6. Which of the following expressions are equivalent to the expression below? 0 1 O -1 cotx + tanx 1 sinxcosx cosx+sinx cosxsinx

Q: e the suggested substitution to write the expression as a trigonometric expression. Simplify your…

A: Explanation of the answer is as follows

Q: Determine the point (x, y) on the unit circle associated with the following real numbers. Write the…

A: s=135°

Q: Find the polar coordinates of a point with Cartesian coordinates (x, y) = (0, -4). Provide your…

A: (x,y) = (0,-4)

Q: Find the magnitude and direction of the vector u = (5,5√/3). Select the correct answer below: u = 5;…

A:

Q: A boat leaves the marina and sails 14 miles east, then 12 miles southwest. In what direction must…

A:

Q: W610 15. A tree casts a 15 ft shadow at the same time that a 20 inch tall dog casts a 4 inch shadow.…

A: Given: A tree casts a 15 ft shadow at the same time a 20 inch tall dog casts a 4 inch shadow. We are…

Q: Which graph of the function y = : 2 sin 3(8 – 30°) + 1, where −180° < 8 < 180°, is best illustrated…

A:

Q: Which of the following represents vector u RS in linear form, where R (-19, 6) and S (-35, 13)? =

A:

Q: An investment of $5 000 is made into an account in which interest is compounded monthly at 5% per…

A: Initial Inverstment:  P=$5000Interest rate:  R=5%  per annum

Q: Use your knowledge of bearing, heading, and true course to sketch a diagram that will help you solve…

A: V(air) = 200 mi/hr Heading angle = 145 degree V(wind) = 40 mi/hr Wind angle = 160 degrees from north

Q: Given the point with Cartesian coordinates, (3-√√/3,-3), find the polar coordinates of the point.

A:

Q: Use the properties of limits to help decide whether the limit exists. If the limit exists, find its…

A: limx→-∞x2x-10

Q: 3. Find values for 0 ≤ 0 ≤ 2π a) cos 0 √3 | 2

A: (a)  given,  cos(θ)=32given,  0≤θ≤2π

Q: 2x² - 2y² = 3x Which of the following gives the polar form of the equation above? Select the correct…

A:

Q: Find the length of side a. Do not use a calculator. a= (Simplify your answer, including any…

A: given,  m∠A=60°⇒ given m∠B=75°⇒ c=32

Q: Convert each pair of rectangular coordinates to polar coordinates. 9. (-3,0) 8. (√3,-1)

A:

Q: Use Heron's Formula to find the area of the triangle with side lengths a = 7.7, b = 6, c = 5.9

A: Explanation::-

Q: A triangle has sides a = 3.7, b = 2.3, and included angle *C = 64° (opposite side c). Find the angle…

A: A triangle has sides a=3.7, b=2.3, and included angle ∡C=64° (opposite side c). To find ∡B (opposite…

Q: 11. Convert the equation from polar to rectangular form, and identify the type of graph (multiply…

A: The convertion of polar coordinates to rectangular coordinate is given by  x=rcosθ and y=rsinθ

Q: Solve the equation on the interval [0,2). √√3 2 cos (20) = What are the solutions to cos (20) = √√3…

A:

Q: What are the magnitude and direction of w = ❬–5, –14❭? Round your answer to the thousandths place.…

A:

Q: 15. Find the magnitude of the resultant of the following vectors given in standard position (round…

A: The given vectors are: Vector A=750  lbs  @  110°Vector B=500  lbs  @  200°Vector C=250  lbs  @…

Q: Find the average rate of change for the function over the given interval. y = x² + 1x between x = 6…

A: Given: y=x2+1x between x=6 and x=8

Q: verify the identit. write the property used from step to step tan(y)sin(y) = sin(y)-cos2(y)sin(y) /…

A:

Q: Which of the following gives the Cartesian form of the polar equation r = 5sin 0 4cos²0 Select the…

A:

Q: Use an Addition or Subtraction Formula to simplify the equation. sin(20) cos(0) – cos(20) sin(0) =…

A: Given expression, sin(2θ).cos(θ)-cos(2θ).sin(θ)=3/2 The formula of( sin(x-y)=sinx.cosy-cosx.siny)…

Q: 3. Your grandparents deposited $10,000 into an account when you born. This account has earned an…

A: ⇒fx=aerx⇒fx=Amount at time x⇒a=Initial amount⇒r=rate of interest⇒x=time in years

Q: A boat heading out to sea starts out at Point �A, at a horizontal distance of 853 feet from a…

A: in triangle ACD tanθ=opposite sideadjacent side…

Q: Prove sin(x) - tan(y) cos(x) = sin (x-y) cos (y)

A:

Q: Find the integral. S x²(3x + x-3) dx 0x4- In 1x1 + C 0x4+In/xlC x1 + In xl + C x1 - In Ixl + C 4 3x…

A:

Q: Set up and solve the following system of equations using an augmented marix: 2x−y+2z=6  −x + y + z…

A:

Q: If you use the half-angle formula for 7π cosine to find the exact value cos() 12 which sign should…

A:

Q: Vectors r, s, t, u, and v are shown on the graph. > r S t Which of the following vectors is…

A: The vector that is 34v is shorter than v as the magnitude of the vector is also short by a factor of…

Q: Which of the points below correctly plots the point. (-1,)? A O A О в C OD B Select the correct…

A:

Q: Determine the exact value of tan (11pie/12)

A:

Q: write (cos²x) (sin²x) in terms of first powers of cosine?

A:

Q: Given u = 8i – 4j, find –7u.  a –56i + 28j  b –56i – 28j  c 56i + 28j  d 56i – 28j

A:

Q: If U = 2i +3j and V = -4i + 9j, find the angle between U and V. Round to the nearest tenth of a…

A: The vectors are given as  U=2i+3j V=-4i+9j

Q: csc ²0+2 cot0=0

A: We know that the formula csc^2(theta)=1+cot^2(theta)

Q: Question 11 Find dy/dx by implicit differentiation. 2xy-y? - 1 J7-x 0 快快收 一大 X-U

A:

Q: 2. The management of a hockey arena plans to increase ticket prices to obtain more revenue. A survey…

A: We need to solve quadratic regression problem.

Q: Determine two coterminal angles in radian measure (one positive and one negative) for each angle.…

A:

Q: If a point has polar coordinates r = -5 and 0 = Select the correct answer below: 5 5√3 0 (-1, 51³) 2…

A: If a point has polar coordinates r=-5 and θ=4π3, then to determine the  Cartesian coordinates of the…

Q: 22. Two ships leave port at the same time. The first ship sails on a bearing of 26° at 15 knots and…

A:

Q: The point given below is on the terminal side of an angle 8 in standard position. Find the exact…

A:

Q: Vectors u and v are shown on the graph. u V Which of the following vectors represents u-v?

A: Vector u and v are given as follow We know that the negative of a vector is a vector with the same…

Q: the equation on the interval [0, 2π). 2 sin ²0+ sin 0-1=0 Solve C... What is the solution in the…

A: ⇒given  2sin2θ+sinθ-1=0 on [0,2π)

Q: Given that 5w= (-5, 20), what is w? Select the correct answer below: O (-1,4) O (1, -20) O (-4,1) O…

A:

Q: Find a rectangular equation for the following curve and describe the curve. Do not use a calculator.…

A: Given parametric curve x=6cos²(t) ...........(1) y=6sin²(t) ............(2) t in [0,π/2]

Q: y 6 5 4 ਜੀਐ L 3 7 - 2 T — T -1 T 2 2 2 -2 -3 -4 -5 -65 kid 128 f(x) = | Check your period (or…

A: Lets go step by step given graph has a time period of 2π so ω=2πT=2π2π=1 lets see y=sin wx =sin x…