Find the quotient, and write it in rectangular form. √√3+ i ... 3 = √√3+ i (Simplify your answer, including any radicals. Use integers or fractions for any numbers in the expression. Type your answer in the form a + bi.)

Q: What are all of the solutions for the equation 3cos(38)-8=-11 on the interval of [0°, 360°)? Give an…

A: We can find the answer as below.

Q: Find the exact values of the remaining trigonometric functions of 0 satisfying the given conditions.…

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Q: Graph the function and identify the key points on one full period. 1 y= sin x 3 To draw the graph,…

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Q: Î 6357km 190⁰ 6357km (b) What is the length of side c in km, using scientific hotation to 3 s.f.?

A: Given  side a = 6357 km  side b = 6357 km  side c = ?

Q: 2. If the length of the hypotenuse of a 45°-45°-90° right triangle is 6 cm, find the measure of its…

A: As per our guidelines we are supposed to answer only one question.Kindly repost other question as…

Q: Let f(x)=x² and g(x)=x-1. Find (fog)(-5). (fog)(-5) = (Simplify your answer.)

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Q: The real number / corresponds to the point P fraction, if necessary. O: 2 0/6 X 2 x + y = 1 Part 1…

A: The given point on the circle is  (-5/6, -√11/6)

Q: 3 tan2  theta - tan theta  - 4 = 0

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Q: A point is given on the terminal side of an angle drawn in standard position. Find the values of the…

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Q: III. Find all cube roots of each complex number. 5. 8 cis 60°

A: We have to find cube roots of complex number 8 cis 60°.

Q: standard

A: please refer to the image below

Q: A 70 (x) -(5n4x) 140° (sin

A: The given data is: [12x-18sin4x]40∘70∘  To find the value of the given data.

Q: 8. What is cos(0.32)? a. 71.34° b. 18.66° c. 0.99° d. 0.01°

A: Given, cos-1(0.32)

Q: A 530 c=10 C 78° B

A: Sine Laws :     asin A=bsinB =csin C

Q: Use a calculator to find the value of the following expression rounded to two decimal places. - 1…

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Q: 48. Solve the equation for solutions in the interval [0, 2t). X cot sin x 2 0 O A. 0, 2 B. ㅠ 37 4 4…

A: We will find the solution of the trigonometric equation for the given interval in the following…

Q: 11. If 180° 0 ≤ 270° and cos 0 sin(20). == 12, find 15

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Q: 16.6 30° 17.5 42.5°

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Q: egrees, give the reference angle in degrees. If it is given in + Ⓒ2022 McGraw Hill LLC. All Rights V…

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Q: Complete the following simplification. [3 (cos 315° + i sin 315°)] [2 (cos 45° + i sin 45°)] = (cos…

A: Solve [3(cos 315°+ i sin 315°) ] [2 (cos 45° + i sin 45°)]

Q: 4. In a 45°-45°-90°triangle, the ratio of the two legs is equal to b. 0 c. -1 a. 1 √3 5. What is cot…

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Q: 12 B 25 AB- AC- ZB- 7. When a hockey player is 35 feet from the goal line, he shoots the puck…

A: I am answering 5, 6, and 7 as you have mentioned.

Q: X D 18° 76.5 ct 30 B

A: Use sine law

Q: Mason earned a score of 226 on Exam A that had a mean of 250 and a standard deviation of 40. He is…

A: This question can be solved by equating the z score of Mason marks in both exam A and exam B because…

Q: In a triangular-shaped lot ABC, the two sides and the included angle are CA=90.95 m, BC=73.80 m, and…

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Q: The equation P = 20 sin (2πt) + 110 models the blood pressure, P, where t represents time seconds.…

A: The equation P=20sin2πt+110 models the blood pressure, t represents time in seconds.

Q: All changes saved 3. Two students were playing the same game. The difference in points that each…

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Q: Consider a population that grows according to the recursive rule Pn= P₁−1+120, with initial…

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Q: If angle x is in standard position such that tan=-8/6 & Sece > 0 determine the exact value of Csce

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Q: Directions: Solve the following problems using the four steps method. 1. During a figure skating…

A: In this question, we need to solve the given problems.

Q: Determine the magnitude of the vector difference V' = V₂ - V₁ and the angle Ox which V' makes with…

A: We need to find the given vectors and the calculate V'.

Q: 3. A balloon is sighted from two points on level ground. From point A, the angle of elevation is 16º…

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Q: The minute hand of a clock is 6 inches long and moves from 12 to 3 o'clock. How far does the tip of…

A: topic- length of arc

Q: o perform a geometric construction of drawing a segment congruent to a given segment, just measure…

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Q: O Calculate the mean value of y= 24 sin5 0 cos 0 from 0 = 0 to 0= JI\6

A: Given y=24 sin5θ cosθ from θ=0 to θ=π6To Find: Mean Value of Function

Q: Given the exponential growth function Pr = 77(1.0315)” What is the initial value, Po, of the…

A: Exponential Growth :               Pn = P0(1+r)n ; where , 'r' is growth rate and P0 is initial…

Q: 11. ** A boy is flying two kites at the same time. He has 380 ft of line out to one kite and 420 ft…

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Q: Find the amplitude, period, and phase shift of the function. Graph the function. Be sure to label…

A: Given

Q: Use the given function values and the trigonometric identities to find the exact value of each…

A: Here we use the following formulas of trigonometry1.  2sin2x=1-cos2x2. 2cos2x=1+cos2x3.…

Q: 10. What is the modulus of z if z = 120_ 19 +1? (a) √2 (b) √3 (c) √4 (d) √5

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Q: 2. Find m2C 28 18 15 12 +8

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Q: 18. Which of the following is a Pythagorean relation? a. cos²0-sin²01 b. 1+ sec20 tan²0 19. From one…

A: We know that any trigonometric statement is comes from Pythagorean theorem. Here cos2θ-sin2θ=1 is…

Q: Find the exact value of sin(x - y) if sin x = 3 ≤ y ≤ 2. on ≤x≤ and sin y=-3 on

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Q: x where 3π/2 ≤ x ≤ 2π. 1 + sec²x = 2 + cos²x + sin²x

A: Here we use formula of trigonometric equation.

Q: Kiato is on top of a 200 ft. lighthouse. The angle of depression to a ship on the ocean is 20°. How…

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Q: 3. The vertices of a triangle are A(1, -2), B(4, 4) and C(-3, 0). (a) Find the distance between A…

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Q: 5 । 7 — (5+ 3x)— Smax) (1) ਅਕਾਲ trở 1509

A: Given

Q: 10. A plane travels 79 mi at a bearing of 37° 19'. How far north did the plane travel during that…

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Q: The measure of the angle of elevation of a kite is 35. The string of the kite is 340 meters long. If…

A: Here we have to use the concept of trigonometric ratio. According to our guidelines we are supposed…

Q: Find the exact value of that trigonometric function. sin(pi/4) = _____

A: Consider the function  sinπ4