Remember that rectangular form is z = a + bi and that polar form is z = r(cos 0 + i sin 0) Take following number in polar form and convert it to rectangular form: 5.2 (cos 21+ i sin 21) (Round to the nearest hundredth) 2=

Q: Solve the differential equation dy xtan(y – x) = 1

A: Solution:

Q: 1. Find the exact values. No calculators allowed. a) sin(15°)

A: we  use  sinA-B=sinAcosB-cosAsinA

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A: we need to find out the value of cos(theta).

Q: ≤0 < π, find all values of that satisfy the equation 7 tan²0 = -7√3tan 0. t the correct answer…

A: Given query is urgent find the angle which setisfy the expression.

Q: For the following vector, convert from x and y coordinates to magnitude and direction x = -2, y = 1

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Q: Considering only the values of for which cos (-0)tan (-0)csc (-0) is defined, which of the following…

A: we know that sin(-θ)=-sinθcsc(θ)=1sinθthere for    ,csc(-θ)=-csc(θ)tan(-θ)=-tanθ

Q: Which of the points below correctly plots the point (-2,-²)? B A DE 3

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Q: 11. Eliminate the parameter t from the following: x = 9 sint, y = 9 cost

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Q: aut on the moon throws a baseball upward. The astronaut is 6 ft, 6 in. tall, and the initial…

A: Given query is to find the time when height is 22ft.

Q: Solve the triangle. C≈ a=1, b=3, C = 150° A≈ B (Round to two decimal places as needed.) (Round to…

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Q: The sine of a certain angle is 0.6. Calculate the cotangent of this angle. O 5/4 O 3/4 O 4/5 O 4/3

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Q: x=3t, y=t+6; -∞<t<∞ Choose the correct graph below. The rectangular equation of the curve is…

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Q: Find zw and. Leave your answer in polar form. W 19. z = cos 205° +isin 205° w = cos 85° +isin 85°…

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Q: Solve the system of equations. 4x² + y² = 25 z+y=5 ordered pa

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Q: Transform the polar equation to an equation in rectangular coordinates. Then identify and graph the…

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Q: Evaluate the six trigonometric functions for each value of 0. (Simplify your answers, including any…

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Q: fƒ(x) = x² + 2x − 1, g(x)=2x-3, evaluate (gof) (2)

A: Given query is to find indicated composite function m

Q: Using a double-angle or half-angle formula to simplify the given expressions. (a) If cos² (22°) -…

A: To find the values of A and B

Q: Use the appropriate compound-angle formula to express the following as a single trigonometric…

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Q: Rewrite as a single function of the form Asin(Bx+C). 13. 4sin(x)-6cos(x) Solve for the first two…

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Q: For all values of for which the expression is defined, COS (20) tan²0 =?

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Q: Determine whether the information results in one triangle, two triangles, or no triangle at all. a =…

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Q: Use the information given about the angle 8, sin 0 = 3 the following. (a) sin (20) (b) cos (20) (a)…

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Q: Find the exact value of the following if 0 ≤ x ≤ π/2 and 0 ≤ y ≤ π/2 sin(x − y) if cos x = 3/5 and…

A: Topic:- trigonometry ratios

Q: 1. Find the exact values. No calculators allowed. a) sin(105°) b) tan (195⁰) c) cos

A: To find the values

Q: Convert the given Cartesian equation into a polar equation. Provide your answer below: 2x = 4y²

A: for polar equation put x=rcosθy=rsinθ

Q: a) ) 35° 10 в 40° A

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: 4. Simplify the expression 1 cos²0 - 1.

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Q: find the vertex, focus, and directrix of the parabola given by each equation. Sketch the graph (x +…

A: Topic:- geometry

Q: Rewrite the expression as a sum or a difference: 10 cos(7x) sin(3x)

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Q: If sec 0=9, sin 0>0, find the exact value of each of the following for 0≤0<2. Ө (a) sin (20) (b) cos…

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Q: Determine if the sketch of the graph represents an even function, an odd function or neither. -3 -2…

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Q: Given the vector u counterclockwise ||ū|| 0 = = (1, 3), find the magnitude and angle in which the…

A: Solution: u→=1,3

Q: The total amount spent by some number of people on clothing and footwear in the years 2000-2009 can…

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Q: Evaluate 4 •2TT -2 cos o [³6 0 0 0 psin odpdedo.

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Q: 4. Find all solutions in radians. a) cos(50) = -1 IN 2

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: Rectangular-to-Polar Conversion In Exercises 33-40, plot the point given in rectangular coordinates…

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Q: Determine the equation of the sphere given its diameter has endpoints at  C (1, 4,  −2) and D (3, 1,…

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Q: n Exercises 61 to 64, find the measure in radians and degrees of the central angle of a circle…

A: Topic - Angles We are given , Length of arc=s=12.4 centimeters radius =r=5.2 cm we know that θ(in…

Q: 6. Convert to radians: 330°

A: Solve the given Change into radian

Q: OA. 32 2 sin (20) = 1

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Q: An astronaut on the moon throws a baseball upward. The astronaut is 6 ft, 6 in. tall, and the…

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Q: Apply the trigonometric identities to establish the expression 1-cos cos sin side. Show your work. =…

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Q: Solve the triangle. AN a=14, b=15, c=19 O (Round to one decimal place as needed.)

A: by using cos law cos(A)=b2+c2-a22bccos(C)=a2+b2-c22ab A+B+C=180

Q: tan α = 1 4 x in quadrant II

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Q: b) 125 15 150° B 100 B 30 110% X. A

A: Solve the following

Q: Which of the points below correctly plots the point (-3,)?

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Q: Evaluate : [secx cosec¹3 x dx

A: To evaluate the given integral

Q: 5. Simplify the expression (a) -1 (b) 1 (c) sin²x (d) - cos² (e) None of these cos²x+ sin x sec² x…

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Q: the vertex, focus, and directrix of the parabola given by each equation. Sketch the graph (y - 1)2…

A: Given: (y - 1)2 = 2x + 8