The dimensions of QRS shown below are in units Which ratio represents the value of sin Q

Q: right triangle has side lengths 7, 24, and 25 as shown below. se these lengths to find tan B, sinB,…

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Q: 5. A man observes a balloon at a 62° angle of elevation. He knows the balloon is hovering directly…

A: The given diagram is                                                     The Angle of elevation is…

Q: 4 and sinß 3' Find the lengths of 5 %3D 88. In the figure, TD 15, DE = 8, tanɑ = %3D а. АС b. AD с.…

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

Q: A triangle is measured and two adjacent sides are found to be 3 inches and 4 inches long, with an…

A: Given area formula is not actual, area=(1/2)ab sin(theta)

Q: Find the exact values of the six trigonometric ratios of the angle 0 in the triangle. 16 30 sin(0)…

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Q: Find sin 8, where 8 is the angle shown. Give an exact value, not a decimal approximation. e 5 sin =…

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Q: Which of the following is equal to cot (T + 0)? sin(0) cos(0) sec(0) csc(0) tan(0) cot (0) - sin(0)…

A: As per guide line we have to solve 1st question

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Q: 2. (a) The 4th term of an A.P is 15. The sum of the first three terms is 9. Find the first term and…

A: (a)  Given: The 4th term of an A.P is 15. The sum of the first three terms is 9. To find: The first…

Q: A right-angled triangle has sides a,b and c and the angle e, as shown below, 2.1 Write down the…

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Q: 10.3 cm Which equation can be used to solve for the measure A В of angle ABC? 2.4 cm 10 cm 2.4 O…

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Q: 3 Let 0 be an angle in quadrant III such that sin 0 Find the exact values of sec 0 and tan 0. sec 0…

A: Note the identities : sin2 θ+cos2 θ=1 cos θ · sec θ=1 tan θ=sin θcos θ

Q: 7. In right triangle JKL in the diagram below, KL = 7, JK = 24, JL = 25, and mZK = 90° 25 7 24 K.…

A: In a right angles triangle, Hypotenuse is a side opposite to 90° angle. Opposite side is a side…

Q: #6 Consider a right triangle with legs 3 inches and 4 inches. If θ is the acute angle opposite to…

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Q: 8 is an acute angle and sin 0 and cos e are given. Use identities to find the indicated value. cos 8…

A: Given sinθ=74cosθ=34

Q: B 25 Use the given right triangle to find ratios, in reduced form, for sin A, cos A, and tan A. 7 24…

A: The triangle is given by

Q: Use the relationships among the trigonometric ratios to find the values of the other two ratios. You…

A: “Since you have asked multiple question, we will solve the first question for you. If youwant any…

Q: 12 35 Suppose that 0 is an angle in standard position whose terminal side intersects the unit circle…

A: Solve using trigonometric rations

Q: 16. With respect to the given angle, what is the ratio of the hypotenuse to the opposite side? A.…

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Q: а. Find sin 0 if tan 0 = 3 and cos 0 < 0. b. The supplement of an angle is four times its…

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Q: 5 + 2i to its trigonometric form, that is r(cos+ i sin 0) is in radians to 3 decimal places and in…

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Q: 4. Triangle ABC is a right triangle, with C = 90°. If a = 1 and c = 3, find cos B, sin B, and tan B.…

A: We have to find

Q: Given: sin A = and cos x = - 12; evaluate the following expression. %3D (8: Quadrant I, x : Quadrant…

A: We can find the answer as below.

Q: 23. Suppose that sin 0 = 4/5 and that 0 is a Quadrant II angle. %3D (a) Find the exact value of cos…

A: We have to find costheta

Q: 40 Suppose that 0 is an angle in standard position whose terminal side intersects the unit circle at…

A: Given that θ is an angle in standard position whose terminal sides intersects the unit circle at the…

Q: triangle ABC has sides AB of length 13 cm, BC of length 17 cm, and AC of length x cm. The angle ACB…

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Q: please show work, thank you

A: Given θ=135° and β=7π3

Q: 19 In the figure below, AC represents a support wire x feet long. The wire is attached to a tower at…

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Q: 1. a) Tan(x) = - and x is in the second quadrant, then find Sec(x), %3D Cos(x), Sin(x), Cot(x) and…

A: Trigonometry

Q: A right triangle has side lengths 3, 4, and 5 as shown below. Use these lengths to find sinL, tanL,…

A: We have to find angle

Q: A triangle is measured and two adjacent sides are found to be 3 inches and 4 inches long, with an…

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Q: 4. For an angle 0, tan(0) is a negative number. Which quadrants might 9 be in? O quadrants II and IV…

A: We have to find the quadrant

Q: 10 The angle 6, is located in Quadrant I, and cos(01) 17 What is the value of sin(01)? Express your…

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Q: The sine, cosine, and tangent ratios each have a reciprocal ratio. The reciprocal ratios are…

A: Given data: The longest side of the triangle is AB=39. The one leg of the triangle is AC=15. The…

Q: 3 Reference angle Sin Sin 4 sq2 Reference angle Cos360°= Cos Reference angle Sin Sin 21 o add…

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Q: 44. Which trigonometric ratio use to find p on the figure? 24 Cos 36°= a. Sin 36° -P 24 26 b. c. Tan…

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Q: 23. Suppose that sin e =4/5 and that e is a Quadrant II angle. (a) Find the exact value of cos 0.…

A: follow next step

Q: A right triangle has side lengths 5, 12, and 13 as shown below. Use these lengths to find cos X, sin…

A: To find cosX, sinX, tanX

Q: (b) In a certain right triangle, one angle measures radians and the adjacent side has length 23.…

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Q: 3 2. Given angle: 4 Coordinates cos 0 = sin 0=

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

Q: 19. Suppose that cos 0 = 3/4 and that 0 is a Quadrant IV angle. (a) Find the exact value of sin 0.…

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Q: 3. On a unit circle, the terminal side of Angle 0 intersects the circle at point (x, y). Underline…

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Q: 2 For an angle in standard position, tan VI and <<T. 4. a) Determine the approximate value of 0, to…

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Q: Directions: Give each tig ratio as a fraction In simplest form. 1. • Sin Q = 14 50 • Cos Q = Tan 0 =…

A: Please rate and feel free to ask any query about any part,

Q: 8 is an acute angle and sin e is given. Use the Pythagorean identity sin? e+ cos e = 1 to find cos…

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Q: 43. Given that tan x = - and n<x< S find the exact values for the three trig ratios for Use the half…

A: As the value of tanx is given and x lies in the 3rd quadrant tanx=52we know that…

Q: Given: sin A = ! and cos x = - ; evaluate the following expression. %3D (8: Quadrant I, x : Quadrant…

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Q: The terminal side of angle 0 intersects the unit circle in the first quadrant at x = 0. What are the…

A: The terminal side of angle θ intersects the unit circle in the first quadrant at x=2021. We have to…

Q: 41 Let 0 be the measure of an angle, in radians, in standard position with a<0< Find the exact…

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Q: An angle of measure 3π/4 intersects the unit circle at point (−sqrt(2)/2,sqrt(2)2). What is the…

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Fundamentals of Trigonometric Identities

Trigonometric Identities are the equalities that involve trigonometry functions and hold for all the values of variables given in the equation.