A. Find the quotient when 20(cos75°+iSin75°) is divided by 4(cos40°+iSin40°)   B. Divide z1=1+i√3 by z2=√3  +i  leave answer in standard form. Then change each to trigonometric form and divide again.

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A: Given, cosec(A)=87, 90°<A<180°

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A: We need to find the quadrant in which θ lies.

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A: As we know, From the second triangle, the adjacent side is and the hypotenuse is 2.

Q: Given that

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Q: Suppose that 2 is an angle in quadrant 1 and that cos a = 41 Compute the exact value of cos (G). 841…

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Q: What is cos A, if cos 2A , and 2A is an angle in the fourth quadrant? 16 13 13 16 16 13 13 16 no…

A: The solution of the problem is given in the next step.

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Q: The value of ( cos 30 sin 60 de is 4

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Q: Use the given triangles to evaluate the expression sin π/4 - cos π/4. If necessary, express the…

A: We know that  Sinθ=opposite sidehypotenuse  and cosθ=adjacent side hypotenuse From the first…

Q: Find the remaining trigonometric ratios of theta based on the given information.   sec theta = b and…

A: secθ=b and terminates in Q1.

Q: Find the remaining trigonometric ratios of θ based on the given information. cos θ = 35/37  and θ…

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Q: Use the given information to determine the remaining five trigonometric values. Rationalize any…

A:

Q: Use the given conditions to find the exact values of sin(2u), cos(2u), and tan(2u) using the…

A: Calculate sin u using the identity sin2θ+cos2θ=1. sin2u=1--12132sin2u=132-122132sin2u=52132sin u=513…

Q: 119 Suppose that is an angle in quadrant 2 and that cos a Compute the exact value of 169 cos (). cos…

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Q: Use the given triangles to evaluate the expression cos π/3 . sec π/3 - cot π/3. If necessary,…

A: Given triangle is,

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A: Let us consider a right angled triangle ABC making angle θ at point B and right angle at point C,…

Q: Let a be the shorter leg of a 30°-60°-90 triangle. 60 2a 30 sin 60° = sec 60° = Cos 60° = CSC 60°=…

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Q: Let 0 be an angle in quadrant III such that cos0 = 5'

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Q: Given that cosA=−5/13 and sinB=8/17, with A and B in quadrant II,  Find cos(A-B)

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Q: Use the figure below and the given values to find the specified side length and trigonometric…

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Q: 4. Determine the sign (+ or -) a. cos 143 degree, b. tan 192 degree. c. tna (4 pi/5)

A: Explanation is given below..

Q: Find all angles, os0<360, that satisfy the equation below, to the nearest 1oth of a degree. 4 cos(0)…

A: See below the answer

Q: 8 The angle between 0 and 27 in radians that is coterminal with the angle -π in radians is 3

A: The answer is given below:

Q: Find sin A, cos A, tan A, and sin B, cos B, and tan B in right triangle ABC, with C 5 90°given the…

A: Given that a=1,b=2. Draw the △ABC with C=90° as shown below:

Q: given that sinx=square root of 6/3 and siny=square root of 8/3, and that angles x and y are both in…

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Q: for angle A it is known that cos (A) < 0 and csc (A) = 10.  If A is drawn in standard position, in…

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Q: If a flagpole casts a 13 ft shadow on the ground when the sun is at a 68° angle of elevation, which…

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Q: Determine the exact value of cach of the following: a) cos 60° b) sin 30° c) cot 150° d) tan 120° e)…

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Q: and that angle A is in Quadrant IV, find the exact value of csc A V91 10 Given cos A : in simplest…

A: The objective is to find the exact value of cscA.

Q: Find cos(−Pi/12)using a half angle formula.Express answerin simplest radical form.

A: Note: First I have written the half - angle formula for cosine , just use them for given function…

Q: Use the half-angle formula to determine the exact value of the following. sin 22. 5° V2-V2 2 V2-V2…

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Q: Find the identical expression for the following. cot^2B-cos^2B /csc^2B-1

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Q: What is the value of cos(6) if the terminal side of the angle 0 intersects a circle at the point…

A: It can be solved using the fact that cose angle is adjacent/hypotenuse

Q: Find the value of each trigonon 2) cos A 8 6. 10

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Q: Draw and find the exact value  of these expressions   csc(cos-1 square root of 3 over 2) cot(cos-1…

A: Part (a) given expression

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Q: 1- For each of the following. a) Rewrite the expression in terms of the related co-terminal angle.…

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Q: What is cos 6 if sin 0 and 0 is in quadrant III - V24 - No correct answer. V24 15 O O O

A: We have  given sinθ=-15 and θ is in quadrant III We know  cosθ=±1-sin2θ=±1-125=±245 Since, angle θ…

Q: Find the remaining trigonometric ratios of theta based on the given information. cos theta = 12/13…

A: Given: cosθ=1213

Q: Through the simplification of The expression tan(sec-1x) Which of the following triangles will be…

A: We use the Pythagoras Theorem on right angled triangle.

Q: 119 Suppose that is an angle in quadrant 4 and that cos B 2 Compute the exact value of 169 sin 2 (4)…

A: Given, cosβ= -119169 β2  is an angle in quadrant 4We have to find the exact value of  sinβ2

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Q: 1. What is the sign of the abscissa and ordinate of points in each of the quadrants of a two-…

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Q: Given \cot A=\frac{11}{60}cotA=6011​ and that angle AA is in Quadrant I, find the exact value of…

A: Find the value cosA.