g)Sinhy=tanx ind

Q: 8 Verify the iclantity (sin @ +are) = / + Sin2

A: You have posted multiple Questions, as per our company guidelines we can solve only one, So I am…

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A:

Q: 4. To integrate using trigonometric substitution the functio dx -2x we let x = sec 8 - 2

A: Given indefinite integral is ∫dxx2+2x We can solve by using the trigonometric substitution. Given…

Q: 4) Simplifying the Trigonometric ldentity tanx cosx

A: Explanation of the answer is as follows

Q: Approximate sin 179 degrees using linear approximations.

A: Approximate Sin179°  using linear ApproximationLet x = 179° ,  a = 180°,  Hence∆x = x-a = 179°-180°=…

Q: Convert to cartesian Sin ()+ tan (0) %3D

A:

Q: What is the indefininte intregal of Tan^-1(3x) / 1+9x^2 .

A: The given indefinite integral is

Q: Find the value of sin2x over the interval (0,pie)

A: Given that  f(x) = Sin2 x and interval is 0, πWe know that the average value of a continous…

Q: The smallest positive number for which sin(2z) sin z = 0 is z = Hint: Apply a multiple angle or…

A: Given information: sin2x-sinx=0                                          ...(1)

Q: What is tan

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Q: Differentiate  (sin(x+a)/cosx)

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Q: verify the trigonometric identity: cot x( sec x-cos x)= sinx

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Q: area bounded by the curve and perimeter when r^2=sin theta +cos theta

A: We used Octave to plot the above curve. And the code is:  theta=linspace(0,2*pi,1000);…

Q: Use the knowledge of the Mean Value Theorem to prove the trigonometric identity x – 1 arcsin 2…

A: In order to prove the identity, we need to consider a function and by using mean value theorem we…

Q: cot x dz In (sinx)

A:

Q: Find sec (0). tan (0) = Show Your work here

A:

Q: The dx can only be evaluated using trigonometric substitution technique. A True False

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Q: How do you graph sin(x) with a horizontal or vertical stretch, such as 2sin(4(pi/2))?

A: To draw the graph of transforms of y= sin(x)

Q: 16. (tan 0+cot@y = sec 0+ csc? 0 tant

A:

Q: 1 sinx+cosx+1 -dx

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Q: sin (플 + z) + sin (-a) is equivalent to: 4

A: Given the trigonometric identitysin(π4+x)+sin(π4−x)

Q: 3. Find the area of one of the sine curve.

A:

Q: FTi csc x = 4,90° < x < 180°, then %3D sin cos %3D tan %3D II II

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Q: sin z sin- is equal to 2

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Q: Differentiate sin x? +1

A: According to the question,  We need to differentiate the function,  Function: sin x2 +1

Q: Hiw/ By using inverse fumction find : Sin(2z)=

A: Given: sin z+i =4i

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Q: a tangent line to approximate the value of sin( + to three decimal places.

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A:

Q: sec(20) 1+tan (0) 1-tan? (0)

A:

Q: Use differentials to approximate the value of sin 28 degrees . Note: For ∆x, express degrees in…

A: sin 28° = 0.46977

Q: Prove that: (sinA-cosA+1)÷(sinA+cosA-1)=1÷(secA-tanA)

A: To prove: sinA-cosA+1÷sinA+cosA-1=1÷secA-tanA

Q: Evaluate π' sin(πα) da

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Q: Ax) = / 3 sinx – cosx

A:

Q: 5): Use 7 points weddle rule to evaluate 5/2 Sin x dx using 6 digits accuracy...

A: 5. Given,          ∫0π2sinxdx=

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Q: Prove the identity. TC sin +x+ 2. cotx sin (n-x)

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Q: The simplified value of * tan + cot|

A: tanθ2+cotθ2

Q: Show that tan(arccosx) for |x| s 1, x + 0.

A:

Q: Find the total areas of the shaded regions

A: To find the area of the shaded region by the given curve in the figure. Solution: The given curve is…

Q: The trigonometric integral [sec² x (tan³x - 2 tan² x) dx is equal to

A: SOLUTION-

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A: Given that curve y=sinx and y=cosx    from x=π4 to x=5π4To find :Area bounded by the region from…

Q: 7) Find the exact value of the Tan t. %3D

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Q: TI ingularity at 0 of tan is removable. Select one True False

A:

Q: sec (20) y = 1ttan(20)

A:

Q: Describe some similarities and differences between y = cosx and y = secx.

A: Explanation of the answer is as follows

Q: Verify identity cot x sec x sin x = 1.

A: Verify: cotxsecxsinx=1

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.