What is the vertex of the following function? f(x) = x² + 4x +3 (-1,4) (-2,-1) (4,3) (-4, 3)

Q: If tan 0 = 6/3 and cos 0 > 0, then without finding the angle, find the exact answers to the…

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Q: Use the figure to answer the questions below 0 6 in α (a) Express 8 as a function of a. 6 -1 (19+…

A: Topic- Trigonometric ratios We know that tan(θ)=opposite adjacentcot(θ)=1tan(θ)

Q: A cable is connected to two trees that are 12 meters apart. One end of the cable attached to the…

A: Pythagorus theorem states that (Base)2+(Height)2=(Hypotenus)2  for a right angle triangle.

Q: If csc x = 4, 90° < x < 180°, then sin x/2 = ______ cos x/2 = ______ tan x/2 = ______

A: If csc x = 4, 90° &lt; x &lt; 180°, then sin x/2 = ______ cos x/2 = ______ tan x/2 = ______

Q: 15-22, write the complex number in trigonome without using a calculator. 19. -4-3-2 Imaginary axis…

A: Given query is to find trigonometric form.

Q: Suppose you are standing at a distance, d, of 200 feet from a statue of height h feet. h d Ө Express…

A: Given query a to find indicated angle.

Q: Find the rectangular coordinates for the point whose polar coordinates are given. (5, 5) (x, y) = (

A: Topic - Polar to rectangular coordinate conversion We are given r=5θ=5πWe know…

Q: Solve 6sin2(t)+sin(t)−1=0 for all solutions 0≤t<2π t=

A: Let's find value of t.

Q: Find the amplitude, period, and phase shift of the function. Graph the function. Be sure to label…

A: The given function is y=2cos3x+π2

Q: ← An aircraft (at Z) is spotted by two observers (at X and Y) who are L=1000 feet apart. As the…

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Q: Solve

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Q: Use a calculator to find the approximate value of the following expression if possible. Express your…

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Q: Find the exact value of t cot (sin-¹())

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Q: I am not sure how to solve these equations 4 sec (2 x theta)-5=3 4 sin^2 (4 x theta)=1 2 sin^2 (2…

A: (1).   The given trigonometric equation is:4sec(2θ)-5=3

Q: Simplify the following trigonometric functions using the unit circle. 1) 7 cot (7) + 8 sec ec (5/57…

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Q: Finding the Angle Between Two Vectors In Exercises 31-34, graph the vectors and find the degree…

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Q: In the figure below, find the following. (Round your answers to three significant digits.) 60.0⁰…

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Q: Finding a Power of a Complex Number In Exercises 107-126, use DeMoivre's Theorem to find the…

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Q: 2 sin² (100) + 3 sin(100) + 1 = 0

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Q: Solve csc(3x)−6=0 or the four smallest positive solutions x=

A: Solve csc(3x)−6=0 or the four smallest positive solutions

Q: Identify the excluded values. Show all of your work x²+x-2 5x+4 2) f(x)= r

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Q: In a shaded corner outside of a manufacturing building, a decorative shrub garden as shown in the…

A: Given query is to find the bag of fertilizer needed.

Q: The sides of the triangle are 12cm, 14 cm and 17cm respectively. a. Find the radius of the inscribed…

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Q: The exponential function f(x) = (²¹)* +3 has the ---Select--- asymptote y = This means that as x→…

A: Given data:- The given exponential function is,f(x) = 16x+3

Q: d Use the information in the image above to answer each question. Use exact answers a) Express d as…

A: Given query is to find the perimeter in terms of θ.

Q: Solve 3cos2(x)−4cos(x)+1=0 The smallest non-negative solution is:    The next smallest…

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Q: Describe the transformation of the given trigonometric function. A) y = -3 sin(x + ) - 2 0000

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Q: Find the indicated power using De Moivre's Theorem. (Express your fully simplified answer in the…

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Q: 1. Find all solutions of the given equation. 4 sin² 0-3=0

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Q: Find the solutions in the interval [0, 2π). (Enter your answers as a comma-separated list.) csc cot…

A: Topic = Trigonometry

Q: Using the sum of difference formulas, find the exact value of sin(165°). Express your answer in the…

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Q: let cosA=7/25 with A in QIV and sinB=-8/17 with B in QIII Find the exact value of sin(2A)

A: Given:- We use sin2θ+cos2θ=1⇒sinθ=±1-cosθand ⇒cosθ=±1-sinθ Also sin2θ=2sinθcosθ

Q: Simplify the trigonometric expression. cos(x) sec(x) + tan(x)

A: We have to solve the above trigonometric expression

Q: tch the polar equation with the graphs labeled I-VI. Use the table to help you. r = sin(40) OX III…

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Q: A balloon 40.3 m in radius is to be filled with helium. How many m³ of helium are needed to fill it?…

A: Given query is to find the volume of the helium needed.

Q: 2. Convert the rectangle coordinate (1,-√3) to a polar coordinate (r, 0) with r>0,-2л ≤0<2.

A: Given query is to convert rectangular to polar coordinates.

Q: A woman standing on a hill sees a flagpole that she knows is 65 ft tall. The angle of depression to…

A: Consider

Q: If the angle is in standard position and P(x, y) is a point on the terminal side of 0, and r is the…

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Q: If sin(0): tan (0) = = 7 12 I find the exact value of tan(0) where << . 2

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Q: Solve 8cos2(t)−10cos(t)+3=0 for all solutions 0≤t<2π t=

A: To solve the following equation for all solutions for 0≤t&lt;2π.8 cos2t-10 cost+3=0

Q: Please write a rational expression (in factored form please) that could produce this graph.  Please…

A: see below the answer and explanation

Q: 2cos 2theta + 1 = 0 a. Find all solutions of the equation b. Find the solutions in the interval [0,…

A: 2cos 2theta + 1 = 0 a. Find all solutions of the equation b. Find the solutions in the interval [0,…

Q: 680 ft (a) Express the angle 0 as a function of the height h of the balloon. 0 = (b) Find the angle…

A: Given query is to find the Indicated angle.

Q: solve for x, if 0 < x < 2pi. Give your answer using exact values only. 2sinx-cotx-cscx=0

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Q: 25 70 15 B

A: We know  sinθ=PerpendicularHypotenuse=OppositeHypotenuse

Q: sin-1 Зл 2

A: Given : sin-13π2

Q: The current I, in amperes, flowing through an ac (alternating current) circuit at time t, in secon…

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Q: Find the indicated power using De Moivre's Theorem. (Express your fully simplified answer in the…

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Q: Rewrite the expression as an algebraic expression in x. sin(tan-¹(x))

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Q: 3. Use a Doubleor Half-Angle Formula to solve the equation in the interval [0,27) 2 sin² 0=2+cos 20

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