3. Find the exact values of each: (a) cos(13) (b) sin (c) tan ㅠ 3 3π

Q: Q1. Graph the polar equation: I = 1+sin 0 Fill the table and use the values to graph. Use π/4 as…

A: The given polar equation is r=1+sin θ

Q: A rectangle is to be inscribed in a semicircle of radius 6 cm as shown in the figure bel -6 cm- Find…

A: solution:-radius, r=6 cmusing trigonometric ratiosOA=rcosθAB=rsinθ

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

A: See the details solution in below

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

A:

Q: Writing a Complex Number in Standard Form In Exercises 47-58, represent the complex number…

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

A: We have to solve the above trigonometric expression

Q: Use the figure to answer the questions below 5 0 a Given that the circle has a radius of 5, express…

A: We have to find the value of a in terms of θ.

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

A:

Q: Given the triangle below, find sec(0). Enter the answer as a fraction. Provide your answer below:…

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Q: Outside temperature over a day can be modelled using a sine or cosine function. Suppose you know the…

A: Topic = Trigonometry

Q: Use the vectors u = (4, 4), v = (−5, 2),and w = (4, −1)   to find the indicated quantity. (u v) −…

A:

Q: Use the figure to answer the questions below d √3 Use the information in the image above to answer…

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

Q: Find the area of the triangle if a = a Area b Y in² B 11 inches, c = 9 inches, and B = 40°. Round to…

A: Here we have to find the area of the triangle.

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

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Q: Convert the polar equation to rectangular coordinates. (Use variables x and y as needed.) 2 = 8…

A: Given r2 = 8tanθas we know that conversion between polar and rectangular coordinates x = r cosθ…

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

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

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

A:

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

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Q: 2sec² x - secx - 6 = 0.***

A:

Q: 25 70 15 B

A: We know  sinθ=PerpendicularHypotenuse=OppositeHypotenuse

Q: Find the magnitude and direction (in degrees) of the vector. (Assume 0° ≤ 0 < 360°.) *-(-√²-√2) 8…

A:

Q: Suppose you are standing at a distance, d, of 200 feet from a statue of height h feet. h d 0 Express…

A: As we know that tanθ=HeightBase for an right angle triangle with one acute angle θ.

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

A:

Q: Finding the Angles in a Triangle In Exercis vectors to find the interior angles of the tria given…

A:

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: X Jus 45 LO 45

A:

Q: 1-Use the discriminant to find the number of real and imaginary solutions of the quadratic equation.…

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: Using the Angle Between Two Vectors In Exercises 39-42, find u. v, where 0 is the angle between u…

A: Given Data : Here we have given two vectors u,v with ||u||=9, ||v||=36 and the angle between θ=3π4.…

Q: I need help writing these complex numbers in a standard form. 1) 3i(2 +5i) + 2i(3 - 4i) 2) (3 +…

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Q: 1. (1 cos 0) (1 + cos 0) (1 + cot²0) = 1 1 1 secx - 1 secx + 1 2. 2 cotx csc x + 3. sin²xcos5x = cos…

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Q: Solve the given equation. (Enter your answers as a cor 2 cos² (0) - 11 cos(0) + 5 = 0 0= =

A: Topic = Trigonometry Interval for the solution is not given in the question.

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

A: givenslope of line=12

Q: 37 20 800 m

A: Find base length

Q: If sin x = sin 2x = cos 2x tan 2x = 30 20 " x in quadrant III, then ;

A:

Q: What is the length of side KL rounded to the nearest tenth of a cm?

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Q: 2. Here is an equation: 9csc²x-23 = -cscx + 3 cot²x - - sinx A) Simplify the equation, such that it…

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Q: Solve cos(x)=0.15 on 0≤x<2π There are two solutions, A and B, with A < B A= B=

A:

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

A: We have to find the three positive solution

Q: Solve for the exact solutions in the interval [0,2π). If the equation has no solutions, respond with…

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Q: Verify the identity. cot x = 1 + cos2x sin 2x

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Q: A 150-ft tower is anchored on a hill by two guy wires. The angle of elevation of the hill is 8°.…

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Q: 77. (2 - 2i)(1 + i)

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Q: Graph both functions on one set of axes. f(x) = (2)* and g(x) = 1.5x ↓↓ 4 g -4 2 -2 y 6 2 y 6 4 2 f…

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Q: 3. Use trigonometric identities to manipulate the following equations, such that their left side and…

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Q: What do these coordinate systems (Cartesian (rectangular), the polar, and the complex coordinate…

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Q: J 61² 8cm L K

A:

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: 3. Given the point (x, y)=(-40/3,40). Convert this point to polar coordinates, (r.), with r>0 and 0…

A: given  (x,y)=(-403,40)in polar coordinates    x2+y2=r2and     tan(θ)=yx