3. [cos 6° + i sin 6°] 30 = COS + i sin %3D

Q: 16) If Sin A = where 0 < A <; 2 12 Cos B = where 13 < B < 2n 2 then find the value of ... Cos 2B Sin…

A:

Q: √3+2 px/3 ² √²³ (2² 10 (2 cos 0 - 3 sin 30) de dr

A:

Q: 4. Solve the following equations on the interval 0 < 0 < 27 3 cos 0 + 3 = 2 sin² 0 а. b. sin (20) +…

A: As given expressions and intervals is 0≤θ&lt;2π a)  3cosθ+3=2sin2θ 3cosθ+3-2sin2θ=0 Consider…

Q: 1) Compare the formulas for Sin(A+B) and Sin(A-B) State Sin(A+B)= !! State Sin(A-B)= How are they…

A:

Q: 12. Given 0 <0 < 2x, solve 2 cos? 0+3 sin 0 = 3. %3D ○ 등, 똥 ) 플, 풍, 풍 11T ○ 풍,풍 ○ 들, 등, 똥

A:

Q: 5. a. Find all solutions for the following trig. equations. sin (2x)=√√3 cos x b. 2 cos²x2 sin² x +…

A: sin2x=3cosx

Q: 5. Find all solutions to 1+ sin 3x = (0.25x) such that xE[0,1] cos

A: We need to find all the solutions of 1+sin (3x)=cos(0.25x), x∈[0,π].

Q: 3- Represent in the form of x+ iy a) V8 (cos + i sin m) b) 6 (cos 7 + i sin7)

A:

Q: 1. Determine solutions to sin 2x = , xE [0,2x] 2x sin () accurate to 2 decimal places. 2x 0.73 X0.36…

A:

Q: 16. Scos cos 0 cos (sin 0) de

A:

Q: Express the number 2/3 – 3i in the form R(cos(0) +i sin(0)) = Re", where R> 0 and -7 < 0 <T. NOTE:…

A:

Q: 1 OP 1- sin 0+cos 0

A: Given integral is: I=∫11-sin θ+cos θdθ

Q: QUESTION 2 27 元 +icos 9. TC sin 9 1-i 0-i 0 +i 1+ i Windowsi

A:

Q: Question 15 If e/2i =sin2 then z = - 2i In(sin2) + 4kT - 2 In(sin2) + 4kT - 2i In(sin2) – 4kT 2i…

A:

Q: 41- 1 ST 5* x² cos cyldy dz dx

A:

Q: 2. Given 0 <0 < 2n, what are the extraneous solutions for the equation cos 0 cot 0 = 3 – 3 sin 0?

A: Put value in function if LHS is not equal to RHS then extraneous solution

Q: 7 sin(2t) + 4 cos(t) = 0 %3D

A:

Q: 2. c=² (cos 0 - i sin 0) B e(cos 20 + i sin 20) C Cos 20 – i sin 20 e² (cos 0 – isin 0)

A: We will use the following Identity

Q: 4 TC 4) Find cos- given tan 0 2. where 0 <0 <- %3D 3.

A:

Q: 9. cos (21) di 10. 11. sin'x cos's de 12.

A:

Q: 1. Eliminate the arbitrary constants on the given equation: -= C, cos 3r + C2 sin 3x

A: Elimination of the arbitration constants

Q: - and cos 0 > 0; f ind tan 0. 2 sin 0 = 2/3 (A 3 (3 B 3 -1 /3 D 3

A: As we know from the Pythagorean theorem, sin2θ+cos2θ=1 Given,  sinθ=-12

Q: 9 Find 0 if 0<0 < 2n and: d sin 0 = 1 h cos? 0 = i tan 0: i tan? 0 = 3

A: To find θ if 0 ≤ θ ≤ 2π  sin θ = 1cos2 θ = 12tan θ = -13tan2 θ = 3

Q: Express the number 7/3 – 7i in the form R(cos(0) + i sin(0)) = Re", where R>0 and -n < 0 < T. NOTE:…

A: Given complex number is 73-7i Let 73-7i=Rcosθ+isinθ                       . . . (1) where R&gt;0 and…

Q: 1 -³ e"/ cos? e ,? dr sin@de ý do = x 32na X = ?

A:

Q: -2п a) cos 3 b) cot 45° 3 с) у%3D sin-1 /2 d) y = arccos 2.

A: Since you have posted multiple subparts, as per our policy we will answer first three subparts.…

Q: 3. cos 20 de –2p cos 8+p2 , p| < 1 [). 2np2

A:

Q: -37 :5³T sin³ (1) cos³ (1) dx 0 6

A:

Q: eс 0 %3D 12, sin Ө>0 a) sin (20) (b) cos (20) (c) sin (d) cos 2 (e) tan (20) (f) tan 2 - - 2

A:

Q: 2. Find all the exact solutions to following. a) sin x= 0 b) tan e = 3

A: If sin x =0 then x=nπ ; where, 'n' is any integer .If tan x =3 then x =nπ+π3 .

Q: 3π b) sin 20 + cosθ = 0,0€ [0, ). 2

A: We have to find the value of they ha in given region

Q: 15. The values of 0 that satisfy the equation 2 cos20 + cos 0 -1 =0,0<0 < 27, are 5 3. and 6 2 6. 57…

A:

Q: 5. Given 0 <0<2T, what are the extraneous solutions for the equation cos 0 cot 0 = 3-3 sin 0?

A:

Q: cos(2A) = ||+ ||+ 1 + sin(4A 2 1 + cos 24 1 + cos(44) 1 …. sin (44) cos (4A)

A:

Q: 10 de cos(0) – 1

A:

Q: 19. z = sin (20), y = cos 0;

A: We have to find

Q: + i sin 12 22 = 2| cos 12 5m + i sin 12 5. Let z1 = 4 cos and 12 Find z,2, and

A: Given complex numbers are in polar form. For multiplication of polar numbers, the magnitudes are…

Q: 1 +2s+5 e* cos 2t 1 sin 2t 2e' sin 4t e* sin 2t

A:

Q: Determine solutions to sin 2x , xE [0, 2x] 2x sin() %3D accurate to 2 decimal places. 2x 0.73 X0.36…

A: 1. According to question,Given equation,sin 2x = 23,x∈0, 2π

Q: 19. Given 0 <0 < 2T, solve 2 cos² 0 +3 sin 0 = 3. ○ 등, 똥 6 6 ○ , 풍,풍 ○ , 풍, 똥 5w 6 ○ 풍, 풍 11.

A:

Q: 2. Given 0 < 0 < 2n, solve sin? 0 – 5 cos 0 – 5 = 0. 2 2

A: The objective is to solve for theta value.

Q: 2π π14 cosφ SSS p' sinødp døde 0 0 0

A:

Q: 1. Determine solutions to sin 2x , xE [0, 2x) 2x = sin () 2x 0.73 %3D accurate to 2 decimal places.…

A:

Q: 5. Given 0 < 0 < 27, solve cos² 0 = 1 – sin 0. ○0, 플,T O 0, 플, , 플

A:

Q: Solve the following equations: 3cos(x)+1=cos(x)3cos⁡(x)+1=cos⁡(x), where x is in the interval…

A: 1. Given equation can be written as Now, value of cosine of an angle is negative in second and…

Q: 95х 3 5X dx b° sin CoS 6

A: The given integral is ∫03π5sin95x6cos35x6dx

Q: 2. xy' - y = y' cos 3x

A: Given the differential equation

Q: b. cos(3n) + 2 sin(3n)

A: Solution :-

Q: e20 A cos 20 + i sin 20 B (cos e +i sin 0) (cos 0 – i sin 6) B D cos 20 - i sin 20 2.

A:

Q: 3) Find the exact value of cos(a + B) under the given conditions. V5 0< a < sin ß = - -< B < 0 4 TC…

A: We know thatcosα+β=cosα cosβ-sinα sinβ