-1 cos z sec + C 2 O - sin-l cos z 2 +C 2 tan 1 cos z +C 2

Q: 8. S 3+9 tan² 0 sec² 0 de 0+tan3 0 9. [3 cos 0 e sin 0 do

A: Explanation of the answer is as follows

Q: (1+iV3)"+(1-i/3)" %3D 2n+1 Sin(- 3 2" Cos( ) 3. 2n+ Cos( 3. 2" Sin 3. (1-V3

A: Kindly go through the solution and let me know in case of any doubt or further clarification in the…

Q: Establish each identity.

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Q: 2 1. (2{cos z = (2(com(금)+i sin())" ti sin( - 3 3 1+v3i 2.

A: Solution 1: Given 5∠π42 Here…

Q: 4. cos*x Evaluate: sin' x( sin' 3/5 x+ cos³ x 3.

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Q: 3 sin x + 4 cos x +5**

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Q: Solve the differential equations

A: Concept to  be used - We will be solving this differential equation using Integrating factor.Given…

Q: 7. y = tan³ (2³) (A) 3x² sec(2³) tan(x³) (B)-3x2 sec(³) tan(x³) 8. y = cos(5x) (A) sin(5x) (B)-5…

A: Topic = Derivative As per guidelines, At a time only three sub-parts of a question can be answered.

Q: 04) Prove that 1- Cos + x) = sin x, 2- (sin x +cos x) sec x = sec2 x %3D

A: We have to prove that following trigonometric identity.

Q: cos 2x + 2 sin 2 x = _______

A: This question can be solved by applying the formula of cos2x cos2x=cos2x-sin2x

Q: Evaluate the integrals in Exercises

A: Hello. Since your question has multiple parts, we will solve first question for you. If you want…

Q: 4. sin(4x) = (4 sin(x) cos(x))(2(cos(x))² – 1) %3D

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Q: 4 sin 0 1 – 3 cos 0

A: Using Pythagorean identity we write the equation with sin, then solve for sin theta.

Q: ƒ cos(x³) x² dx. 1 ¹ cos4 + c 4 1 WIT 3 1 -| sin x³+ C 1 ·cosª + c 4 4 -3 sin x³+ C

A: Topic = Integration

Q: sin(1) dt Using an appropriate substitution, evaluate: [2+ cos(t)]* A +C 3[2+ cos(t)]3 3 B +C [2+…

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Q: 4 sin(x) cos(z) + 2 sin(z) – 2cos(z) – 1 = 0

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Q: Prove: 1) 2) sec 0 + tan(-0) cot - cos(0) = sec 0 tan 0 1 cos x + sin x sin y = sin 2 3y 2 COS (²)…

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Q: 3 sin(0 + 27) = 1 sin 0 cos O O - sin 0 2 sin 0 O sin 0 cos 0

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Q: -1 COS (cos (뚜)) COs 4 (sin (프)) -1 tan 2

A: We can make it easier for you

Q: 13. Prove. 1+ tan 0 a) cos 0+ sin 0 = sec 0 1 b) 1- sec 0 1+ sec 0 1 = -2 cot? 0 ,2 c) cos 20- cos…

A: Note : Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the…

Q: (2k + 1). True or False tan 0. cos 0 = sin 0 for any 0 + %3D

A: Given :            tan θ . cos θ = sin θ for any θ ≠ (2k + 1)π2.  To state true or fase.

Q: Compute 2° sin(x" + 2) dæ. O -7 cos(x" + 2) + C O 1 cos(x² + 2) + C O - cos(2" + 2) +C 1 cos(2" + 2)…

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Q: 2. * 1 Add File 3. * 1 y = tan x + =tan³x 3 4. * y = = cos x 1 Add File y 1 cos³x 3 1 cosx

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Q: 1) z = 6| cos 3T +i sin 2 +i sin 6 W = 12] COS 6 Find 2.

A: Hello. Since your question has multiple parts, we will solve first question for you. If you want…

Q: 3 sin(0) + 5 cos(0)

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Q: 1 sin x + 2 cos x + 3

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Q: 2. Prove the identity: cos (x-y)– cos (x+y) = 2 sinx siny

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Q: 8. 2 sin? x- V3sinx = 0 9. 3 csc(2x) +6 = 0 %3D 10. 2 cos? x = 2+ sinx %3D

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Q: BIARI dr x Cos (1-1)dt b) sin² x c) cos³ x d) - cos²x

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Q: 6. -3 sec e + 23 = 0 7. SINX CosX +1 %3D 3. SiN - Cos 20 9. tAN X taN X %3D

A: According to rule I have solved one question.

Q: 5) 2√√3 cos sin 0 - cos 0 = 2cos 0

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Q: sec x-1 sin x %3D secx+1 1+cos x

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Q: 1. у %3D х3 — х?cosx + 2xsic 2 sin x – 1 2. у%3D cosx+ 2 3. tan(xy) + xу %3D 0 4. у %3D хсоsх

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Q: 3 cos(0) sin(0) + 2 cos(0) = 0

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Q: sin 0 13. Prove that 1 - = Csc 0(1 + cos 0). Cos 0

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Q: π/2 0 sin³ cos Ode 0

A: This question is based on substitution method.

Q: 5 sin 0 – 4 cos 0 e of 5 sin 0 + 4 cos 0 is

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Q: Simplify sin “ z – cos“ æ O 2cos (x) - 1 O 2sin*(x) - 1 O 1+ 2sin*(x) O 1+ 2cos (x)

A: Using trigonometric identities.

Q: sin 2x sin x Cos 2x %3D Prove that 4 cos x - sec x Cos a

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Q: sin 0(3sin? 0+ 4cos? 0) = 3 cos 0 + cos³ 0 4. Prove that tan 0

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Q: Q3:A| Prove that:- cos x 1) 1+sin x 1+sin x = 2 sec x cos x tan? x 2) tan? x+1 = sin x

A: topic - trigonometric identities

Q: 1/2 sin? x + sec² x ) dx (1+ cosx)²

A: To find the integral of ∫0π/2sin2 x1+cos x2 + sec2 x dx Let us first simplify the integrand, sin2…

Q: z1 = 30 (cos 20° +i sin 20°) and z2 = 6 (cos 5° + i sin 5") %3D %3D ( cos +i sin %3D

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Q: 1. у%3 Sin 5x +1 2. y = cos 3. у 3 tan (7x-1)

A: 1st derivative of 1st 3 trigonometric function are :

Q: sin(k/n), lim is 1. cos(1) +5/3. 2. cos(1) + 1/3. 3. cos(1) +2/3 4. cos(1) - 1/3.

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Q: [cos 20-i sin20cos 30+ i sin301² [cos 40+ i sin40 ]³[cos 20-i sin2015 using De Moivre's theorem?

A: We have to solve given Questions.

Q: 1+sin A cos 2 sec u – cos µ = sin µ tan µ 4. + 2 sec 1 %3D cos A 1+sin A

A: We have to verify the given identities.

Q: () - VE ()- 1+cos 0 1-cos 0 Show that cos and sin (: using de Moivre's Theorem.

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Q: 2 + cos 0 = 1 + 2 sin² 0

A: The given equation is  2+cosθ=1+2sin2θ The given set of possible answers is  -π3,-π4,π6,π4,2π3,π,3π2…