114. Length of a Fold The lower right-hand corner of a long piece of paper 6 in. wide is folded over to the left-hand edge as shown. The length L of the fold depends on the angle 0. Show that 3 L = sin 8 cos*e 6 in.

Q: A right triangle has side lengths d, e, and f as shown below. Use these lengths to find tanx, cosx,…

A: It is a right angle triangle.

Q: 28. Given a right triangle A ABC in which the hypotenuse AB has length 1. Show that n= sin(A) and…

A: First I have prove for , hypotenuse = 1  And then for, |AB|=k Just use the property of Right angle…

Q: 33 Let x = 65 be the x-coordinate of the point P(x, y), where the terminal side of angle 0 (in…

A: Multiple questions-"As per our guidelines we are suppose to answer only one question.Kindly re-post…

Q: 8. For the angle e= 210° moving counter-clockwise in standard position, determine which primary…

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Q: (135) Find tan e, given that Sin e = 2 Cind e IS in quadrant I.

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Q: A right triangle has side lengths d, e, and f as shown below. Use these lengths to find sin x, cosx,…

A: Solution: The objective is to find sinx, cosx and tanx

Q: Find the length to three significant digits of the arc intercepted by a central angle 0 in a circle…

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Q: Find the length s of the arc of a circle of radius 80 meters subtended by the central angle 1…

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Q: Find the other five trigonometric ratios of 0. cos 8 = tan 8 = csc e = sec e = cot 8 =

A: Given: Triangle has acute angle sin θ=513

Q: Use the drawing provided to show that the area of the isosceles triangle is A = s? sin 0 cos 0. S…

A: From the triangle, using the trigonometric ratio, sinθ=xsx=ssinθ and, cosθ=ysy=scosθ

Q: 19x Find an angle 0 that is coterminal with an angle, in radians, measuring 9. -, where 0 <0 < 2n.…

A: We need to find the terminal angle of the provided angle.

Q: A right triangle has side lengths d, e, and f as shown below. Use these lengths to find sin x, cosx,…

A: Solution: The objective is to find sinx, cosx and tanx

Q: se the unit circle to find all values of theta between 0 and 2? for which the given statement is…

A: We have to find angle

Q: 7 Compute the exact value of cos (금) Suppose that - is an angle in quadrant 2 and that cos y = 25…

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Q: 12 (b) If for a right-angle triangle, for the acute angle 0, sin e then, 13 %3D -- find the values…

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Q: 11) Use a calculator to find the Angle, approximate to two decimal places. Make sure Calculator is…

A: Given that: 11-(a)cosθ=0.1736         (b)cotθ=2.7474

Q: 10. Given the ratio for csc 0 , find the remaining ratios. sin 0 = csc 0 = 2 cos e = sec0 = tan 0 =…

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Q: 8. If tan 0 = -4 and P(0) is located in quadrant IV, which of the following is TRUE? O P(0) is on…

A: Hence option (a) is correct.

Q: 1. Determine the correct formula for tan ratio of 8. adjacent opposite B tan 9 = A. tan 8 = adjacent…

A: Given

Q: Use the given info.to find the exact Value ot cach a) Sin 20 b) Cos 20 c) tan 20 Cot 0 = 10, 0 lhes…

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Q: Find the area of the part of the circle r = 9 sin 0 + cos 0 in the fourth quadrant .

A: Area = 12∫abr2dθ In the fourth quadrant, θ is varying from 3π2 to 2π Hence, a=3π2 and b=2π

Q: 1.What are the sine, cosine and tangent ratios for <X? 12 13 in

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Q: 1. What is the Tangent (tan) of angle R below? Remember to reduce * 36 15 R T

A: The law of Tangent which is also called as tangent formula or tangent rule is the ratio of the sine…

Q: Homework Conformation.

A: Note: (1) we can find the angles manually if the 'trigonometric function' have a 'standard value.'…

Q: Use the unit circle to find all values of e between 0 and 27t for which the given statement is true.…

A: Given; Cos(theta)=-√3/2.

Q: IfØ is the angle between a line through the origin and the positive x-axis, the area, in cm?, of…

A: Given that: A=3θ+4sinθ+12sin2θ Therefore, rate of change of area charging is as following: dAdt.…

Q: The lower right-hand corner of a long piece of paper 6 in wide is folded over to the left-hand edge…

A:

Q: Sketch a triangle that has acute angle e. tan(0) = 2 V 85 2 V77 V 85 V77 Find the other five…

A: Given that tan(theta)= 2/9 and find  Sin(theta),cos(theta),sec(theta),csc(theta),cot(theta). Here i…

Q: Find the length to three significant digits of the arc intercepted by a central angle 0 in a circle…

A: Given that: Radius of the circle, r=10.6 cmθ=8π9 radians

Q: The lower right-hand corner of a long piece of paper 6 in wide is folded over to the left-hand edge…

A:

Q: The area A of a sector of a circle with radius r and central angle θ, where θ is measured in…

A: Circle: The area A of a sector of a circle with radius r and central angle θ, where θ is measured in…

Q: Q 11: Determine the measure of the central angle that is formed by and arc length of 5 cm in a…

A: Solution: Given, Arc length(s) = 5 cm            Radius(r) = 2.5 cm Now, We know that arc length(s)…

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: 4. Find the exact values of the 5 other trigonometric ratios given sece = and sine < 0. sin e = Csc…

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Q: 1. Given sin0 = -, where 0° <0 < 360° II a) Which quadrant(s) could the terminal arm of 0 lie in? b)…

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Q: 4. Using the unit circle, calculate the value of tan(). -1 O 1

A: We have to calculate tan5π4 using a unit circle. Let us draw a circle of unit radius. The equation…

Q: 6. Use the following trigonometric ratio to determine all theta values to the nearest degree between…

A: Given query is to find the value of theta.

Q: 4 with e in quadrant IV, find sin 28. Given that sin 8= 24 O A. 25 O B. 25 OC. OC. 25 24 OD. 25

A: sinθ=-4/5 θ is in quadrant IV sin2θ=2sinθcosθ (formula used)

Q: Use the given information to find the exact value of sin 20. tan 0= 24 O lies in quadrant II 527 O…

A: This question is related to trignometry we will use trignometric identities to solve it.

Q: 5) Given a right triangle, find the trigonometric ratios for sin(0), cos(0) and tan(0). a by

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Q: 4. Write the trigonometric ratio for cos Y as a fraction and as a decimal rounded to the nearest…

A: The given triangle is : To find the value of cosY

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

A:

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

A: -513, 1213 x-coordinate of any point on the unit circle is cosine value and the y-coordinate is sine…

Q: 10.) Plot the graph of X= 2 cot ə 2 Sin o S ke teh the to the right! Find the volve of the ta that…

A: We have x = 2 cot θ; y = 2 sin2 θ, a parametric equation.1. The graph of the given equation is

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

A: Angle θ is angle in standard position whose terminal side intersects unit circle at 1213,-513

Q: 11 Suppose that 0 is an angle in standard position whose terminal side intersects the unit circle at…

A: Explanation of the answer is as follows

Q: 1. Solve for x in the following triangle: 85 60° 30° 2. Determine the other trigonometric ratios…

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Q: Use the information given below to find sin (a - B). 5 with a in quadrant III 12 tan a = 4 with B in…

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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: Homework Conformation.

A: