How many values of θ in radians between −2π and 2π satisfy sin(θ) = 1/2?

Q: A search light with a range of 350 meters can turn through an angle of 120°. Find the area it can…

A: As per our guidelines we can answer only 1 question so kindly repost the remaining questions…

Q: The Law of Sines states that the following ratio is true for all triangles. Fill in the blanks to…

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Q: A rectangle is placed around a semicircle as shown below. The width of the rectangle is 8 cm. Find…

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Q: Given C 130°, B= 29°, and c = 15, use the Law of Sines to solve the triangle for the value of a.…

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Q: 10) y=2+ sin (0+30) 90° 180° 270° 360° 12) y = sin (0+45) +2 90° -2 450° 180° 270° 360° 450° 540…

A: Given function y=2+sin(θ+30)

Q: Find the component form of v if = 2 and the angle it makes with the x-axis is 60°.

A: Component of a vector v is given by vx=vcosθ      and vy=vsinθ ,  where θ is the angle made with the…

Q: 8. Find the first six terms of the recursively defined sequence: a₁ : 0, an = (an-1)² +3

A: topic- sequence and series

Q: ABCD is a rectangle CD= 6. Find, to the nearest degree, the measure of angle E. B 11 C 11 A…

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: 22. If cose (a) osẻ = — and ✔ is in quadrant IV, then cos (b) (c) ²/ 213 L23 √ (d) (e) ± 27/1

A: This question is related to trigonometric ratios and identities,  we will solve it using given…

Q: of Let f (x,y)=tanh-1(x-y) with x=e" and y= usinh (t). Then the value of evaluated at the point dt…

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Q: 1. Solve for the measure of angle A in the figure below. 33 25 C 11 B 2. Solve the triangle if b =…

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Q: You need to create a password that consists of 3 letters followed by 2 numbers. No num- bers can be…

A: I am going to solve the given problem by using some simple calculus to get the required result of…

Q: Set up a proportion to solve this problem

A: solution: Diameter of ferris wheel =60 ftTime taken in 1 revolution =90 sec…

Q: 2 + 4 + 6+ . . . + 2n = n(n + 1)

A: On solving this we will get

Q: A cable man is looking down from the top of a telephone pole at an angle of 14°. The pole is 30 feet…

A: where , x= horizontal distance from the bottom of the pole

Q: The angle of elevation from a boat to the top of a 92-meter hill is 12. How far is the boat from the…

A: The angle of elevation from a boat.

Q: Prove the following useful trigonometric identities: (a) cos(a + 3) = cos(a) cos(3) - sin(a) sin(3)…

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Q: (14) Prove the following identity cos(x + y) + cos(x - y) = 2 cos(x) cos(y). Make sure you show all…

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Q: A. Solve for the missing acute angle or sides of the given right triangle. 3. A. x-16√3 24 B. x 20…

A: We will find the value of x and y in the following step.

Q: Determine whether u and v are orthogonal, parallel, or neither. Explain your reasoning. u = (4,7), v…

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Q: Find sin 8, where 8 is the angle shown. Give an exact value, not a decimal approximation. e 5 sin =…

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Q: Find the solution(s) for theta. 6√3-9 sin 8

A: To solve the given trigonometric equation

Q: B₁ 5 90° A 12 In right triangle ABC, C= 90°, a = 13, b = 12, and c=5. Use angle B as your basis of…

A: Here, form the given data, for the given right angle triangle ACB,  sin B=OppHyp=ACAB=1213cos…

Q: 9. Find other polar coordinates (r,) of the point in polar form given by (3,) for which r <0 and -2π…

A: answer is in next step . please give a like!!

Q: Write the equation of the circle in general form that will satisfy the given conditions. Draw its…

A: Here is the solution:

Q: Find the 3rd term in the expansion of (a + b)6 in simplest form.

A: Given (a+b)6 We need to expand and find the third termgeneral expansion of (a+b)n (a+b)n=∑k=0n nk…

Q: Find m44 C 20 km 89 B A) 24° C) 28° 40 km B) 279 D) 30°

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Q: 10. Given the triangle below, find the value of side b to the nearest tenth. 13 b C 20 8.0 units 4.2…

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Q: 1. Determine an exact value for the following expression: л sin COS sec+tan 444 4

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Q: 4. The angle of depression from the top of the castle to the boat is 25°. If the boat is 350 meter…

A: Since the student has posted multiple questions and does not mention any specific question, so we…

Q: Find mLA 19 yd A) 12° C) 13.20 98 4 yd C B) 9° D) 11°

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Q: How may inscribes angles can we generate from the figure? D с P 58° 4 2 8 10 12 75° 77° B

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Q: ● From a point A the angle of elevation of a post is 460 10' while from a point D, 50 meters from A…

A: Note- As per our guidelines we have to answer only first question if multiple questions are…

Q: 23. What is the period and phase shift of the sine function shown in the graph below? (-4,1) (0,1)…

A: see below the answer and explanation

Q: 42. 137 3 and 60° are coterminal.

A: Answer  Find angle that is positive ,less than 2π and coterminal with 13π/3  Subtract 2π from 13π/3…

Q: = tan (^-^) = - tan (7)

A: Note:sinθ  is positive only when θ lies in 1st and 2nd quadrant.cosθ is positive only when θ lies in…

Q: 26. If ƒ(0) = lenght of opposite side lenght of adjacent side' 27. sec 45° = 45° 28. tan 45º = 45°…

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Q: The picture shows angles A and B. Explain why sin(B) = -sin(A) and why cos(B) = -cos(A).

A: To solve this question, we will find the relation between the angle A and angle B.

Q: Suppose that sin(θ)=1/7. What csc(θ)=______.

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Q: Solve the triangle given the following information: a. a = 34°, B = 71°, a = 24 b. b = 3.4, c = 2.8,…

A: We have to find the remaining sides and angles of the triangle.

Q: 48. To graph two full periods of y=-4.2 sin 3x- 97 X min = 72 and X…. = 22 - 12 -4). , an…

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Q: rose garden is formed by joining a rectangle and a semicircle, as shown below. The rectangle is 24…

A: Given query is to find the fencing required.

Q: 2. 1² + 2² + 3² + . . . + n² = n(n+1)(2n+1) 6

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Q: 2₁ = 3 cis you and the of 2₁ = 1 + i √3 and in standard form, and trigonometric 2, and 2₂ in find…

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Q: The right triangle shown below has an area of 25. Find its hypotenuse if a = 2,8 b = 2,3 and c = x,y

A: Given right triangle  By Pythagoras theorem Hypotenuse ²=base²+perpendicular ² c²=a²+b² C²=2.8²+2.3²…

Q: 1. Find the indicted term: an = (3n+ 2)²; a6

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Q: 7. Find m L.A. Round off your answer to the nearest tenth. b.) 13 A 27 B 17 B 95 43 27

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Q: Determine the specific solution to the following Trigonometric Equation, where 0sx s 2n:…

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Q: Bacteria in a certain culture increases at an exponential rate. If the number of bacteria triples in…

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Q: Cewrite the sum using sigma notation: 9-16 + 25-36 +49-64 +81

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