Find all angles θ between 0∘ and 180∘ that satisfy the given equation: sinθ=√2/2

Q: Find the following for the given equation. r(t) = 5 cos(t)i + 5 sin(t)j (a) r'(t) = (b) r"(t) =

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Q: Find the angle x in the interval [0  , 360 ) degrees satisfying each of the following information:…

A: To find angle x in the interval [0°,360°).

Q: Use the given conditions. sin(u) <u<x 2

A: Given data is : sinu=513 Find the value of u in the interval π2&lt;u&lt;π

Q: If y = cos?(3x), then : dr %3D II

A: Given, y = cos23x  We have to find the value of dydx

Q: sin a = cos (a + 40) %3D а. 25° b. 40° с. 140° d. 50°

A: Given : sinα = cosα + 40

Q: Use the triangle below to find sin 0. V5

A: First of all we will use Pythagoras theorem to find the third side of the triangle. Then you will…

Q: If sin t = 2√7/7, 0 ≤ t &lt;π/2, use identities to find the remaining trigonometric functions.

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Q: Use the given conditions. sin(u) = 41 <u< T 2 (a) Determine the quadrant in which u/2 lies. O…

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Q: Use Figure to find the values of the trigonometric functions at t = π/2.

A: On the unit circle, x-coordinate of any point represents cosine of the corresponding angle and…

Q: If cos A with A in QIV , find sec %3D a. sec | b. sec 2. с. sec A d. sec 4-5 %3D A sec e. A2 1/2 II…

A: Since you are asking multiple questions. We are answering only the first question. Given, cosA=18…

Q: 1 B. sin A =

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Q: sin' x dx

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Q: Given x(t) = [sin sin († – ) ]õ(t), simplify x (t). %3D

A: x(t)=sin sint2-π2δ(t)

Q: 2) t? t et sin 4

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Q: Given sin t =2/3and cos t =√5/3, find the value of each of the four remaining trigonometric…

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Q: If e is an angle in the third quadrant in standard position, and tan e = 0.25, determine sin 0. %3D…

A: We have to find out

Q: If cos t = – and t is in the 3rd quadrant, then sin t V45 7 V45 7 /53 7 V45 2 V45 2

A: We have to find the value of sin t if t is in third quadrant and cos t=-27. We know the identity,…

Q: Given that sin t =1/2and 0 ≤ t &lt;π/2, find the value of cos t using a trigonometric identity.

A: sin t =12and0≤t≤π2i.e first quadrantIn 1st quadrant sin t, cos t arepositive

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: Find f), (b) f(r) tan(2r)

A: To find f’(x).

Q: Find y" given that sin(y) + cos(r) =I %3D

A: We have to find the second derivative

Q: Perform the indicated operations in each exercise H(y)=cos y-sin y, find H(1/2π)

A: Given that:     H(y)=cosy-siny

Q: If u(t) = (sin(7t), cos(7t), t) and v(t) = (t, cos(7t), sin(7t)), use Formula 5 of this theorem to…

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Q: The trigonometric substitution x= tan(t) 7 gives J 49 x2+1 dx= sec(t) Select one: O True O False

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Q: Let ZD be an acute angle such that cos D = 0.33. Use a calculator to approximate the m m/D

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Q: Use the linearization of f(x) = sin x about an appropriate point Xo to approximate sin 610. Note…

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

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Q: Match each angle on the left with its corresponding reference angle on the right. Unit Circle (cos,…

A: To match the given angles with the given reference angle.

Q: Find the exact value of sin () given csc(x) = 8, %3D for 90° < x< 180°. 3/7 А. С. 16 317 317 В. D.…

A: sin2(x) +cos2(x) = 1. cos(2x) = 1-2sin2(x) .

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

A: To calculate the angle u

Q: a sin(ry) dA, where R [0, 2] x (0, ] R

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Q: Find the acute angle in radians between the planes -2x + z = 1 and 1y + z = 1. You may ieave your…

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Q: Find the exact value of the trigonometric expression given that sin(u) 15 where 37t/2 <u< 27t, and…

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Q: Find the tangent of ZC. 89 D 39 Write your answer as an integer or as a de tan (C) = |

A: Consider the triangle

Q: real

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Q: Find the acute angle between the planes. Round to the nearest thousandth of a radian. = 9x - 9y – 5z…

A: I have appended the formula used in the solution part.

Q: If sin t = - and t is in the 3rd quadrant, - then cos t = V16 5 V34 V16 3 Vī6 V16 3

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Q: : When the axes are retated through an angle a, Find the transformed equation of x cos a + y sin a…

A: When the axes are rotated through an angle a then we have to  find the transformed equation for the…

Q: Find the angle (in radians) between the line with equation F(t) = +t and the line with equation…

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Q: akoy that the product of the perpendiculars drawn from the two points (t Va-b,0) upon the line cos 0…

A: We have to show that product of of perpendiculars is b^2.

Q: For cos x– sin y= , find the value of k so that ky"= – 1 at y=- 2 2 4 2

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Q: Find | cos? (πt) sin (π ) dr

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Q: /IF XY+Y=1+sind the value of at the fointt0,-1)

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Q: (b) /(cos æ)* sin a da

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