Find the direction cosines and angles of u = −4i + 3j + 5k and show that     cos2      + cos2       + cos2        = 1.

Q: Write 2 cos(3t) + sin(3t) as Rcos(wt - ). |

A: Here we will write in the form of Rcos(ωt-∅),

Q: show the steps to get the angle 2= 110° and B=20 f 2. cos x + cos B + cos 8= I

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Q: solve for the angle u, where 0 … u … 2π cos 2θ + cosθ = 0

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Q: Let a = ci + j and b = 8i + 15j. Find c so that the angle between a and bis Round your answers to…

A: To find the value of c

Q: Let a = ci + j and b = 12i + 16j. Find c so that the angle between a and bis- Round your answers to…

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Q: Find the direction cosines and angles of u = 7i + j − k and show that                 cos2    + cos2…

A: Direction ratio of u = 7i + j − k is (7,1,-1) So the direction cosine is:

Q: - . Write cos(i – 4) in the form of a + bi.

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Q: Which equation can we use to find the length of the side labeled æ? 5 30° A cos 30° 5 B tan 30° %3D…

A: Given: To find the value x=?Opposite side=5; hypotenuse side=x

Q: Solve for angles x and y of the following: (cos*2x – sin*2x) + j(csc²y – 1) = 0

A: The given problem is to find the values of angles x and y for the given complex equation. Given…

Q: Use the fact that 2(V6 + V2) cos- to find sin and cos 24 24

A: Given that the fact cos π12 = 146+2 To find the cos π24  and   sin π24

Q: Solve for the angle 0, where OsO<2t ( choose two points only) 3 sin? 0 = 4

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Q: Determine wo, R and 8 so as to write in the form u = R cos(wot-8). u = −cost + √3 sint

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Q: Please help If A and B are positive acute angles and cos A 1/7' cos B = 13/14 then show that A - B =…

A: The objective is to show that A-B=60°.

Q: Convert r = 6(sin(0) + cos(0)) to an equation in rectangular coordinates in terms of x and y.

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Q: The angle O is in the second quadrant and COS 0 = V41 Determine possible coordinates for point P on…

A: Here, given that cos θ=-441 and θ is in the second quadrant. So, sin θ is positive. Now,…

Q: Assume that is a positive acute angle. Given: cos 0 = Find: cos 20 11 61

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Q: Let a ci +j and b = 16i + 12j. Find c so that the angle between a and b is- %3D Round your answers…

A: We know that cos θ = a·bab  where θ is the angle between a and b.   Given  a = ci + j  and  b = 16i…

Q: Graph the cardioid r = a(1+ sin®), a< 0?

A: We are given that r=a(1+sin∅), a&lt;0 Here as we know that sin∅ is always greater than equal to -1.…

Q: Which of the following equations is CORRECT? O sinA cosB =1/2[cos(A -B)-cos(A+B)] O cosu-cosv= -2…

A: From the given options

Q: Find the component form of u + v given the lengths of u and v and the angles that u and v make with…

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Q: Let a = ci + jand b = 3i + 4j. Find c so that the angle between a and b is %3D Round your answers to…

A: Given a = ci + j and b = 3i + 4j. The angle between a and b is π6. We have to find the value of c.

Q: Let V = -î + 3j + 4k and W = 2î – 45 + k, then find cos 0, where 0 is the angle %3D between V+ W and…

A: Given: V⇀=-i^+3j^+4k^W⇀=2i^-4j^+k^

Q: Convert r = √2 cos(-) to cartesian.

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Q: 8. Find all angles in degrees that satisfy each equation. a. cos 3x b. sin 2x = 0 C. sin a = 2

A: To find all angles in degrees that satisfy each equation. a). Equation is cos3x=1. We know that if…

Q: -sin? 3 cos 3

A: Given trigonometric expression is cos2π3-sin2π3.

Q: 3) d - Find the values of r, sin Θ, cos Θ, tan Θand Θ in standard position if the terminal side of…

A: The given point -6,14 lie in the second  coordinate .In the 2 coordinate tanθ and cotθ are positive…

Q: Solve for the angle u, where 0 &lt; u &lt; 2pie.

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Q: solve for the angle u, where 0 … u … 2π sin 2θ - cos θ = 0

A: To calculate the angle u

Q: d. Use the compound angle formulae to expand x, and x2 into the form A sin 100nt + B cos 100nt,…

A: Given,     x1=3.75 sin 100πt+2π9     x2=4.42 sin 100πt-2π5

Q: : Find the angle between the lines whose direction cosines satisfy the equations 1+m +n=0,1 + m² -n…

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Q: Given x = cosθ, y = cos3θ. Solve the problem based on the image attached.

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Q: If u= e" cos0 cos (r sin 6) then find, du and ar

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Q: convert to an equation in rectangular coordination r = 1/cos θ − sin θ

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Q: Find cos(u/2) if cosu=0.153 and u is in Quadrant-IV. round to the 4th decimal place cos(u/2)=

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Q: 3. When instructed to find the length of ZY in right triangle YZX, Josh wrote ZY the equation sin 46…

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Q: Find all angles v between −π and π for which 2 √3 *sin(v)+2 cos(v)=2

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Q: 30. In right triangle ABC with C = 90°, AB = 10 and BC = 8. What is cos A? 4 3 4 3 а. b.- 5 d. - 4…

A: Option B is the correct answer. Pythagorean theorem must be applied to find out unknown side length…

Q: Find the direction cosines and angles of u = 5i + 3j − k and show that               cos2    + cos2…

A: u=5i+3j-k u=52+32+-12=35 Now direction cosines are, cosα=535cosβ=335cosγ=-135 Direction angles are,…

Q: Find the dot product ||v||=8,||w||=6 and the angle between them is theta = 240 degrees

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Q: Let a = ci + j and b = 3i + 4j. Find c so that the angle between a and b is. Round your answers to…

A: Given that a=ci+j and b=3i+4jand angle between these vector isπ6Solution:

Q: The coordinates of C are (0.96, 0.28). What are cos(A) and sin(A) ? Explain how you know. y .5 1 A…

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Q: cos (srj3) cosh"( 10<30")

A: Given : (1) ln [ ( 5+j3 ) + ( 6e^(j*12) ) ]- (10∠30° ) (2) cos(5+i3) cosh^(-1) ( 10∠30° )

Q: Graph r1 = 2 sin u and r2 =2 cos u and then name two points they have in common.

A: Givenr1=2sinur2=2cosuNeed to graph it

Q: Find sin θ and cos θ if the terminal side of θ lies along the line y = 2x in QI.

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Q: solve for the angle u, where 0 … u … 2π sin2 θ = cos2θ

A: To solve the equation: sin2θ=cos2θ where 0≤θ≤2π. Solution: Solving the given equation.…

Q: 2. If cos(0) = 0.6 , what are the coordinates of P ? Explain your reasoning. YA

A: Here we will use coordinate geometry and trigonometry property of traingle to solve this

Q: Let a = ci +j and b = 6i+ 8j. Find c so that the angle between a and b is Round your answers to four…

A: Here the given vectors are a=ci+j &amp; b=6i+8j

Q: 2. 16 4F6 Sin O how far is the directrix from the pole poce

A: