use trigonometric substitution to write algebraic equation as trigonometric equation of x, where -pi/2

Q: Solve the equation on the interval [0, 2π). Write your answer in exact simplest form. 4 sin²x = 3-4…

A: Given

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Q: I'm not clear on how the triangle should be drawn, specifically the line B to C.

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Q: 4 1 Given that cos A = --, with A in quadrant III, and cos=-- with B in quadrant II. 5 The exact…

A: Using trigonometric identities, we can find the angle.

Q: Find the qoutient 2/1/20 2. = 6(cos+isin =) 2₂ = 1/cos= tisin sin =/ )

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Q: Find the slope of the tangent line to curve r = 1- cos 0 at 0 = . 01/2

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Q: verify the given identity 73) (cos(x)/(2) + sin(x)/(2))2 = 1 + sinx

A: We are authorized to answer one question at a time, so we answer the first one. Please repost your…

Q: Solve √3+5 sint: = 3 sint for 0 < t < 2π Enter you answers as a comma separated list and use pi for…

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Q: Given y = 3 cos(2x + pi/3) the amplitude is Blank 1 and the period is Blank 2. Blank 1 Blank 2 Add…

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Q: Find a rectangular equation for the given plane curve, and graph the curve. x=5+2cos(t) y=5+2sin(t)…

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Q: Write the given expression in terms of x and y only. -1 tan (sin ¹ x + cos¯¹ y)

A: As per Bartley Q&amp;A guidelines, we can answer only one (first) question. For the answers of…

Q: write each trigonometric expression in terms of a single trigonometric function. 5) cos23a - sin23a…

A: the trigonometric expression is given

Q: Write the vector v in the form v₁i+vaj given ||v||=7 and 0-120° Vector v = Blank 1i+Blank 2j Blank 1…

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Q: || sin(x - x) sin x + π 2

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Q: If csc(z) 30 17 Give exact answers. (²) 2 cos ( 17 ) = tan (²) 2 sin - (in Quadrant 2), find

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Q: use the power-reducing identities to write each trigonometric expression in terms of the first power…

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Q: Eliminate the parameter t from the following. fa(t) = -sin(t) ly(t) = -cos(t)

A: The given equations are,The aim is to eliminate the parameter .

Q: The angle of elevation from a point on the ground to the top of a pyramid is 28°30'. The angle of…

A: we need to find out the height.

Q: verify the given identity 83) tan2x = 2/(cotx - tanx) 85) 2tan(x)/(2) = (sin2x + 1 -…

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Q: In which quadrant is the following true: csc020 and sece ≤ 0? 3 2

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Q: A person sitting on a Ferris wheel rises and falls as the wheel turns. Suppose that the person's…

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Q: Which expression is equivalent to cos²x+cot2 x + sin² x? Otan² x O cot² x Ocsc² x O2 csc² x E

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Q: The graph of the cosine function has been vertically compressed by a factor of 3, reflected in the…

A: Using the given transformations, we can find the required equation.

Q: The three sides of a triangle are: a = 14, b = 12, c = 17. The area of the triangle is to two…

A: The three sides of a triangle are: To find the area of the triangle.

Q: A Ferris wheel at an amusement park has a diameter of 60 metres and makes one complete rotation in 5…

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

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Q: Sketch the base function and one cycle of the function f(x)=-2sin[3x]-1. Draw the graphs by hand.

A: We have to sketch the base function and one cycle of the function

Q: The angle equals (a) Enter the following trigonometric functions in exact value (do not use…

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Q: (1) True or False? Explain your answer. If a triangle contains an obtuse angle, then it must be…

A: The solution is shown in step-2

Q: These formulas are found from taking the square root of the power reduction formulas and substitute…

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Q: The maximum voltage in a simple generator is V. The changing voltage v as the coil rotates is given…

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Q: can u double check and answer this again

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Q: secx=tanx+1 Write your answer (s) in radians in te If there is more than one solution, s x

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Q: A 12-foot ladder leans against a building so that the angle between the ground and the ladder is 65…

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Q: The angle equals (a) 30 degree(s). 6 Enter the following trigonometric functions in exact value (do…

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Q: Find the measure in degree(s) of the acute angle a with the following given trigonometric function…

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Q: The equation that corresponds with graph a is  y = - 2 sin (x + 90)  2 How does the 2 effect the…

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Q: For the equation, 3 sin (0) 1 = 0 a. Solve for all degree solutions. 0 b. Solve for if 0≤ 0 < 360°.…

A: For the equation, (a) To solve for all degree solutions.(b) To solve for  if .

Q: if log¿ ï = 0. 4, then log, (ba X is:

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Q: write the complex number in standard form 3) √(-98) 5) √(16) + √(-81)

A: As we know that

Q: 4 3 2 1 -1 -2+ TU/4 п/2 3л/4 π 5/4 3/27/4 2π 9π/4 5/2 Based on the graph above, determine the…

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Q: c) (cos 2x)² + cos 2x + 1 = 0 [-π, π]

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Q: A whispering gallery is a room in the shape of an elliptic reflector. If a source of sound is placed…

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Q: Find the exact value or state that it is undefined. In the latter case, enter "DNE". 3 (³})) 5 sin…

A: Explanation of the answer is as follows

Q: Factor the expresison and use fundamental identites to simplify 3 tan2 x - 3 tan2  x sin2 x

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Q: To find the distance AB across a river, a distance BC = 379 meters is laid off on one side of the…

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Q: Which of the following values for is a counterexample to the claim that cos(- 0) = cos(0) is an…

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Q: perform addition and use fundamental identites to simply sin(x)/1 + cos (x) +1 cos (x)/sin(x)

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Q: 10) Solve for x. Round final answers to two decimal places. 30⁰ 50° 25 mm 45 mm 42° 30

A: for a right angle triangle,

Q: Find the area of the sector of a circle formed by a central angle of 45° and a radius of 7 meters.…

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