Suppose that cos θ = 2/5. Calculate tan θ in the following two cases: (a) 0 <θ< π/2 and (b) π<θ< 2π.

Q: For the ordered pair, give three other ordered pairs with 0 between -360° and 360° that name the…

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Q: 3. The angle of elevation of a building 80 m high from a man on the ground is 50°42'. How far is the…

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Q: 1. Suppose a represents a radian angle measure and cos(a)=−0.5. What is the numerical value of…

A: topic - trigonometric ratios

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Q: 20.0 m 3. A dog is tied to the corner of a rectangular garage. He is given enough leash to run along…

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Q: A point is graphed in polar form. Find its rectangular coordinates. (х, у) Sa

A: This question can be solved using the concept of changing polar coordinates to rectangular…

Q: Find Sin CatA) with a in quadrant II 13 Sin a=5 %3D COS B = 12 , with B in quandroint IV 13

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Q: Find Jul, Iv], |2u], v, lu + vl, ļu – vl, and Ju| - |vl. u = 5i + j, v= 4i – 3j Jul = |v| = |2u| Ju…

A: Given: u=5i+j, v=4i-3j We know that if a= xi+yj+zk then a=x2+y2+z2

Q: The cosine of the angle is 4 -

A: let the acute angle be θThen cos(θ)=34θ=cos-1(34)

Q: Problem 8 Light poles use guy wires for support and electrical grounding. Suppose a 25-foot guy wire…

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Q: 2. A rope is attached to a boat at water level, and a man on the dock is pulling on the rope at the…

A: Draw the given situation at any time t then using Pythagoras theorem and application of derivative.

Q: An antenna has 4 guy-wires connected to the top of the antenna, and each guy-wire is anchored to the…

A: I am going to solve the given problem by using some simple trigonometry to get the required result…

Q: What is m<A? A.)55 degree, B.)75 degree, C.)15 degree, D.)35 degree

A: Option C

Q: Solve using the Quadratic Formula 8) x2 - 8x + 5= 0

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Q: Find a formula for the exponential function passing through the points (- 2, 250) and (1, 2) f(x) =…

A: We have to find a formula for the exponential function passing through the points (-2, 250) and (1,…

Q: A man is flying in a hot-air balloon in a straight line at a constant rate of 7 feet per second,…

A: Given :  A man is flying in a hot-air balloon in a straight line at a constant rate of 7 feet per…

Q: e figure below is a diagram that shows how Colleen estimates the height of a tree that is on the…

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Q: Find the solution(s) for theta. 0 = tan 0 {0, 180} O (135, 180} {0} (135, 315}

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Q: dy ху+3x-у-3 7. Ans: y-x+In y+3, %3D = C dx ху-2х+4у-8

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Q: Solve the equations algebraically. Give exact values. a) cos(20) + cose = 0 0 < 0 < 27n 00000 b)…

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Q: Given v=-3i and w=j, find the following. A. V*W B. V*V

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Q: After a person exercises for a few minutes, the velocity v (in liters per second) of air flow into…

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Q: 9. Transform the equation 2x?+2y?3 into a equa tion. Polar

A: Given

Q: Solve using the Quadratic Formula. 6) 8x2 + 8x + 4 = 0 Sh

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Q: 6. Find all the solutions to 2 cos (2x)-130 on 0<x<27

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Q: Complete the proof of the identity by choosing the Rule that justifies each step. (sec2x-1)csc2x =…

A: To complete the proof of the identity by choosing the Rule that justifies each step.sec2 x-1 csc2…

Q: Find the common difference, the 52nd term, and the explicit formula.

A: All given sequences are Arithmetic Progression. For each of which nth term is given by…

Q: Solving Quadratic Equation by Completing the Square 3) x² - 12x + 32 = 0 Move constant term to the…

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Q: 8) -3, -8, -13, -18, .. 10) 29, 24, 19, 14, .. 12) 10, -90, -190, -290,..

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Q: Find the constant term by completing the square. 2 2) x² - 40x + 2. 2 Take half the "b" term. Square…

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Q: 2.) A ship at sea is 80 miles from one radio transmitter and 145 miles from another. The angle…

A: The given problem is solved below in detail.

Q: From a 146-foot observation tower on the coast, a Coast Guard officer sights a boat in difficulty.…

A: topic - application of trigonometry tanθ=oppositeadjacent

Q: Find the specified vector or scalar. V = 6i + 2j; Find 4v. O 24i + 2j O 10i + 2j O 10i + 6j O 24i +…

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Q: Convert the following polar equation to rectangular form. Identify the curve. r= 5 The rectangular…

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Q: 9. Find the magnitude and direction of the vector (-1,9). 10. A boat leaves the marina and sails 3…

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Q: 9. Find the equation of the locus of a point, the difference of whose distance from (-5, 0) and(3,…

A: Suppose the point (x,y). The distance between (x,y) and (-5,0) is: (x+5)2+y2 And, the distance…

Q: Find the area of a triangle below. Round the answer to two digits after the decimal point. Specify…

A: Given

Q: What is cos θ? Use the figure below. ROUND OFF YOUR ANSWER TO TWO DECIMAL PLACES.    B.2. What is…

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Q: -2/Graph the function y = -2 cos(3(x - 60'] + 4. Indicate the amplitude, period, phase shift, and…

A: To graph the function is: y=-2cos(3(x-60°))+4

Q: suppose sin (t) = x /x+1 . find cot (t)

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Q: tan x- 1 1. tan (x - 45°) = tan x + 1 1- tan 0 2. tan (45° - 0) = 1+ tan 0

A: Basic trignometry problem

Q: A 70° b = ? C = ? ? a = 15 В

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Q: D ? b = 14 C = ? ? E

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Q: Use the law of cosines to find a true statement from the list below, if C = 90°. O c² = 6²+a²-ba c²…

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Q: Question Given the vector u= (-5, –1), find the unit vector in the same direction as u. Enter an…

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Q: A cosine function has its first maximum to the right of the y-axis at (2,5), and its first minimum…

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Q: Use the figure below. Determine whether the given statement is true or false. B. H. E A +B + C+ D +…

A: topic - vectors

Q: Carry out the indicated algebraic operation. (If not possible, enter IMPOSSIBLE in any cell of the…

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Q: x+ 16 is one-to-one. For the function, The function f(x) = X-4 a. Find an equation for f *(x), the…

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Q: 3. The angle of elevation of the sun is 27°. IF a tree Is 12 yd. tall, how long will its shadow be?

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