16 Tt 2c) Compute tan 3

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A: To evaluate the given

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Q: lim, o (cos z)= takes which indeterminate form? А. 100 В. 00 С. оо D. Е. 1 х о 8 -18

A: Here, we can solve it by taking the limit of individual terms.

Q: Use trigonometric substitution to compute do o 1+ sin? 0*

A: Final answer is π/sqrt(2).

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Q: 2c. Show that * (5 - ) 4 sin z - cos 2r + 3 -8 cos for every r.

A: To prove: 4sinx-cos2x+3 = 8cos4π4-x2 We know that cosx-y  = cosxcosy+sinxsiny and cos2x= 1-2sin2x

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Q: 4. (cotx + tan) de

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A: We have to prove tan-1z=z-z33+z55-...

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Q: Prove tan ? 20° + tan ? 40° + tan ? 80° = 33.

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Q: se: Two different con

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Q: Show that tan(tan + tan 17 15

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Q: St dx tan 1²dt=2x tan x² X (A) True B) False

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Q: 3pi Find the value of tan, - 2i, ( 4 一 13 j1490 355 1491 13 355 1490 13 355 1490 1491 13 355 1490

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Q: Verify the following Identities: 2. 1. (asinx + bcosx) +acos x-bsinx) =a*+b° 2.

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Q: tan (A+B) - Ian A 1 1 tap (AFB) Fan A tan (A+B - A) It tan (A+B) Fan A tan B

A: This is a problem related to trigonometry identity. Based on the general formula and concept we will…

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Q: Suppose a, b ∈ R and a < b. Prove that a and b cannot be both roots of the equation x^3 + 5x = 4 cos…

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Optimization

Optimization comes from the same root as "optimal". "Optimal" means the highest. When you do the optimization process, that is when you are "making it best" to maximize everything and to achieve optimal results, a set of parameters is the base for the selection of the best element for a given system.

Integration

Integration means to sum the things. In mathematics, it is the branch of Calculus which is used to find the area under the curve. The operation subtraction is the inverse of addition, division is the inverse of multiplication. In the same way, integration and differentiation are inverse operators. Differential equations give a relation between a function and its derivative.

Application of Integration

In mathematics, the process of integration is used to compute complex area related problems. With the application of integration, solving area related problems, whether they are a curve, or a curve between lines, can be done easily.

Volume

In mathematics, we describe the term volume as a quantity that can express the total space that an object occupies at any point in time. Usually, volumes can only be calculated for 3-dimensional objects. By 3-dimensional or 3D objects, we mean objects that have length, breadth, and height (or depth).

Area

Area refers to the amount of space a figure encloses and the number of square units that cover a shape. It is two-dimensional and is measured in square units.