Q3. Evaluate " -2n sin20 de Jo 5+4cose

Q: Q4:B/Simplify [cos 40+ i sin40 1³ [cos 20-i sin2015 using De Moivre's theorem?

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Q: Q4:B/Simplify [cos 20-i sin2018[cos 30+ i sin301² [cos 40+ i sin40]³[cos 20-i sin2015 using De…

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Q: Q3:- If x= sec 0- cose and y = sec" 8- cos" 0 Prove or disprove that (x2 + 4) ) = n2G2+ 4) %3D

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Q: Solve the following equation; 2 tanh- 2r = In(r – 2) – In(x). %3D

A: We solve this following equation using simple mathematics and its solve in a simple form of…

Q: | sin(6y) sin(8y) dy.

A: we have to solve the integral

Q: Q3) Ify = in[sec 8 + tan 8) find

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Q: find the four non zero terms in the maclaurin serise for sin h-lx

A: Formula Used: We will need following binomial expansion:

Q: Express z 14/2(cos135 + isin 135) to it rectangular form.

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Q: tan 0 de equals to : 1+sece In |1+tane|+c In |1+sece|+c O (tane)^2/2+c -In |1+cose|+c

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Q: Integrate sin" uelog(cosu) . Where n=666

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Q: Q3-Prove that (cos303cos³ 0-3cos 0 sin? 0)

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Q: Evaluate the indefinite integral sin (2)cos"(2)dz 4

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Q: S Show that L(cos² 3t – sin² 3t)= 82+36

A: Using Laplace transform,

Q: Show thatI cos ve (-1/4s)

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Q: Q18 *: If sinhx 3. then x = 4. In 2 %3D True False

A: Given: If sinhx=34 then x=ln2

Q: ... at verifies the identity. OC. B. sin 9x cos 7x - cos 9x sin 7x = sin (9x – 7x) = sin 2x sin 9x…

A: Given query is to find the correct option to prove the identity.

Q: Q4:B/Simplify [cos 20-i sin2018 [cos 30+ i sin30 1² [cos 40+ i sin40 ]³[cos 20-i sin2015 using De…

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Q: 1. If z = sin2+In^, find the value of x- +y X

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Q: 10. Show that L(cos- 3t – sin“ 3t)= 36 s2+36

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Q: E prove that - Cotx + C %3D 2 |- Cos?x +Sinx

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Q: what is Selution of DE (D-20)Y=ê Sinx When Sotved using the meth ed of undetermind

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Q: Find the first 3 Zerms o Sinx et a =?

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Q: Compute / / sin(x²) !! dr dy.

A: The double integrals can be solved by solving the inner integral first followed by the outer…

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Q: a) By using convolution theorem, show that 1 (sin 3t – 3t cos 3t). 54 1 L-1 (s² + 9)2

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Q: 3 ven sin(0) = for <<m << then cos(

A: Topic:- trigonometry

Q: Integrate sin" uelor (cosu) . Where n=540

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Q: Find the first approximation to the root of the equation xe" – cosx =0 using Regular-Falsi method…

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Q: Q4:B/Simplify [cos 20-i sin20][cos 30+ i sin301² [cos 40+ i sin40 1³[cos 20-i sin2015 using De…

A: The given expression,      cos 2θ-isin 2θ8cos 3θ+isin 3θ2cos 4θ+isin 4θ3cos 2θ-isin 2θ5 De Moivre's…

Q: The integral So (cos(3x))² sin(3x)dx under the change of variable u = cos3x becomes - ov 29 9/29 u?…

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Q: dy Find if y = 5x² sin4x dr' O None -20x? cos4x – 10xsin4x 20x? cos4x + 10xsin4x O 10x? cos4x +…

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Q: d. Show that sin 8x + sin 4x cos8x-cos4x = -cot(2x)

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Q: 7. B- Show that: (1) lime-0 tan 8 (2) tan 0 sec20 =D1 %3D do

A: Solve

Q: 9-10.j Show that sin20 2tane %3D 1+tan20

A: We will prove the trigonometric formula.

Q: 3) z = sin(ej³) + sinh(5230°)

A: We have evaluate the given complex number z=sinej3+sinh5∠30°

Q: Q4:B/Simplify [cos 20-i sin20][cos 30+ i sin3012 [cos 40+ i sin40]³[cos 20-i sin2015 using De…

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Q: Evaluate the integral: 3 X sin ³ COS 3 3 X col 3

A: Solved below.

Q: 1 Use the definition of the hyperbolic functions to prove the identity 1– - = tanh?(2x) cosh?(2x)

A: Explanation of the answer is as follows

Q: S cos (2x) sin* (2x)dx a.

A: Solution: The objective is to evaluate the integral

Q: Q4:B/Simplify [cos 20-i sin20][cos 30+ i sin301² [cos 40+ i sin40³[cos 20-i sin2015 using De…

A: Formula Used-  De Moivre's theorem: cosθ+isinθn=cos nθ+isin nθ cos mθ+isin mθcos nθ+isin nθ=cos…

Q: 12. Write an éxpression that gives all sölutions to the equation. COS X - SIn x 3= 2.

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Q: Use the addition formulas to deriv TT 31. cos(x - sin x 2

A: Prove that cos( x  - π/2 ) = sinx Here we use general formula : cos( A - B ) = cosA×cosB + sinA×…

Q: noitutitaduz ontemonoghtanie sin' x dxsldsinsvlenigito adi to amal cos x

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Q: e). Prove that Sin3A+sinA 25in2A -COSA

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Q: Let fla)= é cosx, s** %3D Express your answers in exact form.

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Q: "+25y 4r sin(51) – 2e" cos(5t)

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Q: b) Is S cos4xV2 – sin4x dx (2 – sin4x)³ + C true or false? show me

A: this is false because

Q: Differentiate implicitly to find 04 0-3 O 3 3 cos(y+z) 4 cos(y+z) Əz Əy 2 given 4x + sin(3y+z).

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Fundamentals of Trigonometric Identities

Trigonometric Identities are the equalities that involve trigonometry functions and hold for all the values of variables given in the equation.