Problem 7: (1) Give the exact value of tan-210°. (2) Give the exact value of cos -210°. (3) Give the exact value of sin-210°. No calculators.

Q: Find all solutions of the equation in the interval [, 2pi). 2COS^2x + sinx =1   Write your answer…

A: I am attaching image so that you understand each and every step.

Q: For each function, factor each and find the zeros (state the multiplicity of any repeated zeros…

A: We can solve this as follows:

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Q: The velocity v of blood at a valve in the heart of a certain animal is modeled by the equation v= -2…

A: Solution ) v = -2 cos ( 5 πl ) + 2  Max and Min value of cos ( 5 πl ) is - 1 to 1  When put cos ( 5…

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Q: 8. a) Draw a right isosceles triangle. b) Calculate the sine and cosine ratios for one of the acute…

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A: To find out the magnitude of the vector whose horizontal and vertical components magnitudes are…

Q: f(x) = 5 sin (3x180°) + 2,0° ≤ 360° 1. Graph f(x) with proper points 2. Graph |f(x) on the same set…

A: As per our guidelines we can answer only three parts.please repost others seperately First of all we…

Q: Evaluate each of the following. Leave results as an exact value. sec(7pi/6) =  csc(11pi/6) =

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Q: Find all solutions of sec(x + 4) = X= 2√3 3 (Leave your answers in exact form and enter them as a…

A: Given :   Periodicity table

Q: Question 6 sin²x + cos²x = Blank 1 Blank 1 Add your answer Question 7 tan²x = sec ²x Blank 1 - I…

A: We have to fill blnaks in the following trignometric identities.    1. Sin^2x + cos^2x=1

Q: An Application of a Sum or Difference Formula In Exercises 51-54, write the trigonometric expression…

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Q: 5. [-/3 Points] DETAILS Use the trigonometric substitution to write the algebraic equation as a…

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Q: Julio has $45 to buy video games and to pay for a Esports ticket. Each video game costs $4. The…

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Q: 19 Assume sin(0) = 12 where <0 < π, and cos(p) = - 10 where << 21 Use the appropriate sum or…

A: sin(θ + Φ) = sin(θ)cos(Φ) + cos(θ)sin(Φ) sin(θ- Φ) = sin(θ)cos(Φ) - cos(θ)sin(Φ)   cos(θ + Φ) =…

Q: What is the area of a sector when 0 = 11 radians and r = 6? 18

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Q: determine the equation of the ellipse with center (-4,-9) horzontal major axis of 12.

A: We know equation of ellipse with horizontal major axis is  x-c12a2+y-c22b2=1 where length of…

Q: What is the radius of a sector when 0 = 3 radians and the 8 area is 75 sq units? 16 r = [?]

A: Given, θ=3π8A=75π16

Q: Analyze this sequence: 11, -33, 99, -297, 891  Use function notation (e.g. “f(x)”) to write your…

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Q: f(t)=9+2.5sin(4t) find midline

A: given f(t)=9+2.5sin(4t)

Q: Which of the following is the correct graphical representation to this system of equations? y = 5 2x…

A: The system of equations is y = 52x+3                         .......1y = x+9…

Q: Jacksonville, Florida is due south of Charleston, West Virginia. Find the distance between…

A: Given 1. Jacksonville, FL:30°20' 2. Charleston, WV:38°21' 3. Radius of earth, r=3960 miles

Q: aree graphs are given below. reach, choose its equation from the following. y=2 sec 2x y=-cotx R 4 y…

A: Here, note that the first graph has asymptotes of the form x=nπ, n∈ℤ

Q: Name the quadrant that each of the following angles can be found in: 1. 653° 2. - 32T I 17 3. 487°

A: Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: What trigonometric function would be used to determine length of the opposite side of the triangle?…

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Q: Find the principle solution of sin(3-4x) = -√³. 3 2 X= If there is a distinct solution from the…

A: To find the principle solution of sin3-4x=-32.

Q: Use the formulas for lowering powers to rewrite the expression in terms of the first power of…

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

A: Recall: sin2(x)+cos2(x)=1

Q: A student performed this calculation: (5x²5x² + 4x³) - (6x² - 2x³-8x¹4). The student concluded that…

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Q: How much should you invest now at 4 1/2% simple annual interest in order to earn $180 interest in 11…

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Q: A buoy floating in the ocean is bobbing in simple harmonic motion with amplitude 6 ft and period 7…

A: Recall: Simple harmonic motion

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A: Here we have to prepare a frequency distribution table.

Q: Determine the angle between F and z-axis. 40° 54° F X

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Q: Use an appropriate Half-Angle Formula to find the exact value of the expression…

A: Topic:- trigonometry

Q: Three graphs are given below. For each, choose its equation from the following. y = sec (x + 2) y=…

A: By graphing the given functions, we can match those graphs with the given graphs. Then we can…

Q: Solve the equation on the interval 0≤0 < 2. 2 sin 20+√3 sin0 =0 Select the correct choice and fill…

A: Solve the equation

Q: Need help finding the measure of each angle A = 4x°, B = (5x + 5)°, C = (4x-20)°

A: Solution is done in step 2

Q: The angle theta is in quadrant three and Cos theta equals -2 over root five. point D lies on the…

A: We use cosθ=-Base Hypotenuse , in III quadrant  Pythagoras theorem ⇒Hypotenuse2=Perpendicular2+Base2

Q: Find sin 2x, cos2x, and tan 2x if tanx=-2 and x terminates in quadrant IV. sin 2x cos2x = 0 = 7 8 X…

A: Concept: Trigonometric ratios: sinθ=PH ; cosθ=BH ; tanθ=PB Here P is perpendicular , B is base and H…

Q: A buoy floating in the ocean is bobbing in simple harmonic motion with period 8 seconds and…

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Q: Trigonometry: Take-home portion of Exam #2 Triangle(s?) a b Number 1 20 16 2 3 4 5 6 7 8 9 10 11 12…

A: Note: According to our expert guidelines only first three subparts are to be answered kindly repost…

Q: The function y = f(x) is graphed below. What is the average rate of change of the function f(x) on…

A: Given query is to find the average rate of change for the interval provided.

Q: Find the base and the height of a triangle with area of 125 square meters is the base is 15 meters…

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Q: For which of the following intervals is the average rate of change of the function shown bellow…

A: From the given information in the graph  f(0)=0 f(3)=6 f(5)=10 f(8)=4 f(10)=4 f(12)=8

Q: 7.1 5.0 b

A: Given query is to find indicated angle.

Q: A short-wave radio antenna is supported by two guy wires, 165 ft and 205 ft long. Each wire is…

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Q: Carry your intermediate computations to at least four decimal places, and round your answers to the…

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Q: 1. The length of a rectangle is 10 cm longer than its width. Its area is 150 cm?. Find the length…

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Q: (a) Using a trig identity, write x(t) = cos(5t) — sin(5t) using only one cosine function. - x(t) =…

A: (a) x(t)=cos(5t)-sin(5t)

Q: For the following, assume that all the given angles are in simplest form, so that if A is in QIV you…

A: We need to solve trigonometry problem.