13.1 x cot(sin '0.1788)) O 2.38 13.31 O73.27 O 72.09 O 13.31

Q: Evaluate sin (44º) + cos (29º) using differentials. Refer to special triangles.

A:

Q: 3) | (1– cos² 2t) dt (Trigonometric int.)

A: ∫0π(1-cos22t)32dt

Q: 11. y = sin 12. y = cos*(-) 13. y = arccos(-) %3D 14. y = arcsin (- 5

A:

Q: Evaluate the integrals in Exercises

A: ∫-ln20cosh2x2dx∫0ln104sinh2x2dx

Q: 1. Find the exact values of sinh (0) and cosh (0) using their definitions.

A: Sinh x=ex-e-x2∴ sinh0=e0-e-02=1-12=0∴sinh0=0      cashx=ex+e-x2∴cash0=e0+e-02=1+12=1⇒cash0=1

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Q: 8. if y =; sinh(2x + 1) 9. ſ cot* 0 de. 10. * if y = cot-()- tan-1x.

A:

Q: 16. Calculate (sin 0 , 0 , cos 20) d0.

A: ∫0π< sinθ,θ,cos 2θ>dθ

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A: To find : ∫sin3x+cos2x2dx

Q: |6. Determine two values of x between 0° and 360° that have sin x 2

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Q: find the value of cE CoB] for flx)= that satisfy value theorem. mean

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Q: Evaluate sin (44°) + cos (29°) using differentials. Refer to special triangles.

A: To evaluate sin44°+cos29∘ using differentials.

Q: Find the value of u in the interval 30°, 90°4 in decimal degrees, if sin u = 0.27843196. Give the…

A: sin u=0.27843196⇒ u=sin-1(0.27843196) Now by using a calculator, we have…

Q: Pind yl with im Picit differentir tion Cosと+ Sinxニ)

A: NOTE: Refresh your page if you can't see any equations. . take the first derivative…

Q: L(cos(at)sinh(at))

A:

Q: s Sin'2o Cos 20 do

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Q: 12 If sinh x= find cosh x, tanh x, coth x, sech x, and csch x. 35

A: Given, sinh x = 1235   We have to find  cosh x, tanh x, coth x, sech x  and  csc hx

Q: If x = Cos0 + Cos 20 and y= Sine+ Sin 20. Show that : i) x'-y' ii) 2xy Sin 20 + 2 Sin30 + Sin40 Cos…

A: To show that i) x2-y2=cos2θ+2cos3θ+cos4θii) 2xy=sin2θ+2sin3θ+sin4θ

Q: S 3. sin°ydy 1+ cosy

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Q: The value of integral (cos(4x)+cos(81)) dx

A: We have to determine the integral

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Q: cos ( - i ln3) is equal to, COS O 4/2 O 5/2 4/2 2. O 5/2 6. 4/2 23,

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Q: (3.2 cos 2x+2 -dx. 1.8 1+ In x Use NINT on the calculator to evaluate:

A: We have to evaluate ∫1.83.2 cos 2x + 21 + ln x dx.

Q: |12 sin(4x) cot(cos(4x)) dx

A:

Q: 18. sin³ x cos x dx

A: Here we will use substitution method for solving this problem

Q: In estimating cos(5x)dx using Trapezoidal and Simpson's rule with n = 4, we can estimate the error…

A:

Q: If tanh(x)=5/13, what is the sinh(x)?

A: Answer is sinhx=5/12. Explanation is given below..

Q: 7. S sin3 4 x cos5 4 xdx

A: To find the integration

Q: Expand fix)= Sin(x+ TT),O<X< I ina half range sine series

A:

Q: 6) If sin 0 = 0.2774, find cos 0. Round to four decimal places.

A: Given: sinθ=0.2774

Q: (2 cos 2x+ 3 sin 2.x) 7. evaluated at x = 1 rad

A: Given query is to find the value of the expression at x = 1.

Q: 5. | sin (Tx) cos (Tx) dx

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Q: laploce ď ļ cos' at} 2

A:

Q: 12) Given y = 2 sin2x Period = b 3D Period = 1-- -1- -2

A: Solution: Give y=2sin2x Now use the form [a sin(bx-c)+d] That implise a=2 and b=2   Period =…

Q: 5- ft2 cost dt n/2 6- sin? 20 cos 20 de

A:

Q: 3. Find a positive root of cosx - xex = 0 upto four decimal places, using Newton-Raphson mehtod. %3D

A: I am attaching image so that you understand each and every step.

Q: .15 S sin²4y cos>4ydy

A:

Q: In estimating cos(5x)dx using Trapezoidal and Simpson's rule with n = 6, we can estimate the error 1…

A: "Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: 2. Use Newton-Raphson's Method to find a root of the equation correct to 2 decimal places.(ɛ=0.01) x…

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Q: (7) Find sin(5x) cos(4x) dx

A: Topic:- application of integration     Note:- as per our guideline if more than one question…

Q: 2. Use Newton-Raphson's Method to find a root of the equation correct to 2 decimal places.(ɛ=0.01) x…

A: The given problem is to find the approximate root using Newton raphson method at accuracy upto 2…

Q: (12) ſ sin²x cos²x dx sin4x sin4x 8. 4 16 Option 1 Option 2 sin2x - 8. Option 3

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Q: 9, 9. tan 2x dx 0.

A: Integration basically means to find the integrals, i.e., to assign numbers to function in such a way…

Q: Why is I cos 0 |never greater than 1 in the first place?

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Q: 4. Evaluate sin (44°) + + COS (29°) using differentials. Refer to special triangles.

A:

Q: When a pendulum 0.5 m long swings back and forth, its angular displacement O from rest position, in…

A: Given    Diagram we have a triangle with the vertical angle as Ø, the hypotenuse 50 cm (the…

Q: Verify.

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Q: Find the deriva tive Of 6- sin (xy)+ e'

A: Note:- It is not mentioned in question for derivative find with respectvto what variable(x or y) so…

Q: Evaluate the indefinite intergral ∫sin(-10x) dx =

A: This question can be solved using integration by substitution.

Q: 5. sin'(21) cos°(21) dt

A: