively are and side QR=4. The…

A: We will solve the problem.

Q: Suppose a right triangle has a leg of length a = 20 and hypotenuse of lengthc=29. Find the length of…

A: Pythagoras Theorem:-292 = b2 + 202⇒ b2 = 841 - 400           = 441 = 212⇒ b = 21Hence b = 21sin B…

Q: Shown are three similar triangles such that ARST AUVW AXYZ- Find the values of Sin Vand tan Y and…

A: It is given that all three triangles are similar.

Q: For the right triangle shown express the cos of θ as a fraction in lowest terms. Side a = 6, side b…

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Q: 17. When the angle of elevation to the Sun is 69', a tower casts a shadow on the ground that is 64.3…

A: We use Trigonometry ratios

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: A is If Sin A = Hhe In the third avuaJantdetermine exact value of tan A. an angle the

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Q: Which of the following statements is true about finding the area of a triangle given that​ A, B, and…

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Q: 2pq If sin A = ,where A is an acute p2+q² • angle of a right triangle, what is sec A? p² + q? p² +…

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Q: Consider this right triangle. 25 R. 24 Select the ratio equivalent to cos(S). A. 25 7. 24 B. 24 25…

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Q: Consider this right triangle. 25 R. 24 T. Select the ratio equivalent to cos(S). 7. 25 24 25 /7

A: The correct option is option (A)  The detailed solution is as follows below:

Q: If e is the radian measure of a central angle of a circle So A = Or 2n %3D Or2

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Q: 3 5' 2 < x <T, find the exact value for each trig half-angle. Given sin x = sin (클) ㅋ Cos

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Q: or the indicated principal angle. Then state t le. (s-

A: First is ( +,-) principle angle second is (-,+) negative anglet Third is (-,-) fourth is (+,-)

Q: aco /s , and Sin 3/5 Given tlat Cos a = a) Sketch the refeence triongle for angle a 4.

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Q: 8 find the following. 15 13 If a and B are acute angles such that csc a = – and cot B = %3D 12 (a)…

A: Given: csc α=1312we know, csc α=1sin α  sin α=1213     so

Q: Find the exact values of r and y given B = 62°, and x = 5. B Note that values of angles should be…

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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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Q: Drag the label for the length of the sides of the triangle shown that would satisfy the following…

A: Given that cosB=941  and tanC=940we have to find AB, AC and BC.

Q: 1 and which is in the interval [0, n] is y = 2 The angle y whose cosine is- radians.

A: Given, cos (y)=-12  where 0≤y≤πEvaluate y

Q: Circle O0 (not shown) is divided into three sectors. Points P, Q, and R are on the circle. Sector…

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Q: In the diagram, DE 1 n. State the theorem or name the definition that justifies the statement about…

A: Given: In the diagram, DE⊥n.