prove why it is always true that b ^ logb⁡ (x) = x.

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A: The objective is to find the magnitude of vertical and horizontal component .

Q: tan (cos¯¹(x)) =

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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 펌 4987 15 11 #37 ||| #20 170° 11 지에 3122

A: Topic:-  trigonometry

Q: find the horizontal shift of the function: y = 1 + cos(4x+pi/2)

A: Topic- horizontal shift of a function We are given, function: y = 1 + cos(4x+pi/2) we know that f(x)…

Q: What is the amplitude of the function graphed below? 0 O 0.5 01 02 -0.5 AMA -0.5

A: We have to tell the amplitude of the graph

Q: Perform the following conversions as indicated.  a) Convert 690 25’ 12” into degrees expressed as a…

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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: Solving a Trigonometric Equation In Exercises 37-48, find all solutions of the equation in the…

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Q: You have a polynomial in this form: _x³ + 4x² + cx + 4. (x-2) is a factor of this polynomial. Using…

A: The polynomial is given as , fx=x3+4x2+cx+4 find the value of c.

Q: Which is equal to cos? 2π 3 2/5455 3 O cos O sin 2T 3 O cos O sin

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Q: cos(140) cos (40°) -sin (140) sin(40)

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Q: Solve triangle ABC. (Round to a whole number.) b=60,c=30, ZA = 70°

A: Given b=60 c= 30 ∠A=70°

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

A: Given that we need to find the amplitude of the function  f(x) = 9 + 2.5 sin(4t)    Formula to find…

Q: Find all solutions of the equation in the interval [0, 2x). 2 sinx+ sin 2x=0 Write your answer in…

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Q: Divide this by using both long division and synthetic division as we have worked on in class: Both…

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Q: g(x)=8/x; x=1, x=a What is the net change between the given values of the variable? What is the…

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Q: Problem 5: The tip of the minute hand of a clock is 3 inches from the center (perceived radius of 3…

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Q: t = T 36⁰ 21 R t Y

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

Q: Simplify the expression by using a Double-Angle Formula or a Half-Angle Formula. (a) cos2(31°) −…

A: (a) cos231° − sin231°

Q: City A is located an inknown distance due south of city B. The bearing from city A to city C is…

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Q: A student performed this calculation: (5x²5x² + 4x³) - (6x² - 2x³ - 8x4). The student concluded that…

A: Let's perform calculation.

Q: Question 9 of 11, Step 1 of 1 7/11 Correct Use the suggested substitution to write the expression as…

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Q: You have a polynomial in this form: x³ + 4x² + cx + 4. (x-2) is a factor of this polynomial. Using…

A: Given Polynomial Px=x3+4x2+cx+4 and a factor of Px is x-2

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

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Q: Consider sec(-5-7x) = 23³. We wish to determine all solutions for this problem. First solve the…

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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: 47. Write sin x in terms of cos x.

A: write sinx in terms of cosx

Q: Use the diagram at the right below for Exercises 25-27. 25. Justify Mathematical Arguments (1)(G) If…

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

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Q: Consider tan (4√x - 7) = -1. We wish to determine all solutions for this problem. First solve the…

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Q: An object moves in simple harmonic motion with amplitude 11 m and period 2 minutes. At time t=0…

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Q: Enter your answers as a comma-separated list. Let k be any integer. Round terms to three decimal…

A: The given equation is;   2 cos(theta) tan(theta) − tan(theta) = 1 − 2 cos(theta)…

Q: Given 0 < 0 < 2T, solve cos 20 - cos 0 = 0. 5개 ○ 0, 풍, 풍 3 ○ 5개 3 3 2T 4T 3 3 ○ 0, 2층, 품 3

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Q: The bearing from island A to island B is 160 degrees. the bearing from island A to island C is 173…

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

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Q: Solve sin(32x) = -√3 Solve the equation for a without evaluating the (Your answer should have the…

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

A: Concept: Sine rule: sinAa=sinBb=sinCc Here A , B ,C are the angles and a , b , c are the sides of…

Q: 2/5 8 2/5 ✓

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

Q: The engines of a plane are pushing it due north at a rate of 300 mph, and the wind is pushing the…

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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: 2. In ADEF,ZE = 132°,e 132°,e = 20cm, and d = 15cm. Determine the measure of ZF to the nearest…

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Q: The Leaning Tower of Pisa was originally approximately 56 m high. If a surveyor trying calculate the…

A: This question can be solved using the sine rule of triangle.

Q: hat, for any positive numbers "a" and "b", log, (a) = log10 (b)

A: Given query is to prove the expression.

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

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Q: Prove that, for any positive numbers "a" and "b", log(a) = b.log(a)

A: Let's prove log(a^b) = b log(a).

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: Find the exact value of each of the following under the given conditions. Tan a =-7/24 Lies in…

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Q: Evaluating Trigonometric Functions In Exercises 13-26, find the exact values of the sine, cosine,…

A: Sin(13π/12) = sin(π+ π/12)                         (Sin is negative in third quadrant ) since…

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…