(ii) Prove the identity tan x+tan y tan x tany cot a+cot y

Q: Solve the triangle. b=10, c=9, A= 50° C≈ (Round to two decimal places as needed.) (Round to one…

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Q: Problem 10: Use a coterminal angle and the reference angle to find the exact value of tan(-17)…

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Q: What are the polar coordinates of the point A shown below? Enter your answer as (r, 0) with in…

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Q: What are the values of A and B? 6 A A = [? ]° Academy of Science. All Rights Reserved. 12 6√3 B B =…

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Q: A piece of cardboard is 2.4 times as long as it is wide. It is to be made into a box with an open…

A: We need to write down the length and restrictions on x.

Q: 8 ft 8 ft 1 ft 3 ft

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Q: Use the Pythagorean Theorem to find the missing side length of the following triangle (c is the…

A: We will be using the Pythagorean Theorem to find the missing side length of the following triangle.…

Q: Solve the following equation for x, where 0 < x < 2π. 8 cos(2x) + 48 cos x + 28 = 0 Select the…

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Q: Find the measure of the longest side of AABC with A= 60°, B= 70°, c = 12. (And then find the area.)

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Q: Find the angle rounded to the nearest tenth of a degree. cos(B) = 0.4509 11

A: NOTE: Refresh your page if you can't see any equations. . the given expression is

Q: Given the vector u counterclockwise ||ū|| 0 = = (1, 3), find the magnitude and angle in which the…

A: Solution: u→=1,3

Q: Which of the following equations describes a parallel line to y-3x+2?

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Q: 7. A b 35° с c = 10 a 40° В

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Q: e^x^2 = e^9

A: To solve for x.ex2=e9

Q: Note that your response should be written in sentences, and logically justified to gain full marks.…

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Q: 10. Given the equation 2 sin (20) - 3 sin(0) = 0 find all the solution

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Q: Simplify the expression: I 1-082

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Q: Solve the following equation for y(x): y" + 4y = 6 cos 3x + 20 sin 3x

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Q: If sin x x= 1 x in quadrant I, then find (without finding x) : sin(2x) = cos(2x) = tan(2x) =

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: The parabolic arch of a bridge shown in the following figure is 65 feet above the water at the…

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Q: Using the figure below, find the measure of each acute angle for the right triangle in degrees.…

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Q: Using the illustration and the given values, find sides a and b to the nearest foot. B b A = 36.87°,…

A: We will find the required.

Q: 4. Simplify the expression 1 cos²0 - 1.

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Q: For the following vector, convert from magnitude and direction to x and y coordinates r = 6, 0 = 20°…

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Q: Write the expression in rectangular form, x+yi, and in exponential form, re [√7 (CO 4t 18 +isin 4t…

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Q: Sketch the graph of the given equation over the interval 1-2, 2n y = cos x - 2 2+ DO

A: Solve the following

Q: Find the length of the major and minor axes of the ellipse. 4x²+12y² 48 -

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Q: 1. Find the exact values. No calculators allowed. a) sin(105°) b) tan (195⁰) c) cos

A: To find the values

Q: Solve the following quadratic equation: -x² + 2x + 30

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Q: Solve the system of equations. 4x² + y² = 25 z+y=5 ordered pa

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Q: What are the vertices of the following equation? Approximate your answer to the nearest hundredth if…

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Q: Draw a picture to represent each situation, then use angles of elevation or depression to find the…

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Q: Rectangular-to-Polar Conversion In Exercises 33-40, plot the point given in rectangular coordinates…

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Q: Evaluate. Write your answers as integers or as decimals rounded to the nearest hundredth. sin 48° =…

A: To find:- sin48° cos48°tan48°

Q: The area of a rectangular wall of a barn is 132 square feet. Its length is 10 feet longer than twice…

A: area(A)=length×widthgiven A=132 feet2let width =xthere for length =2x+10

Q: A = 72°, b = 31, c = 44

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Q: 11. Express in terms of x only sin(tan-¹x)

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Q: 3) Si Imaginary Real

A: "Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Zeratul moves along the horizontal direction with acceleration function (in ft/s2) given by a(t) =…

A: Given acceleration function:- at=cosht+e2t

Q: 7) y 8) 3 x

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Q: Assuming A + B = 90° 1. tan A 1 csc A wherever B occurs, simplify to single function: 2 2. cos² A…

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Q: Which of the following is equivalent to Select the correct answer below: cos acot 3+ sin a cos acot…

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Q: You are trying to aim a catapult at an enemy army across the river. Use the measurements in the…

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Q: The function f is defined as follows. -3x+4 ifx<1 2x-1 if x≥1 (a) Find the domain of the function.…

A: The given function, fx=-3x+4if x&lt;12x-1if x≥1 We have to its domain, intercepts, range and sketch…

Q: de your answer below: y = 9x + 7

A: Given query is to find the polar equation.

Q: Sketching a Plane Curve and Eliminating the Parameter In Exercises 13-28, (a) sketch the curve…

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Q: Which expression is equivalent to sec a(1 — cos²a) for all values of a for which seca(1 — cos²a) is…

A: We need to find an expression equivalent tosecα(1-cos2α)

Q: Consider the equation 20 cos x = 10 √2 for real values of x. a) A student states that this equation…

A: Given equation 20cosx = 102

Q: 4) 2x + 3y = -10 A) (7,-8) B) (4, -7) C) Infinite number of solutions D) (7,-4)

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Q: Find the given value. Find (f+gX(5) when f(x) = 22²-32-7 and g(x)=3x-3

A: 1)   (f+g)(x)=f(x)+g(x)f(x)=2x2-3x-7g(x)=3x-3