Write the complex conjugate of the complex number. −3 −√3i   Multiply the number by its complex conjugate. (Simplify your answer completely.)

Q: Suppose an angle a is drawn in standard position. In each case, use the information to determine…

A: We have to find the position of the given angles in quadrant a) cosec(a)<0 and tan(a)>0  b)…

Q: Solve triangle ABC. (Round your answers to one decimal place.) LA = LB = 2C= O O O 12 A< C 41 40 B

A: The given triangle has measures AB=41, BC=40, AC=12 We have to find the measures of ∠A, ∠B, ∠C.

Q: Using the sum of difference formulas, find the exact value of sin(165°). Express your answer in the…

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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: In the figure below, find the following. (Round your answers to three significant digits.) 60.0⁰…

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Q: Find the area of the triangle if a = Area b in² a B 14 inches, b 13 inches, and y = 85°. Round to…

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Q: Find the exact value of each of the following under the given conditions. √10 4 x 10 0<x< sin…

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Q: Given sin O O O 29 tan > 0, calculate the value of sec 0. 20 21 21 29 29 20 21 20 20 29 21 and

A: Given:- sinθ=-2029 ,tanθ&gt;0

Q: If the angle is in standard position and P(x, y) is a point on the terminal side of 0, and r is the…

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Q: Simplify the trigonometric expression. 1 + csc x cos x + cotx

A: NOTE: Refresh your page if you can't see any equations. .

Q: Use the word bank below to fill in each label. 312 :: Amplitude :: Midline 21 782 Period :: Maximum…

A: By using the word bank to fill in each label in the following figure.

Q: verify the identity and justify the steps taken (sec x + tan x)(csc x - 1)=cot x

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Q: 4 cos sin 0+3cos0=0

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

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

A: Given data, sin7x=x

Q: Consider ΔABC which has verices A(0,8), B (5,7), and C (2,5). John belives that ΔABC is an isosceles…

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Q: Write the given expression as an algebraic expression cos(2 sin ¹(x))

A: To solve in terms of x.

Q: Find the exact simplified solution to the equation below so that 0 ≤ t ≤n. 1 + tan(t) = 0 sin(t) t =

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Q: Name the ordered pair of one of the zeros for the following function f(x) = x² + 8x - 9

A: To find the zeroes of given function

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: Describe the transformation of the given trigonometric function. A) y = -3 sin(z + ) - 2 □□□0 B) y =…

A: Given:  A) y=-3sinx+π6-2  This is in the form AsinBx-C+D Here A is Amplitude          B is Period…

Q: I am not sure how to solve these equations 4 sec (2 x theta)-5=3 4 sin^2 (4 x theta)=1 2 sin^2 (2…

A: (1).   The given trigonometric equation is:4sec(2θ)-5=3

Q: 1 attempt remaining. 23 X 60° In the triangle given in the graph the length of the side x = Submit…

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

Q: Given sin(a) = 3/5 and 0 < a < pi/2, find the exact value of sin(a/2). Note: you are not allowed to…

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Q: If y = 93°, b= 17.1, c = 27.65, find all unknown side lengths and angle measures. Round to the…

A: NOTE: Refresh your page if you can't see any equations. . here we have

Q: Simplify the expression by using a Double-Angle Formula. (a) 2 sin (19°) cos(19⁰) (b) 2 sin(40)…

A: To simplify the expression by using a Double‐Angle Formula.a 2 sin19° cos19°b  2 sin4θ cos4θ

Q: Solve the equation in the interval [0, 2π). Enter your answers as a comma-separated list. sin² (t)-…

A: Given sin2t - 8 sint -9=0       ;[0, 2π)

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

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Q: Find the length s and area A. The length of the arc is yards. (Round to three decimal places as…

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Q: A light is suspended at a height h above the floor. The illumination, I, at a point P is inversely…

A: Given data÷ The illumination at point P is inversely proportional to the square of the distance r,…

Q: Writing a Complex Number in Standard Form In Exercises 47-58, represent the complex number…

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Q: 41. Height Because of prevailing winds, a tree grew so that it is leaning 4° from the vertical. At a…

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Q: Find the area of the sector of a circle of radius 5 meters formed by an angle of 120°. ... The area…

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Q: O AMOI Use a calculator to find the approximate value of the following expression if possible.…

A: We have given to find cos-13.1 cos-1x have domain -1,1 As, 3.1&gt;1 cos-13.1 : Impossible

Q: Find the radius of a circle which has a sector of area 6 square feet determined by a central angle…

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Q: Using the Law of Cosines In Exercises 7-24, use the Law of Cosines to solve the triangle. 7. Am 12…

A: In the given triangle AB=18in,BC=12in,CA=16inTo solve the triangle means we are required to find ∠A,…

Q: The harmonic motion function d (t) = 4cos(3t), in which dis measured in centimeters and tis measured…

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Q: K Let f(x) = sinx, - sxs and g(x) = cos x, 0≤x≤. Find the exact 2 value of the composite function. 9…

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Q: The sides of the triangle are 12cm, 14 cm and 17cm respectively. a. Find the radius of the inscribed…

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Q: A water sprinkler sprays water over a distance of 30 feet while rotating through an angle of 125°.…

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Q: Use an appropriate Half-Angle Formula to find the exact value of the expression: Tan15

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

Q: Find all solutions of the equation sin(theta/2) - 1 = 0

A: To find all solutions of the following equation.sinθ2-1=0

Q: Convert the polar equation to rectangular coordinates. (Use variables x and y as needed.) 6 r=…

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Q: Graph the complex number. 5+2i -6-5-4-3-2-1 Im i -it Im 1 2 3 4 5 6 Re Re O -6-5-4-3-2-1 -i Im il it…

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Q: A clock is hung on a wall so that the center is 20 cm below the ceiling. The minute hand is 10 cm…

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Q: Begin solving the triangle by using the Law of Sines to determine the angle B. sin A sin B a b sin…

A: To explain how you get the smaller angle and bigger angle of B for the given situation.

Q: A pair of parametric equations is given. x=4sin(t) y=4cos(t) 0<t<pi Find a…

A: x=4sin(t)   y=4cos(t)

Q: If y = 93°, b = 18.35, c = 27.3, find all unknown side lengths and angle measures. Round to the…

A: From the given figure, γ=93°, b=18.35, c=27.3   As we know from the Sine rule: asinα=bsinβ=csinγ

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 values of the following trigonometric functions. (If an answer is undefined, enter…

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Q: Answer the following as required. 1) Determine the amplitude and period of y = -7 sin Amplitude: 2)…

A: If a function look like y=Asin(B(x+C))+D where A is amplitude, period is 2πBSame for cosine function