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Q: A rectangle is to be inscribed in a semicircle of radius 6 cm as shown in the figure bel -6 cm- Find…

A: solution:-radius, r=6 cmusing trigonometric ratiosOA=rcosθAB=rsinθ

Q: let cosA=7/25 with A in QIV and sinB=-8/17 with B in QIII Find the exact value of sin(2A)

A: Given:- We use sin2θ+cos2θ=1⇒sinθ=±1-cosθand ⇒cosθ=±1-sinθ Also sin2θ=2sinθcosθ

Q: 4 cos sin 0+3cos0=0

A: Given query is to find the solution of the expression.

Q: a 12m 3 4 16m Find the length of sides ad, dc b - 5 2 10 side be = 22m where bd = 10m and de = 12m…

A: To find the length of sides ad, and dc.To find ∠11.

Q: Using the right triangle below. 5 O Evaluate the following trigonometric functions. cot B sin 0 =…

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Q: Practice 12. Find the unknown sides x and y, to the nearest thousandth. Please note that the…

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Q: Find the exact value of each of the remaining trigonometric functions of 0. 12 13 cos()) = 0 in…

A: As we know that in quadrant II only sin and csc is positive and rest trigonometric form are…

Q: In the circle below, the radius is 14 inches and the length of the subtended arc is 7/3 inches. 14…

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Q: Write the given expression as an algebraic expression in x: COS (2sin-¹x)

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Q: Convert the polar equation to rectangular coordinates. (Use variables x and y as needed.) r cos(0) =…

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Q: 1 cos 28+ sin 20 1+ cos 28+ sin 20 tan e

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Q: Find the solutions to the equation in the interval 0 ≤ B ≤ π. 2 cos(2B) + 1 = 0 = R/3 T

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Q: The triangle below has sides with lengths a = Find the measure of the smallest angle. Round to the…

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Q: Find the area of the triangle if b = 12 inches, c = 24 inches, and y Area in² a B = 91°. Round to…

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Q: Give the smallest two solutions of cos(5θ) = -0.7773 on [ 0,2π). Separate the two solutions with a…

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Q: The exponential function f(x) = (²¹)* +3 has the ---Select--- asymptote y = This means that as x→…

A: Given data:- The given exponential function is,f(x) = 16x+3

Q: A cable railway is driven by two large 14-foot-diameter drive wheels, called sheaves. Because of the…

A: Given angle =2700   Diameter= 14 foot.

Q: A circular arc of length 12 feet subtends a central angle of 85 degrees. Find the radius of the…

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

Q: 2 sin² (100) + 3 sin(100) + 1 = 0

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Q: Complete the sentence below. The graph of y tan x is symmetric with respect to the and has vertical…

A: Vertical Asymptote:- A line x=L is said to be vertical asymptote of a function f(x) if limx→L-…

Q: 11. Solve 3 see x-2 tan x-4 (give the general solution). 12. Solve 2 sin² x - sinx-1-0 (give the…

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Q: Find the expression that is equivalent to sin 90° cos 40° + cos 90° sin 40°. Choose the correct…

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Q: Name the quadrant in which the angle 0 lies. cos 0 <0, tan 0 <0 Choose the correct answer below. OA.…

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Q: 3T in(-x) + sin(x − x) + sin( ³3 - x x+sin(2-x)

A: Given query is to simplify the expression.

Q: Using clear notation to define each inverse trigonometric function, and clearly presenting any…

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Q: A population increases according to P(t) = 230(1.03)t where t is the time in years since 2000. (a)…

A: Given:- A population increase by model Pt=2301.03t

Q: The graph of y = (8x-16)/(x-1) has a vertical asymptote. What is it?

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: Suppose you are standing at a distance, d, of 200 feet from a statue of height h feet. h d 0 Express…

A: As we know that tanθ=HeightBase for an right angle triangle with one acute angle θ.

Q: (r, 0) = 2 Need Help? -R π/2 Read It Give two other polar coordinate representations of the point,…

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Q: tan(0) = csc(0) = sec(0) = 8 cot(0) = 41 3281 9 40 Find the other five trigonometric ratios of 0.…

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Q: Use the rules for working with measurements to give your answer to the appropriate accuracy and/or…

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Q: Solve the trigonometric equation in the interval [0, 2x). Give the exact value, if possible;…

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Q: Express the lengths a, b, c, and d in the figure only in terms of the trigonometric ratios of 0. The…

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Q: In ΔLMN, n = 960 cm, ∠L=160° and ∠M=10°. Find the length of l, to the nearest centimeter. Use Law of…

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Q: Procedures and Problem Solving Using the Law of Cosines In Exercises 7-24, use the Law of Cosines to…

A: Given query is to use the cousin law.

Q: (c) Use t-formulae to find the exact value of 2 tan 11 12 ,2117 12 1-tan

A: To find the exact value of

Q: Express the lengths a and b shown in the figure in terms of 0. a = b = 10 18 b a

A: Use trigonometric ratios.

Q: The inequality sin x + cos(2x) < -5, in the interval [0, 2π], is satisfied for

A: sinx+cos2x&lt; -52

Q: Simplify the absolute value 4|cos ?| if ? = sin−1 x/4 for some real number x. (Give your answer in…

A: Solution is given below:

Q: d Use the information in the image above to answer each question. Use exact answers a) Express d as…

A: Given query is to find the perimeter in terms of θ.

Q: Finding the Angle Between Two Vectors In Exercises 23-30, find the angle between the vectors. 29.…

A: Topic - Angle between vectors We are given, 29.)u=cos(π3)i+sinπ3jv=cos(3π4)i+sin3π4j

Q: Meghan received an excellent interest rate for her loan of $12,000. Calculate the nominal interest…

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Q: A water sprinkler sprays water over a distance of 40 feet while rotating through an angle of 145°.…

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

Q: y = and Sing

A: Given function of y=arcsinθ We need to plot a graph for given function.

Q: Use a graphing device to find the solutions of the equation, rounded to two decimal places. (Enter…

A: Given data, sin7x=x

Q: Find the exact value of cot2pi/3

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Q: solve for x, if 0 < x < 2pi. Give your answer using exact values only. 2sinx-cotx-cscx=0

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Q: Solve

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Q: Rewrite the expression as an algebraic expression in x. sin(tan-¹(x))

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Q: 2. An equation is given. (a) Find all solutions of the equation. (b) Find the solutions in the…

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