Graph each equation.     r =2 cos  2u

Q: Graph and label the amplitude, period and coordinates: =3 cos(2x –A)+3

A: Given query is to sketch the graph of y=3cos2x-π+3 and label the amplitude, period and coordinates

Q: Write each expression in terms of sines and/or cosines and then simplify.

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Q: Change each equation to rectangular coordinates and then graph.       r(1 - sin u) = 1

A: Given polar equation is r1-sinθ=1 This can be written as r-rsinθ=1 In polar coordinates, we have…

Q: Write each equation with rectangular coordinates.       r(cos u + sin u) = 3

A: Given: rcosu+sinu=3 for converting given equation in rectangular coordinates, we know that…

Q: 135° to radians to dagrees 5

A: We know that 1°=π180 radians and 1 radian =180πo

Q: Analyze each equation and graph it.

A: Points that lie on the curve helps to graph the given function. Substitution of the random values…

Q: Analyze each equation and graph it.

A: The equation r=93-6cosθ is a polar curve where r is radius and θ is angle subtended by radius…

Q: For each equation, find an equivalent equation in rectangular coordinates, and graph. r = 2 / 1 -…

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Q: 2. k(x) = tan %3D - 6. 2C

A: Given K(x)=tan23x-π6 Domain for the function: x∈ℝ; 2x+π3π∉ℤ Range: set of all real numbers. Period…

Q: Write each equation with rectangular coordinates.      r =6 cos theta

A: Given polar equation is r=6cosθ. In polar coordinates we have, x=rcosθ, y=rsinθ and r2=x2+y2 Now,…

Q: Write the first expression in terms of the second if the terminal point determined by t is in the…

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Q: Find all solutions to each equation in radians. 2) 3V3 - 9tan 0

A: The given question has been solved in detail

Q: r2 = sin 20 - 3cos0

A: Guven curve is r2=sin2θ-3cosθ

Q: Graph each equation.       r = 4+2 cos theta

A: Consider the given equation: r=4+2cosθLet θ=0r=4+2cos0r=4+21r=4+2r=6Let θ=π2r=4+2cosπ2r=4+20r=4Let…

Q: Analyze each equation and graph it.

A: r=11+cosθ The given polar equation is represents the parabola.

Q: Analyze each equation and graph it.

A: The given polar equation is r=82+4cosθ. Rewrite as follows. r=82+4cosθ=821+2cosθ=41+2cosθ=221+2cosθ…

Q: On what quadrant you can see the quotient of -5+2i 2-2i O 3rd 4th 2nd O 1st

A: Complex numbers

Q: Graph each equation.       r = 3  cos theta

A: The given polar equation is r=3cosθ. Sketch the graph of the above function as shown below,

Q: Find the exact value of each real number y in radians. V3 y = arcsin(-) 2 - 3 O 7T

A: We have to find the exact value of the function: y=sin-1-32 We know that Sine function is negative…

Q: Verify that each equation is an identity  cot(2x)=(csc(^2)x -2)/2 cot x

A: To prove that the given equation holds for all the values of x (wherever well defined)

Q: Write each equation with rectangular coordinates.      r2 =  4 cos 2 theta

A: We have to write the given equation in rectangular coordinates: r2=4 cos 2θ We know the identity,…

Q: Change each equation to rectangular coordinates and then graph.     r(2 cos u + 3 sin u) = 6

A: Given r2cosu+3sinu=6

Q: Write each equation with rectangular coordinates.      r =6 sin  theta

A: Given equation in polar form is r=6sinθ. To convert given equation with rectangular coordinates.…

Q: Find each trig function value. cos 4

A: Given :

Q: Graph each equation.       r = 4+ 2 sin theta

A: Graph each equation. r = 4+ 2 sin theta

Q: For each equation, find an equivalent equation in rectangular coordinates, and graph. r = -2 cos  Θ…

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Q: Write each equation with rectangular coordinates.       r(cos u - sin u) = 2

A: Given: r(cos u-sin u)=2 To write rectangular coordinates, We have, x=rcosu , y=rsinu⇒cosu=xr,…

Q: Cos 12

A:

Q: Graph each equation.     theta = 3 pi/2

A: Given equation, θ=3π2

Q: Change each equation to rectangular coordinates and then graph.       r =  6 cos  u

A: We have to change the equation in rectangular forma and graph the given polar forms: r=6 cos u We…

Q: Identify and graph each equation. 1. r= 2 sin e 不2 3. ズ 2. r=1-sin 0

A: We need to identify and draw the graph.

Q: Graph each equation.       r = 2+2  cos theta

A: Graph the equation  r=2+2cosθ

Q: Determine whether the graph of the given equation will be a line, circle, rose curve, lemnis-cate,…

A: Given equation is: r = 5 + 3 cos theta .................. (1) We know that the equations of limacon…

Q: Write each expression in terms of sine and cosine, and then simplify so csc 2(-0) - 1 1- cos 2(-0)…

A: Csc(x) =1/sin(x) and 1-sin2x=cos2x

Q: cos 12

A: Solve the given function

Q: Convert to rectangular coordinates and graph p sin o = 2

A:

Q: Find all radian solutions if -1 Osx<27: cot 2xD

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Q: Determine whether the graph of the given equation will be a line, circle, rose curve, lemnis-cate,…

A: Given  The equation of the polar curve is r=4+4 cos θ .

Q: Write each function value in terms of the cofunction of a complementary angle. Cos (π/12)

A:

Q: Change each equation to rectangular coordinates and then graph.       r(1 - cos u) = 1

A: r1-cosθ=1⇒r-rcosθ=1⇒r=1+rcosθ⇒x2+y2=1+x         ∵x=rcosθ  &amp;  r=x2+y2⇒x2+y22=1+x2   Squaring on…

Q: Graph each equation.     r =2 sin 2u

A: r=2sin2θ

Q: Graph each equation.       r = 3 sin theta

A: r=3sinθ

Q: Write each function in terms of its cofunction A. Sin27 degree B. Csc(pi/3) C. Cot45 degree

A: Write it's cofunction

Q: (а) cos 12

A: Definition used -                                           cosθ2= 1+cosθ2sin(π-θ)= sinθsinθ2=…

Q: Use the Cofunction Theorem to fill in the blanks so that each expression becomes a truestatement.…

A: Concept used : Cofunction theorem : secant and cosecant are cofunctions and complements i.e.…