DE MOIVRE'S THEOREM Copy the problems and show your full solutions on your answer sheet. Evaluate the following: 5. (6 + 15i )

Q: In right triangle ABC, sin B 2x-0.72 and cos C 3x- 0.98. Solve for r. %3D %3D

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Q: Find the angle x in the interval [0  , 360 ) degrees satisfying each of the following information: ...

A: To find angle x in the interval [0°,360°).

Q: 2- find if z = x + 2メッ ze %3D U COSU = u sinv

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Q: 132. Let f(0) = tan (0). What is the input quantity for f (the arctangent function)? The output quan...

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Q: Solve the equation on the interval [0,2r). (2 cos x+ cos x+ /3) (2 sin x- 1) = 0

A: Solving the problem by finding the value of x.

Q: 1- cos 4x 9. sec² 2x –1 : 1+ cos 4x

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Q: A 112 ft tower is located on the side of a mountain that is inclined 18 to the horizontal. A guy wir...

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Q: .z? + (3 – 2i)z + (2 + i) = 0

A: Solve quadratic relation. 

Q: Verify the identity by following the steps below. sin(x)cot(x) cos(x) 1) Write the left-hand side in...

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Q: Write sum or difference of trigonometric function. 2 cos 8x cos 2x A.) cosbx-cos10X (cos10x+ cosbx) ...

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Q: Determine the length of side g in centimeters to 4 significant digits. 21.150 28.000 cm

A: angle = 21.15 one side 28 cm here we apply sine rule sin(21.15) = g/side g = (28)sin21.15 g = 28*0.3...

Q: Write the following complex number in the form a +bi. 18( cos 270° + i sin 270°) 18( cos 270° + i si...

A: Given query is to write the equation in the form of a+ib.

Q: 2 sin2 4x − 2 cos 4x = 1 if 0° ≤ x < 360° Please show all steps in clear handwriting or typed. Than...

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Q: Find the following product, and write the result in rectangular form using exact values (6 cis 45°)(...

A: Question- Find the following product, and write the result in rectangular form using exact values.  ...

Q: tane – 1 1- cot0 tanº + 1 1+ cote

A: Given query is to prove the identity.

Q: Points A and B are separated by a lake. To find the distance between them, a surveyor locates a poin...

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Q: Write the sum as a product. sin 9x + sin 7x

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Q: QUESTION 3 Find an equation for the graph. O y = 5 sin (3TTX) 77 y=5 sin지 y = 3 sin х Oy = 3 sin (5T...

A: Let's find. 

Q: 1- cos 4x 9. sec2 2x – 1 = 1+ cos 4x

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Q: 7. 2 cot 4x = cot 2x – tan 2x

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Q: A vessel in the shape of a cone has a height of 48 cm and a base diameter of 16 cm. It holds water t...

A: Given,  Height of cone= 48 cm Base diameter = 16 cm Radius of cone = 8 cm  Depth of water = 18 cm Di...

Q: 7) V2cot 0-3sec 0 = cot Osec 0-3sec 0

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Q: 5. Hilda owns several hens on her family's farm. She decides to record the total number of eggs prod...

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Q: Two identical spheres are placed so that one is on top of the other inside a right circular cylinder...

A: This question is related to cylinders and spheres, we will solve it using given information. 

Q: Find the indicated power using De Moivre's Theorem. (Express your fully simplified answer in the for...

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Q: 2. Given: C = 103°,c = 12, & B = 16° solve AABC

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Q: 6) tan Osin 0 – 4tan 0 =-3tan 0

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Q: 9. Use the triangle on the right to find the given trigonometric ratios. (Express your answers in th...

A: Note : As per our guidelines we are supposed to answer only first 3 subparts if there are multiple s...

Q: 52 20 Answer.

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Q: Find the product. 2 i (5 - i)? 2 i (5 - i) (Type your answer in the form a +bi.)

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Q: Find the exact value of the expressions cos(a + B), sin(a + B) and tan(a + B) under the following co...

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Q: 9 16

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question fo...

Q: If y = -then is equal to 1+ cor 4+ sin 4 L sin 14 sin A

A: answer of given question is in step 2

Q: Find the product. (-4-5 i)(-4+5 i)

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Q: appropriate. If there is no solution, enter NO SOLUTION.) 2 sin? 0 – cos 0 = 1

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Q: Given the ff. Points: P(1, -1, 4), Q(3, 5, 6) and R(-1, 5, 4) make up a triangle. Find the angle whi...

A: we have to find PQ and QR PQ =(1-3,-1-5,4-6) PQ = (-2,-6,-2) QR =(-1-3,5-5,4-6) QR = (-4,0,-2) so no...

Q: balloon rises at the rate of 8 feet per second from a point on the ground 110 feet from an observer....

A: Given query is to find the rate of change of angle.

Q: Find XY. W 240 Y Write your answer as an XY =

A: Topic  = Triangles XY = 2

Q: 2 Write & solve an equation to find the value of x, then find the exact degree measure of the exteri...

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Q: Two meteorologists are 30 miles apart located on an east-west road. The meteorologist at point A sig...

A: We have to find the distance from each meteorologist to the tornado also, find the distance between ...

Q: dx r2 A 2 sin-'Vx + C sin-'Vx + C B -2 sin-1Vx + C 1 sin-1Vx + C 2. D - - IN

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Q: 3. Given: c = 25, b = 21, & B = 38° solve AABC 4. Given: C = 115°, b = 6, &c = 7 solve AABC

A: 3 c =25, b =21 ,B = 38 here we use sine rule sinA/a = sinB/b = sinC/c sinC/c = sinB/b sinC = csinB/b...

Q: Let cot (0) = 6 where 0 is in Quadrant III. Find the other trigonometric functions of 0.

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Q: Direction: Verify the following identities: 1. sec2x csc ²x = sec?x + csc?x 2. sec4x - sec2x = tan4 ...

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Q: Use domain change and substitution to solve each trigonometric equation over [0, 2t). Show all work....

A: To solve the trigonometric equation.

Q: To estimate the height of a building, two students find the angle of elevation from a point (at grou...

A: Given query is to find the height of the building.

Q: The bearing from City A to City B is N 34° E. The bearing from City B to City C is S 56° E. An autom...

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Q: Using the diagram, determine the measure of 21 when the length of side y 2.30 in and the length of s...

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Q: Solve the following Question. 5 -1 -1 2 3 and B =-4 %3D 0 5 2 3. Given A and B, 1. Find BA 2. Find A...

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Q: The following equation involves a trigonometric equation in quadratic form. Solve the equation on th...

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