If θ is an angle in standard position and its terminal side passes through the point (2,7), find the exact value of tanθ in simplest radical form.

Q: Solve cos(x)=−0.79 on 0≤x<2π There are two solutions, A and B, with A < B A= B=

A: Given:       cosx=-0.79 on 0≤x&lt;2π Solving for x using inverse cosine function.     cosx=-0.79…

Q: (b) Solve sin 2x + cos2x = sin² x+1 for 0≤x≤ 2.

A: (b).The trigonometric equation is:sin(2x)+cos(2x)=sin2x+1            for   0≤x≤2π

Q: Solve 8cos(3x)=4 for the smallest three positive solutions. Give your answers accurate to at least…

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Q: cos x tan² x = 3 cos x

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Q: A square has a side length of (4x + 8) inches. Which expressions represent the area, in square…

A: Area of a square = (Side length of the square)2

Q: 24 ? 14

A: To determine the measure of the missing angle.

Q: Use vectors to find the interior angles of the triangle with the given vertices. (Round your answers…

A: Let's find interior angles.

Q: Solve 8cos(3x)=4 for the smallest three positive solutions.

A: We have to find the three positive solution

Q: Solve

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Q: A water sprinkler sprays water over a distance of 20 feet while rotating through an angle of 120°.…

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Q: Find an exact simplified solution to the equation below so that 0 < a < π/6. 1 √3 α = tan(6x) =

A: The given equation tan6α=13 We have to find the value of α, 0&lt;α&lt;π6.

Q: Find parametric equations for the curve with the given properties. The line with slope passing…

A: givenslope of line=12

Q: Simplify the trigonometric expression. 1 + csc x cos x + cotx

A: NOTE: Refresh your page if you can't see any equations. .

Q: - Find lul, Ivl, 12ul, |v, lu + vl, lu - vl, and lul – lvl. u= = (1, -3), v = (-4,-4)

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Q: Problem 4: Find sin(2x), given cos x = , and sin x > 0. Do not use a calculator.

A: We have to find value of sin(2x).

Q: Find the solutions to the equation in the interval 0 ≤ B ≤ π. 2 cos(20) + 1 = 0 3 =

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Q: b= C= A = B C 0 ed a A b Use the right triangle and the given information to solve the triangle. a =…

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Q: Make the indicated trigonometric substitution in the given algebraic expression and simplify (see…

A: Given; Sqrt(x2-81)/x, x=9sec(theta)

Q: The basic equation sin(x) = 3 has ---Select--- ✓solution(s), whereas the basic equation sin(x) = 0.9…

A: Given data:- The basic equations, sin(x) = 3sin(x) = 0.9

Q: The triangle below has sides with lengths a = 42, b = 62, and c = 79. Find the measure of the…

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Q: Simplify the trigonometric expression. sin x CSC X cos X sec x +

A: The given trigonometric expression, cosxsecx+sinxcscx We have to simplify this expression.

Q: The characteristics of the cosine function are given. Find its equation. Amplitude: 7 Period: Phase…

A: The cosine function in standard form is given by  y=Acos(Bx-C)+D Where ,  A =(amplitude)  B…

Q: Verify the identity. tan x= 1- cos 2x sin 2x

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Q: 7. Satellites that are used for TV must remain over the same point on the Earth's surface at all…

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Q: A population increases according to P(t) = 230(1.03)t where t is the time in years since 2000. (a)…

A: Given:- A population increase by model Pt=2301.03t

Q: Find all exact solutions on the interval [0, 2π). If there is more than one answer, enter them as a…

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Q: Solve the equation 5√3 sec = 10. Express the answer in degree measure. 210+ + 360°k or 150° + 360°k,…

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Q: The electromotive force V of an alternating current circuit at time t can be describe by the…

A: Topic -Period of a function We are given V(t)=110sin(120πt)

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

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Q: If f(2)= 10, f'is continuous, and f(6) = 6 Lºre f'(x) dx = 16, what is the value of f(6)?

A: As per rule of bartleby we can solve only one question at a time and we can solve only three subpart…

Q: If 90≤ θ ≤ 270 and sin(θ) = 0.72 What is the angle of θ? Find a postive and negative angle that is…

A: Given:- 90≤ θ ≤ 270  sinθ= 0.72

Q: The x-value of a the first peak of a cyclical graph is 45, while the x-value of the second peak is…

A: Please see the below picture for detailed solution.

Q: Complete the sentence below. If the radius of a circle is r and the length of the arc subtended by a…

A: Given: Length of the arc subtended by the central angle = r            Radius of the circle =r  To…

Q: 2sec² x - secx - 6 = 0.***

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Q: #7: Solve for y. 62⁰ у 22 23 соды у: 10.

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Q: Write the given expression as an algebraic expression cos(2 sin ¹(x))

A: To solve in terms of x.

Q: Find all of the solutions of the equation 1- sinx = √3 cosx on the interval [0, 360°]

A: To find all the solutions of the equation 1-sin x=3 cos x on the interval 0, 360°.

Q: Describe the end-behavior of the left side of the function: f(x) = -x³ - 2x + 4 y approaches…

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Q: Establish the identity (Cos3x/sinx) + (sin3x/cosx) = 2cot2x The arguments in cos and sin is read…

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Q: Use long division or synthetic division to divide the following polynomials: 2x³ + x² - 2x +1+x+2

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Q: Give the smallest two solutions of cos(5θ) = -0.7773 on [ 0,2π). Separate the two solutions with a…

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Q: If: a cos(0)+bsin (0) = R cos(0-3) where a = 8 and b = 11 Find the angle B. Give your answer in…

A: Given:      acosθ+bsinθ=Rcosθ-β where a=8  and b=11  We know that             R=a2+b2…

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: Which one of the following is the same as sin(2x)+cos(2x) a. 2sin(x)+2cos(x) b. 2sin(4x) c. 2…

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Q: A tree casts a shadow x = 80 ft long when a vertical rod 6.0 ft high casts a shadow 4.0 ft long.…

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Q: What is the sum of 2-3i and 1+7i

A: what is the sum of 2-3i and 1+7i?

Q: J 61² 8cm L K

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Q: Do I need to write these complex numbers to standard form like these? 1) 8 - sq(-18)  2) (8 -…

A: Given that    8 - sq(-18) (8-i)/(2+3i)

Q: If co cos(x + 7) + sin(x 6 the number A – co|= 3 A, then

A: NOTE: Refresh your page if you can't see any equations. . use the formula

Q: Outside temperature over a day can be modeled as a sinusoidal function. Suppose you know the…

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