Graph one cycle of the graph of y = 2 cos[(x-459] +1. State the domain, range, amplitude, period & phase shift. Complete the table

Q: What is the value of sin 30°?

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Q: Explain the derivatives and integration.

A: Solution: Derivatives: Definition of derivatives is , the rate of change of a quantity with respect…

Q: For the angles a and ß in the figure below, find sin(a - ß). 3 2 1 (a) (b) (c) (d) -B-S 1 1 + > 23…

A: We have to find sin(α-β)=sinαcosβ-cosαsinβ Now, from first triangle: p=1,b=2, so,…

Q: Find the exact value of the function: arcsin(1)

A: arcsin1 can be written as sin-11. The value of sinθ is equal to 1 when θ=π2.

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: B. Consider the following procedure: 1. Pick any counting number. 2. Multiply the number by 8. 3.…

A: lets any number is : x multiply by 8         : 8x substract 4 from product    : 8x -4 divide by 2…

Q: The point P(-30, - 16) is on the terminal side of angle e in standard position. What is the value of…

A: Finding the value of cos(theta) and then sec(theta)

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: Solve the equation in the interval [0, 27). (b) tan 2 + 2 sin(2x) CSc x |

A: Solution is given below:

Q: for 0<x<2710. Find the equat directrix x = 1. Write the equat

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Q: Find the values of the trigonometric functions of t from the given information. sec(t) = 3,…

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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: Use appropriate double angle formulas to rewrite sin^(4)\theta in terms of the first power of the…

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Q: If sin e = , and 0 is in QI, find sec 0. %3D

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Q: 4. tan²B + 1 = sec² B

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Q: 5. Calculate the area of a regular hexagon inscribed in a circle of radius 1 unit. a. 1.316 units b.…

A: Area of equilateral triangle = 34 a2 ; where , 'a' is the sides . Note : As per our Guidelines , we…

Q: Solve the following equations: (a) 2 sin 0 tan 0 – tan 0 = 1 – 2 sin 0 (b) sec 2 = COS 2 |

A: We know, Sec(θ)= 1/cos(θ) cos(2nπ)=1 and cos((2n+1)π)= -1 for n=0,1,2,...

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

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

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Q: 2. Use the special angle triangles and the Cartesian plane to determine the six trigonometric ratios…

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Q: Suppose that π≤θ≤3π/2, tan(θ)=10/7, find sin(θ)=______. (round to 3 decimal places)

A: The given problem is solved below details.

Q: In the figure below, it can be shown that y = a+ß. Find tan y. 6 4 3 Y α

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Q: Use the exact value of cos (11π/6) and the half-angle identity for sine to show that an exact value…

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Q: How many radius (or radii) does the figure have? 13 L1 E F D

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Q: 25. Solve the equation 2 sin² = sin 20 in the interval 0≤0 < 2T.

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Q: Find an equation of the ellipse with minor axis of length 8 and vertices at (-9, 3) and (7, 3).

A: The solution is given in the next step.

Q: 7. tanh-1i

A: 7.

Q: 2. 3sin20-2√√3sine a. What is radian angle? cose + 5cos²0 = m b.If m= 2, then find the value of 0…

A: Given problem:-

Q: mpare 21 and 22 using the symbols , or = A 12 B 10 C 7 D Answer: 21__22

A: Given query is to find the relation between angle 1 and 2.

Q: 10.) What is the measurement of the hypotenuse of the given right triangle? 11.) What is the…

A: Given a right triangle ∆PQR

Q: Fill in the blanks to complete the verification. If a squared term is needed, type it as (sin x) sq.…

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Q: Arrange the three angles of the given figure from smallest to greatest. F 5 4 D Answer: 3 4 E

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Q: 14. Use appropriate double angle formulas to rewrite sin* in terms of the first power of the cosine.…

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Q: Let ABC be an equilateral triangle. Let M be the midpoint of BC and let N be the midpoint of AM.A…

A: Given that, ABC is an equilateral triangle and M is the midpoint of BC¯ and N is midpoint of  AM¯.…

Q: In point P(-6,-8,8), express that vector that extends from P to Q(8, 6, -1) in: a. spherical…

A: Point P(-6,-8,8) and Point Q(8,6,-1) given Let's find vector sperical coordinates.

Q: From the top of the control tower 250 m tall, an airplane is sighted on the ground below. If the…

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Q: Using half-angle identities, find the exact value of tan Note that 8 1– cos 0 =±. 1- cos 0 sin 0 tan…

A: Using Half - angle identities, Find the exact value of tanπ/8. tan(θ/2) = sinθ/(1 + cosθ) Let , θ =…

Q: Which of the following function(s) do(es) not have vertical asymptotes? y=sinx y=cosx y=tanx (IV)…

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Q: For each angle in standard position, find a coterminal angle 0, where 0° < 0 < 360°. After which,…

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Q: Solve the following equations: (a) 2 sin 0 tan 0 – tan 0 = 1 – 2 sin 0 (b) = COS 2 sec

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Q: Draw your own triangles given the indicated m Law of Sines. Round off all decimals to the near 1. LA…

A: Law of sine is given by:  a/sinA = b/sinB = c/sinC Please note:  we are allowed to solve only one…

Q: All changes saved 19. To the nearest degree, what is the measure of the angle in standard position…

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Q: Find the six frigonometric functions of for the following 2. triangles. 8 17 0 15 5

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Q: 5-x 8. Find the family of the curve whose slope at any point is y-3 passes through the point (2, 1)…

A: Given that slop of curve is (5-x)/(y-3) We know slope is dy/dx . Some formulas  (i). Integration of…

Q: The famous Leaning Tower of Pisa was originally 184.5 feet high. At a distance of 123 feet from the…

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Q: d) x=√3₁ It is given that sin x=- where x= [0,2], which quadrant(s) is x in?

A: We can answer both the question in the following steps.

Q: Algebra A 4. If 180° <0 < 270° and sin 0 = - find cos 20 n, find cos 20 %3D | 10 19 100 19 100

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Q: Given the rectangular coordinates (-3,2) determine (r,θ). What is θ=______. (in degrees, round to 1…

A: This question is based on conversion of rectangular coordinates to polar coordinates.

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: The height of a radio tower is 350 feet, and the ground on one side of the tower slopes upward at an…

A: We have to solve the given problem.