An Application of a Sum or Difference Formula In Exercises 51-54, write the trigonometric expression as an algebraic expression. 53. sin(arctan 2x - arccos x)

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: plest form, of the function over the interval 6 ≤ x ≤ 30. 8 0 6 12 18 24 30 f(x) 7 16 25 34 43 52

A: Given query is to find average rate of change

Q: expression when sin u = and cos v = -. (Both u and y are in Quadrant II.) 43. sin(u + v)

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

A: To find the  quadrant add or subtract 2π or 360°.

Q: How many square feet are there in 4 1/2 acres

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Q: A boat leaves the harbor entrance and travels 24 miles in the direction N 47° E. The captain then…

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Q: Write the first trig function in terms of second for in the given quadrant. 1. cot , sin 0; in…

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Q: For each value of t below, determine the quadrant in which the terminal point is found and find the…

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Q: I. Find the derivative of the following inverse trigonometric functions. 4. y = (x − 1)V2x − x2 +…

A: y=x-12x-x2+arcsinx-1

Q: 7.1 5.0 b

A: Given query is to find indicated angle.

Q: 5. y = 2arcsin X √ 2

A: We need to find out the derivative of the function.

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

Q: Write the trigonomic function. The function may be written as f(x)= a sin _2pi/P(x-b)) +c or f(x)= a…

A: Given query is to find the equation of the graph.

Q: Solve triangle ABC. (If an answer does not exist, enter DNE. Round your answers to one decimal…

A: Given data: Side "a" of triangle ABC= 23 Side "b" of triangle ABC= 42 Side "c" of triangle ABC= 29…

Q: Find all solutions of the equation: sin(x) = 0.4 x = 1.459 + kл, where k is any integer X = = 0.412…

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Q: Given the function f(x) = -x² + x + 8, determine the average rate of change 0 the function over the…

A: Solve the given for average rate of change

Q: A boat leaves the harbor entrance and travels 24 miles in the direction N 47° E. The captain then…

A: This question can be solved using the concept of pythagorus theorem and trigonometric identities.

Q: A) Determine the missing value. Rounded to the nearest tenth. (First image) B) Determine the exact…

A: a) find the arc length =? here radius = 2cm  angle 270 given  this is arc 3/4 of total  so total arc…

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

A: Please see the below picture for detailed solution.

Q: sin 5x Show that = sin 5 is not an identity by finding a replacement or replacements for which the…

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Q: 3. A truck with 36-in.-diameter wheels is traveling at 45 mi/h. (a) Find the angular speed of the…

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Q: Verifying a Trigonometric Identity In Exercises 41-48, verify the identity algebraically. Use the…

A: See this solution in below.

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: Problem 1. Draw a graph of the unit circle, then find the terminal points of the following radian…

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Q: A function is graphed below. On which interval of x is the average rate of change of the function…

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Q: Find the terminal point P(x, y) on the unit circle determined by the given value of t. t =…

A: To find P(x,y)

Q: In triangle ABC, sin (A+B) = 3/5. What is the value of sin C? A. 2/5 B. 2/3 C. 3/5 D. ½

A: In triangle ABC, sin (A+B) = 3/5. What is the value of sin C? A. 2/5 B. 2/3 C. 3/5 D. ½

Q: Convert each degree in decimal or radians to Degrees, Minutes and Seconds: 1. 80.2525 2. 43.1375 3.…

A: Note:- As per our company guidelines we are supposed to answer only first three sub-parts. Kindly…

Q: y=(x) show! the right, lind the absolute A. The absolute maximum of y=f(x) is f(1) = 6. (Type…

A: Topic-absolute maximum ,absolute minimum, Local maximum and local minimum of a function. Absolute…

Q: Simplify the expression by using a Double-Angle Formula or a Half-Angle Formula. (a)    2 sin(19°)…

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Q: Write an equation of the form y = A sin (x-C) + D, where C is between - and л, whose graph is the…

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Q: -4.4.4.4 Use the given function value and the trigonometric identities to find the exact value of…

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Q: Simplify the trigonometric expression. 6+6cos(y) divided by 6+6sec(y)

A: See the details solution in below

Q: Use the Law of Sines to solve for all possible triangles that satisfy the given conditions. (If an…

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Q: Give the formula for the function which would have graph shown below. -13 -12 -11 -10 -9 -8 -7 -6 -5…

A: This is a problem related to graphing function. Please follow the procedure given below.

Q: Analyze this sequence: 6, -16, -48, -90, -142  Please give the Explict Function   please create a…

A: Let's find explicit function.

Q: 9. Identify the amplitude, period, phase shift and then use this information to sketch one complete…

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Q: The radius of a circle is 13 miles and its area is 280.21 square miles. Find its central angle to…

A: Given query is to find the central angle.

Q: 49. tan x + 2 tan² x + 1

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Q: nd the exact value of tan 15° by using a sum or difference formula. 2-√√√3 X 0/0 S

A: Given query is to find the exact value of tan15°.

Q: Given a unit circle, what is the value for y? (²1/₁y) O (1,0) y = √[?]

A: The given figure is of circle whose center is:  (h, k) = (0, 0) and passing through the point (1, 0)

Q: Suppose sin (x) = cos (x) = and x is in the interval [, π]. Find cos (x) and tan (x). (Your answers…

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Q: Find the values of the trigonometric functions of t from the given information. csc(t) = 8,  cos(t)…

A: Given query is to find the values of the trigonometric functions.

Q: Given the function defined in the table below, find the average rate of change, in simplest form, of…

A: We can find the required answer in the below steps.

Q: Solve the following problems involving inverse trigonometric functions  The lower edge of a picture…

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Q: For sin a = -3,RL 4 compute sin (a + B). LaL 3 H 2 л and cos B = 3 4BL 27, 7 2 Done

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Q: # 10 K2 171" 警 4987 #25 #80° #37 145 # #1 20 罪 11 #170° F 15 BEM #11' 台 #53

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Q: Find sin 2x, cos 2x, and tan 2x if sinx= sin 2x = 0 cos2x = tan 2x = 0 2 √13 and x terminates in…

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Q: Write the equation of a sine or cosine function to describe the graph NA 2 2 0

A: Maximum value of the curve is 1 and minimum is -1.

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…