Solve 6 cos(3x) = 4 for the smallest positive solution. Give your answer accurate to at least two decimal places.

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

A:

Q: Evaluate. Write your answers as integers or a decimals rounded to the nearest hundredth. sin 6⁰ =…

A: a)    let  A=sin6°

Q: Modeling Ocean Tides In one day, there are two high tides and two low tides in equally spaced…

A: Given: Modeling Ocean Tides In one day, there are two high tides and two low tides in equally spaced…

Q: Simplify the expression. 1- cos 143° 1+ cos 143°

A: Given ( 1 - cos143° ) ( 1 + cos143° )

Q: 6. Find the trig ratio of Tan(Z): Z 8 24 X 18

A: Tanz is the ratio of opposite of Z to adjacent side of Z

Q: SOLVE THE INEQUALITY AND WRITE THE SOLUTION IN INTERVAL NOTATION x² + 8x +12 ≤0

A: Here we have to solve the given inequality

Q: Name the property of real numbers illustrated by the equation: (3 + 7) + 12 = 3 + (7 +12)

A: Given equation: 3+7+12=3+7+12 It is of the form: a+b+c=a+b+c

Q: Evaluate. Write your answers as integers or as decimals rounded to the nearest hundredth. sin 56° =…

A: Given query is to find the value of the expression.

Q: Given sin (theta) = - 1/2 a) what quadrants could contain the angle theta ? b) what positive…

A: Given: sin θ=-12a To determine the quadrants that could contain the angle θ.b To determine the…

Q: 9. Simplify 2 + tan² sec² x - 1.

A: Simplify

Q: For the objects shown on the left below with an indicated cutting plane. Circle the letter…

A: Please see the correct answer below.

Q: Solve the equation. Give a general formula for all the solutions. List six solutions. 5√3 - 5 cot 0…

A: Given query is to find the solution of the expression

Q: 16. Find the exact values of the six trigonometric functions of the angle shown in the following…

A:

Q: , in which quadrant does the terminal point P(0)

A: Given,            secθ<0 and cotθ>0To find : In which quadrant does the terminal point Pθ lie?

Q: Find the magnitude |v|| and the direction angle 0 for the given vector v. v=-8i+12j |v||= (Round to…

A: if v=xi+yjthan v=x2+y2direction  tanθ=yx

Q: Solve 2 sin² (w) — 9 sin(w) – 5 = 0 for all solutions 0 ≤ w < 2π. W = Give your answers as values…

A:

Q: Find all solutions of the equation in the internal 10. 2d C Esin 6+1)=0

A: (tanθ-3)(sinθ+1)=0tanθ=3 and sinθ=-1  in  0,2π

Q: 4 sin² x - 4 sin x + 1 = 0

A: Given equation 4sin2x - 4sinx + 1 = 0

Q: Points A and B are separated by a lake. To find the distance between them, a surveyor locates a…

A: Given AC = 362 yd BC = 457 yd A = 42.5

Q: Find the difference quotient, (+)-f(a), for f(2)= 2² - 1

A:

Q: ↓ v=(9i-5j)-(9i- 6j) 0= uth, and the direction 0, to the nearest tenth of a degree, for the given…

A: Vector

Q: Complete the table using the formula s = re (8 in radians). (Round your answer to three significant…

A:

Q: B=, find the +

A: We have to find the values of the following given conditions according to the given information

Q: Use a half angle or reduction formula to fill in the blanks in the identity below: (cos(5x))² = cos(…

A: As we know ⇒cos2A=1+cos2A2

Q: A ferris wheel is 10 meters in diameter and boarded from a platform that is 5 meters above the…

A:

Q: Remember that rectangular form is z = a + bi and that polar form is z = r(cos 0 + i sin 0) Take…

A: Solution: To get the required answer, we simply multiply out the expression: 5.2(cos21°+i…

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

A:

Q: Express in terms of x only cos(sin-¹ x)

A:

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

A:

Q: Given that sin(0) = 6 and is in Quadrant II, what is cos(20)? Give an exact answer in the form of a…

A: To find the value of cos(2θ)

Q: a. Convert the polar coordinate (2, 5m/3) into rectangular coordinates. b. Convert the rectangular…

A:

Q: A concrete walkway is being installed around a garden area as shown: 4 ft O 10 ft If the concrete is…

A: Radius of inner circle r = 10 ft Radius of outer circle = 10 + 4 = 14 ft Area of concrete walkway

Q: Find the sine of ZE. G √11 F 9 E Write your answer in simplified, rationalized form. Do not round.

A:

Q: Which transformation changed f(x) to g(x)? f(x) = 2x + 2 g(x) = 2x + 7 Horizontal translation of 5…

A: To transform the function f(x) to f(x) +a we perform vertical translation of f(x) by a unit.

Q: The position of a particle as it moves horizontally is described the given equation s(t) = 12 sin- +…

A: The solution is given below: Note: since multiple subparts and multiple questions are asked, I am…

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

A:

Q: Solve the quadratic equation by factoring 2a^2+11a-21=0

A:

Q: a = 16, b = 28, C = 32°

A:

Q: Assuming A + B =90° wherever B occurs, prove the following identities: 1.) csc A = cos A tan A 2.)…

A: Trigonometric

Q: ind the unknown sides (in m) of the right triangle. (See figure below. Round your answers to three…

A: Triangle

Q: log₂ (4x + 6) = 3, then x =

A: We will find the required.

Q: Solve for t, 0≤ t < 2π. 18 sin(t) cos(t) t = = 12 cos(t) Give your answers as values rounded to at…

A: To solve the given trigonometric equation

Q: Determine the quadratic function whose graph is given below Q -10 (-3,-3 224 (0-12) O E The…

A: We are required to find the quadratic function of the graph shown in figure.

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 on the interval [0, 27). 3√3tan (0)-8=-5 π List the angles…

A:

Q: Write the expression in rectangular form x + yi and in exponential form rei COS 5 — + i sin 9 3 55]…

A: Given a complex number

Q: Find the domain and the vertical asymptote of the function. g(x) = In (x-7)

A: Solve the following

Q: 1. Evaluate the following integrals. (a) (sin 8) (cse³ # - csc² 0 - tan 0 sec 6) dº 78 (2³+3) 3-r…

A:

Q: Solve the following triangles. Find angles to the nearest minute and sides to the nearest tenth.

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

Q: Problem 4: Two forces of 128 pounds and 253 pounds act on a point. The resultant force is 320…

A: We have to find the angles between the forces.