Graph each equation.     r =2 sin 2u

Q: Use the Half-angle Formulas to find the exact value of each expression. cos(- 3π/ 8)

A: Half-angle Formula: 1+cosθ=2cos2θ2.

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

A:

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.      r2 =  4 sin 2 theta

A:

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

A:

Q: Fill in the blank/s : If θ lies in quadrant IV, ______ and ______ are positive.

A: We know that, in the 4th quadrant, cos and sec are positive only.

Q: Write each function value in terms of the cofunction of a complementary angle. Sin (5π/8)

A:

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: Graph each function. . y = 2 cos(2x)+ sin x/ 2 , 0 ≤ x ≤2π

A: The function: y=2 cos2x+sinx2

Q: Evaluate each expression without using a calculator, and write your answers in radians.       arccos…

A:

Q: Simplify the expression and identify which identity is used in each line of the equation. b. csc20…

A: Simplify

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

A:

Q: Solve each equation for all solutio hundredths place. 2 cos2 2 =1 - cos 2x 5.

A: Given,

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

A: The given question has been solved in detail

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

A: Complex numbers

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

A:

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 two solutions of each equation, give your answer in radians ( 0 Cos theta = sqrt 2/2

A: Given Equation is cos∅=√(2)/2 . First to get rid of cos, we take inverse cos on both sides .

Q: convert to an equation in rectangular coordinates.  r = 2 sin θ

A: The catesian form of x and y are x=rcosθ, y=rsinθ and r=x2+y2Therefore the cartesian form of the…

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: Convert 12r=cosec(theta) into a rectangular equation.

A: Converting from Polar Coordinates to Rectangular Coordinates Given the polar coordinate (r,θ),…

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

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

Q: Evaluate each expression without using a calculator, and write your answers in radians.       cos -1…

A: The given expression is cos-1(-1). Consider cos-1(-1)=y Now take cos both sides. coscos-1(-1)=cosy…

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

A:

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: Fill in each blank with the appropriate word or expression. To graph y = sin(-Bx) for B > 0, first…

A: Odd function: is a function with a graph that is symmetric with respect to the origin (0, 0). To…

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

A: Given equation, θ=3π2

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: 51T. P(-") 4

A: The given point is: P-51π4

Q: Write csc(t) in terms of cot(t) if the terminal point of t is in quadrant II.

A: Given To write csc (t) in terms cot(t) t is in II quadrant

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

A: Graph the equation  r=2+2cosθ

Q: 27T. P(-

A:

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

A: Graph the equation r =2 cos  2u

Q: Evaluate each expression without using a calculator, and write your answers in radians.       cos…

A: Given:cos12

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

A:

Q: graph and state the domain and range y = sin 4θ + 1

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  &  r=x2+y2⇒x2+y22=1+x2   Squaring on…

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: Graph each function using radians. 1) y= sin 0

A: Solution Question 1  Given, y = sinθ  We have to graph the functions using radians