simplify and write the complex number in standard form 11) (5 + 2i) + (6 - 7i) 13) (-2 - 4i) - (5 - 8i)

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A: Rewrite    as an angle where the values of the six trigonometric functions are known divided by   .…

Q: Determine each of the following reference angles. (a) If 0 = -326° then the reference angle e' is…

A: To determine each of the following reference angles.(a) (b) Note: Since the student has posted…

Q: tify and express the function from the graph given either as a sine or cosine fum 6 5

A: We have to express the graph as sine or cosine function.

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Q: Find the power. Write the answer in rectangular form. (-3+3i√√3)4 (-3+3i√/3)*4 = (Simplify your…

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Q: Prove the identity. Work on one side only. cos(4x) = 18 sin² x+8 sin ¹ x

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Q: If sin = cos 0 0: = √/2 " determine the value of sin (20).

A: we given

Q: Write the equation of the graph below. Use a sine function.

A: graph of sine

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Q: Find the period and amplitude y=-1/2 sin(5x/4) period amplitude   Describe realtionships…

A: Note : As per our guidelines, we can solve first question. Please repost remaining questions.

Q: secx=tanx+1 Write your answer (s) in radians in te If there is more than one solution, s x

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Q: Find the exact value of cos (a + ß) if sin a= 45 and sinB = 12 13 with a in quadrant II and B in…

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Q: b) 6(sin x)² + cos 2x + 1 = 0 [0,2π] I

A: Solution6 sin2x+cos 2x+1=0we know cos 2 x= 1-2 sin2xput this value in the given equation,6 sin2 x+…

Q: State the transformations, in proper order, that are needed to turn f(x) = -8 log10 (x) + 6 into = 4…

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Q: Match each point in polar coordinates with either A, B, C, or D on the graph. A (1) B 11x 6 II K 6 6…

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Q: If sin = о O O O COS 0= cos -V √√3 2 = 9 what are the possible values of Cos 0 and tan ? -, tan0 =…

A: Since we know that cos(x) =√(1-sin^2(x)) tan(x) =sin(x) /cos(x)

Q: Determine the exact value of COs 15°? √3-1 √2 √3+1 2√/2 √3+1 √2 √3-1 2√2

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Q: Find the length of an arc in a circle of radius 10 centimeters subtended by the central angle of…

A: Let r is the radius of the circle Let  be the angle subtended Then length of the arc subtended by…

Q: Calculate the x and y components of the vector given below. Do not round any intermediate…

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Q: Evaluate the following expressions. The answer must be given as a fraction, no decimals. If the…

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Q: Plot the point given polar coordinates (-6,- 150°). Give two other pairs of polar coordinates for…

A: We need to find coordinates of the point and two other pairs.

Q: c) (cos 2x)² + cos 2x + 1 = 0 [-π, π]

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Q: If cos a = (a) sin a = (b) tan a = (c) csc α = (d) sec a = (e) cot a = 7 25 and 0 < a < uno NE use…

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Q: verify the given identity 87) csc2x = 1/2 cscxsecx 89) cos(x)/(5) = 1 - 2sin2(x)/(10)

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Q: Find all degree solutions for the following. sin(38) = 1/2 Enter the angles from small to big:…

A: we have to find the values (smaller and greater) for the given question

Q: b. sin-¹ (sin 135°)

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Q: The angle equals (a) Enter the following trigonometric functions in exact value (do not use…

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Q: Write the expression as an algebraic (nontrigonometric) expression in u, u > 0. sin (arccos u) sin…

A: We have to slove above questionSin(arccos u)

Q: Find the measure in degree(s) of the acute angle a with the following given trigonometric function…

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Q: A hyperbola has its center at (1, 7); focus at (-2, 7); vertex at (0, 7). Give the equation for this…

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Q: Find all solutions of the equation in the interval [0, 2π). sec ²0+ tan 0 = 1 Write your answer in…

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Q: Which expression is NOT equivalent to 1 + sin 2t? Osin²t+sin(2t) 1+2 sint cost sin² t + 2 sint cost…

A: The given expression is .The aim is to find the expression that is not equivalent to the given…

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Q: What is the amplitude of graph y = ½ sin(x)? Show all work and needed asap!

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Q: 1. y = 4 cos (x) Amplitude Period Vertical Shift Horizontal Shift

A: We have,   y = 4 cos(x)

Q: consider a triangle ABC like the one below.suppose that B=129,a =33,and c=72.(the figure is not…

A: The solution is shown in step-2

Q: .30 elves exit Chocolatetown (not from Vanilaville) 20% of elves move from Chocolatetown to…

A: There are following information given,1. 30 elves exit Chocolatetown.2. 20% of elves move from…

Q: For the plane curve, (a) graph the curve, and (b) find a rectangular equation for the curve. x = 4…

A: Using All sin tan cos rule we found that in the interval given sin is a positive function.Therefore,…

Q: Find the value of each expression below (do not use a calculator). (a) sin-¹ 12. radian(s). √2 (b)…

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Q: Give a complete graph of the polar equation r= 6-6 sin 0 and identify the type of polar graph.…

A: The solution is shown in step-2

Q: Two planes leave an airport at the same time. Their speeds are 150 miles per hour and 140 miles per…

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Q: Use the figure to evaluate a+b, a-b, and - a.

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Q: For the equation, identify the amplitude, period, and phase shift and sketch (at least) one complete…

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Q: verify the given identity 79) sin2(x)/(2) - cos2(x)/(2) = -cosx 81) sin2x - cosx = (cosx)(2sinx-1)

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Q: use the power-reducing identities to write each trigonometric expression in terms of the first power…

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Q: Write the equation of the graph below. Use a sine function 5 4- 3- 2 1 y π 2πQ

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Q: a cyclic quadrilateral whose three sides are 3, 13, 13 meters. the fourth side is the diameter.…

A: A cyclic quadrilateral whose three sides are 3, 13, 13 meters and the fourth side is the diameter.To…

Q: Which of the following functions has both a vertical reflection and a horizontal reflection? Of(x) =…

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Q: If a function is of the type y= A sin(B(x – C)) - D and the amplitude is 2, there is an expansion of…

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