5 Determine the eccentricity for r = 2+ 1sin e

Q: Find the area inside the circle r=−3acosθ and outside the cardioid r=a(1−cosθ), a>0

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Q: B)Prove (cose + i sine)" = cosne + i sin ne

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Q: length of the curve r = 4 sin 20 for ÷sos 6 2

A: To find the length of the curve r=4 sin 2θ for π6≤θ≤π2.

Q: Solve for theta. 3V2 = -6cos 0 %3D

A: Given

Q: Find the two square roots of z = 36(cos 50° + i sin 50°). Leave your answers in trigonometric form.…

A: Consider the given complex number z = 36(cos 50° + i sin 50°).

Q: Find 'an equation in X, y r Cos ☺ 25 r Sin@= - 2

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Q: If you are to integrate a certain equation by Trigonometric Substitution, what must you substitute…

A: We are given an equation: -162 + y2  We need to find the trigonometric substitute  for "y" for…

Q: The curves 71(t) = ( – 5t, tº, t“) and 72(t) (sin(5t), sin(2t), t) intersect at the origin. Find the…

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Q: Convert r = 6(sin(0) + cos(0)) to an equation in rectangular coordinates in terms of x and y.

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Q: and 0 <t < 7, find sin t, cos t, csc t, sect, and cot t. To enter the square root of a number, type…

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Q: Find a rectangular form of the equation. 3. 1 + cos 0

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Q: Find the cosine of ZK. K 6/23 J 12/23 6/69 Write your answer in simplified, rationalized form, Do…

A: Given: For the angle K Perpendicular = 669 Base = 623 Hypotenuse = 1223

Q: Find carlesian equation of the following. the 3-Sine 2. r °cas (20)= 4 r CO

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Q: theerem 3 2tt sine = S. I = do; a>l. anse 2T (a- Ja?) %3D a+ CEsO

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Q: Find all complex values z satisfying the equation 1) sin z=i

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: Calculate v 9 – 7i. Give your answer in a + bi form. Give the solution with smallest positive angle.…

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Q: Find the tangent of ZI. 2/13 K 2/10 Write your answer in simplified, rationalized form. Do not…

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Q: lse the method of undetermned coofficients to solve the differenticl eqination: y°+9y=@osCat)…

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Q: 1. In triangle ABC, AB = y, BC = r, AC = 8, and the perimeter is 20. a) Write y in terms of x. b)…

A: It is given that

Q: 4. Find all 0 in [0°, 360°) that solves the following equation. You must provide a sketch that…

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Q: Find zı*z2 and zı/z2. Write your answers in rectangular form (a + ib). 3, = 2(c0s + i in + i sin 8 +…

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Q: 8. Find all angles in degrees that satisfy each equation. a. cos 3x b. sin 2x = 0 C. sin a = 2

A: To find all angles in degrees that satisfy each equation. a). Equation is cos3x=1. We know that if…

Q: 7 7, determine the angle 0. The relationship between the cone's vertex angle, 0, and the Mach…

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Q: 13 5 12 B. Determine the cosine of ZB. 12 A) 13 12 B) 5. C) 12 D 13 3) Which is egual to sin 362

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Q: E. Find the cartesian equation of the following: 2. r2 cos(20) = 4 %3D

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Q: 1. Find the quadrant in which e lies: (a) csc 0 0 (b) sec 0> 0 and sin 6 <0

A: a). Cosecϴ &lt;0 and tanϴ&gt;0 In first quadrant all trigonometry function are positive  Only third…

Q: 4. Determine the sine and cosine equations in degrees for the graph below. (0, 1) (360, 1) 30 90 120…

A: We have to find the equation of sine and cosine.

Q: 3 sin 30 cos 0 d0 3

A: Given:         ∫0π3sin3θ cosθ dθ    Use the following identity…

Q: Trace the curve: r = 1/2 sinꝋcos^3ꝋ.

A: The equation of the curve is r=12sin θcos3θ. First check the the symmetry of the curve. The curve is…

Q: r = 2 sine + 2 cos e

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Q: 1) Find the intersection points of the curves R = cos 30 and R = sin 30

A: Solution of question as follows

Q: Q1/ Find the area inside the circle r = - 2 cos 8 and outside the circle r= 1.

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Q: 1- ei20 tan(0) = i 1-e-i26 %3D - 1+ ei20 1+e-i26

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Q: y² ) sin(a Lsin(m)

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Q: 1. Find all the angles between 0° and 360° with A. a sine of - B. a cosine of V2 C. a tangent of V3

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Q: Trace the curve r = 1 - 5 cos 0

A: Given  r=1-5 cos θ

Q: 1. Use a Trigonometric substitution to evaluate the following: Vy² – 25 -dy,y > 5 y Include a sketch…

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Q: Find the exact length of the helix7(t) = 1t 5 cos 1t 5 sin 12t ) for – 6 <t< 5.

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Q: 4) Find the amplitude, period, frequency, and sketch one cycle of the displacement of an object…

A: Explained below

Q: 一1 1-2 Terminal P Pis on the unit c determined by t. V3

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Q: 4. 16 30 What is the Cosine R? What is the Cosine S?

A: Assume the followings. ST=a=16RT=b=30SR=c=unknown∠S=x∠R=y

Q: Consider the following.x = 5 cos(θ)y = 6 sin(θ)-π/2 θ π/2(a) Eliminate the parameter to find a…

A: x = 5 cos(θ)So, cos(θ)= x/5 y = 6 sin(θ)sin(θ)=y/6

Q: 8 C 17 15 A Find sin(8) in the triangle.

A: We have to find sin beta of the given triangle.

Q: Find the cosine of ZS. 57 V14 J43 R Write your answer in simplified, rationalized form. Do not…

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Q: A baseball leaves the hand of a player at first base at an angle of 0 with the horizontal and at an…

A: According to question, r = 132 v02 sin 2θ

Q: 5. Find the area between the inner and outer ovals of r = 4(1+sin0).

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Q: Trace the curve r =1/2(sinꝋcos3ꝋ)

A: Given,            r =12sin(θ)cos3(θ)

Q: B) Find the intersection points of r2 = sin 0, 0 = %3D 3

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Q: Find the O A. y В.

A: We have to find the equation of the set of points which are equidistant from (3, 10) and the x-axis.…