Find the distance in kilometers between the following pair of cities, assuming they lie on the same north-south line. The radius of the Earth is approximately 6400 km. City A, 47° N, and City B, 24° S The cities are approximately km apart. (Round to the nearest integer as needed.) ...

Q: Write -4+5i in polar form. Express in degrees.

A: z=−4+5iUsing polar coordinatesx=rcos⁡θy=rsin⁡θx2+y2=r2

Q: Find all degree solutions for the following. cos 2? = 0

A:

Q: Given that cos α = your answers. 3 and 0°<< 90°, determine the exact values of sin 4 α COS α and tan…

A:

Q: Find a function of the form y = A sin(kx) + C or y= A cos(kx) + C whose graph matches this one: -10…

A:

Q: apter 1, 2, and 3 3 i F4 Draw an arrow representing the correct amount of rotation. Find the measure…

A: The objective of this question is to find two angles, one positive and one negative, that are…

Q: An equation of a parabola is given. (y + 3)² = 28(x – 5)

A: An equation of a parabola is given(y+3)2=28(x−5)

Q: Convert Polar equation 4r cos(theta) + r sin(theta) = 8 to retangular

A: Given,

Q: Calculate √3+ 2i. Give your answer in a + bi form. In polar form, use the angle 0 ≤ 0 < 2π. a = =

A:

Q: Exercises 21-28: (Refer to Example 4.) Find the following. (a) sin(a + B) (c) tan (a + B) (b) cos (a…

A:

Q: Find a correct to 2 decimal places. NOTE: The triangle is NOT drawn to scale. X = Y 33° 98 38°

A:

Q: Perform the indicated operation. (6+71)² (6+71)² =

A:

Q: The right circulat cone below has a slant height of 16.2 centimeters and a base circumference of 44…

A:

Q: evaluate cos(sin-1(1/7pi))

A: The given expression is .To find: evaluate the given expression.Formula used:.

Q: Determine the coordinates of the new point after a rotation of 25° about (0, 0) from the point (1,…

A: We need to find a new point after the rotation of  for the point (1,0).The values we used Note: The…

Q: 4 Given: tana: -3 Find the exact value using the difference ID for sine. 1. == and a lies in Quad II…

A:

Q: Find the reflex angles. a) 11π/4 radians b) -135°

A: The given angles,(a)  radians.(b) .

Q: COS 37 7 A = B= COS 2T 21 2π 75 sin 21 = COS = A + sin 37sin B 2

A: Given,

Q: Q4. State the practical problem of your choice using the concept of angle of elevation or angle of…

A: The problem using the concept of elevation is -The angle of elevation of the top of a tower from a…

Q: Find the sine, cosine, and tangent of 62.4°.     Please solve step by step

A: we need to find the sine, cosine and tangent of 62.4o

Q: Decide whether the expression is or is not an identity. (sin²x + cos²x) = 1 a. Identity b. Not an…

A:

Q: Given the triangle X= 17/ > Next Question 51° answer to 4 decimal places. X 21 a find the length of…

A:

Q: To find the distance across a small lake, a surveyor has taken the measurements shown. Find the…

A: Consider the traingle

Q: 8. Use mathematical induction to prove "for every positive integer n, n³ - n is divisible by 3".

A:

Q: sinx-sin^3x=sinxcos^2 please verify these identities, please include thorough steps

A: The objective of this question is to verify the trigonometric identity sin(x) - sin^3(x) =…

Q: 22. For an angle in the third quadrant, sin t = -3/7. Find cost.

A:

Q: 11) cos sin-1 cos sir 2

A:

Q: In AABC, c=6, a=30°, and y=120°. Find the exact value of b. a) 2√3 b) √3 c) 3√3 d) 6√3

A:

Q: Q3. The angle of elevation of the top of a chimney from the top of a tower is 60° and the angle of…

A: Given angle of elevation of the top of a chimney from the top of a tower is  60 degree…

Q: Write the complex number in trigonometric form. 2-2i 2-2i=√(cos +isin)

A:

Q: The magnitude and direction of two forces acting on an object are 90 pounds, S52°E, and 80 pounds,…

A: The magnitude and direction of two forces acting on an object are 90 pounds S52E, and 80 pounds,…

Q: Sin(x)+sin(2x)+sin(3x)

A: We have to simplify the given trigonometric problem.Given -As we know that-

Q: + 凡 2 1 -2+ Y 20

A: The graph is given as,

Q: Establish the identity. 1 1- sin 0 1 1 + sin 0 -= 2 sec ²0

A: To prove

Q: Solve 2 cos² (t) - cos(t) - 1 = 0 for all solutions 0 < t < 2π. t =

A: Given that a simple trigonometric equation and we find value of t by solving this equation.

Q: 1. What are the exact equations of these lines? 60° ++++ 135°

A: since you have posted multiple questions in this question which are not interlinked so i have solved…

Q: A pedestrian walks 7.4 kilometers west and then 9.2 kilometers south. What is the direction of the…

A:

Q: Consider the following equation. sin(x) + 2sin(x) cos(x) = 0 (a) Solve for all radian solutions.…

A: The objective of the question is to solve the given trigonometric equation for all radian solutions…

Q: Find c if a = 2.19 mi, b - 3.15 mi and ZC = 41 degrees. Enter c rounded to 3 decimal places. mi; C =…

A: According to the Chegg guidelines we are supposed to do the first one of multiple questionsKindly…

Q: Verify that the csc x + 1 CSC X-1 trigonometric equation is an identity. csc X-1 CSC x + 1 2₁ = 4…

A:

Q: Determine whether the graph is that of a function. If it is, use the graph to find its domain and…

A: Yes the Graph is that of the function described.The Graph of the function y= 2 sin(x+π/4) is shown…

Q: ind the first four terms and the 100th term of the sequence whose nth term is given. an = (=1)"

A:

Q: 37. Find 2₁ 22 and 1 in standard form, if Z2 Z₁ = 4(cos 150° + i sin 150°) and Z1 Z₂ = 2(cos 30° + i…

A: z1=4(cos150° + i sin150°)z2=2(cos30° + i sin30°)

Q: Problem 2: Determine the lengths x (adjacent side) and y (opposite side) to 3 decimal places of the…

A: To determine the lengths x (adjacent side) and y (opposite side) to 3 decimalplaces of the triangles…

Q: Let à = (1, -2) and 6 = (1,5). Find the angle between the vectors, in degrees.

A:

Q: Using the vector addition simulation, what is the actual velocity of the boat? What is the actual…

A: We have to find the velocity and actual direction of the boat.

Q: sin(x + y) = sin(x) cos(y) + cos(x) sin(y)cos(x + y) = cos(x) cos(y) − sin(x) sin(y)23a. Find an…

A: The objective of the question is to find the exact value for sin(75 degrees) using the given…

Q: The ellipse 72 + y² 4² x(t) = r cos(t) with r = = 1 can be drawn with parametric equations where…

A:

Q: A vector with magnitude 5 points in a direction 340 degrees counterclockwise from the positive x…

A:

Q: Question 10 39 cm B 8° 45 cm Figure 1 42 cm (c) Find the area of triangle ABC. NOT TO SCALE C Figure…

A: Given:  To Find: (a) To find  and to show that (b) To find (c) To find the area of triangle ABC.

Q: Determine the common difference, the fifth term, the nth term, and the 100th term of the arithmetic…

A: Where  is the first term,  is the number of term and  is the common difference.