2. Simplify 3 cos 12 2 cos +jsin- 12 + jsin Express answer in rectangular form. 4

Q: Find the general solution of 2sin^2 theta - sin theta-2=0

A:

Q: 6. Write [2(cos15°+isin15°)J in rectangular form. (c) 4+4i (d) 4/7 + 4i/7 (a) 3+3i (b) 3/2 + 3i/7

A: Distribute the exponent 3, then for the polar part 3 will multiply with the angles.

Q: Find the cartesian equation of the following: 6 1. r = 3-sin 0 2. r2 cos(20) = 4 %3D 9. 3. 4 sin(20)…

A:

Q: In Exercises 23-26, find dr/do. 23. r- 4 - 0 sin ở 24. r- Osin 8 + cos 8 25. r- sec cse 8 26. r- (1+…

A: 23. r=4-θ2sinθ24. r=θsinθ+cosθ25. r=secθ cscθ

Q: Let z = 7 (cos (7π/9) + i sin (7π/9))  and w = 6 (cos (2π/3) + i sin (2π/3)).  If zw is expressed…

A: Introduction: A complex number has many different representations. These are the rectangular…

Q: b Please convert the rectangular coördinates (5 5) and (-2 -2/3) to polar cOörd

A:

Q: Find all solutions to 10 cos2 r-13 cos T = -4 sec2 r+4 tan? r on 0, 27.

A:

Q: Solve ax? cos xcos 2y дхду

A:

Q: B)Convert r = √2 cos (0-) to cartesian.

A: we need to convert polar coordinate into cartesian.

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

A:

Q: Let z be a complex number. Then the solution(s) of sinhz+coshz=1/e is (are)

A: The posted question has multiple questions but according to guidelines we will solve the first…

Q: 3Tt ) Determine; [cos (4t +) 4

A: solution given below..

Q: θ=−25π/6θ, then sin(θ) =    cos(θ) =

A:

Q: The term 0.5(1-cos2x) is equal to

A: Given,          The term is 0.51-cos2x .

Q: 0 12 cos 90°

A: 1) cos90 2)tan135

Q: B)Convert r = √2 cos(0-) to cartesian.

A:

Q: Express in the form a + bi where a and b are real numbers.

A: To express: The expression 3cos3π2+isin3π2 in the form of a+ib. Given: The expression is…

Q: 1. Simplify (cos(4L25°) – tanh (0.3 + j0.7) cosh (In (3 + j5)(3+j5)) and write your final answer in…

A: Given expression is coshcos4∠25°-tanh0.3+j0.7ln3+j53+j5

Q: Solve z-(21TI)2 Ti liti) -0 Expoess the solut ibns in Theia taigrometric

A: Here, we need to solve z2-2i+1z+ii+1=0. To avoid complication, we will substitute z=x+yi.

Q: 2. (i) Assuming that cos 72° = (V5 – 1)/4, deduce that cos 36° = (V5+ 1)/4. (ii) Solve the…

A:

Q: i. Find [2(cos120° + jsin120°)]5

A: # we are entitled to solve one question at a time, please resubmit the other question if you wish to…

Q: 5 Solve, write your answer in a + bi form. 3 (cos () + i sin ()I 2

A: We have to find the a+ib form.   According to our guidelines we can solve only one question so…

Q: Determine the value of R: 30 R2 = (28.935)² + [R + R sec(- 2 30 – 1)]² – [2(28.935)(R+R sec(- 1)) co…

A: Given equation is:

Q: Express as a sum or difference.5 cos u cos 5u

A: 5cosucos 5u

Q: Given 0 3 6 증, 똥 6 ○ 등, , 폴, 똥 3 > 2 2 2 > 3

A: Using the trigonometric identity, it can be written that .

Q: State whether the following statement is true or false. Explain. + i sin 4 2 cos - + i sin 4 = 10|…

A:

Q: What is the cofunction of the complement of cos 22 o?   a. cos 22o   b. sin 68o   c. sin 22o   d.…

A: Cofunction of cosine is sine angle. Complementary means if we add both angles we will get 90 degrees…

Q: show that the equation cos2x(tan2 2x+ 3)+3=0 can be expressed as  2cos2 2x + 3cos2x+1=0

A: show that the equation cos2x(tan2 2x+ 3)+3=0 can be expressed as  2cos2 2x + 3cos2x+1=0

Q: Express in Rectangular Form: a. 6(cos 180°+ i sin 180°) b. 3(cos 232° + i sin 232°)

A:

Q: j sin 125 cos 11 1. Simplify 47T . Express answer in rectangular form. 47 +j sin cos

A:

Q: Solve the equation for æ if 0 < z < 27. Separate your answers with commas. 2 cos(2x) – 6 sin z = 4…

A: Simplification

Q: Find the general solution of у" -у - бу %3D 6х3 + 26 sin 2x

A:

Q: 3t 9. cos()= ST. 10. sin(

A:

Q: Use an addition or subraction formula to find the solutions of the equations that are in the…

A: sin7tcos4t=sin4tcos7t On simplification, we get sin7tcos4t-sin4tcos7t=0⇒sin7t-4t=0…

Q: Solve for 0 <0 < 2n. cos 30 + cos 40 = 0. Separate your answers with commas. |0 =

A: Recall the trigonometric identities. 1. sin A+cos B=2sinA+B2cosA-B22. sin A-cos B=2cosA+B2sinA-B23.…

Q: 2. Convert r = -8 cos 0 into Cartesian equation.

A: r2=x2+y2 x= r cos theta y= r sin theta

Q: 57 then If 0 = sin(0) = %3D cos(0) = %3D

A: Given θ=5π6

Q: V125 cos- jsin 11 - | 11 Simplify . Express answer in rectangular form. 5 cos 47 + j sin 11 11

A: Rectangular form of the complex number

Q: Find the general solution: y" + 5y' + 6y = 4et cos2t + sin2t

A:

Q: 2. Ifsin 60° , and cos B find ß. Explain. %3D 2 2

A:

Q: 2 sin x –1 2. у 3D cosx+ 2

A: Topic = Derivative

Q: Express the number –5 in the form R(cos(0) + i sin(0)) = Re where R > 0 and 0 < 0 < 27. Reio NOTE:…

A:

Q: Find all angles, 0° <0 < 360°, that satisfy the equation below. 4cos (20) – 3cos (8) +4 = -cos (0) +…

A:

Q: Let z be a complex number. Then the solution(s) of sinhz+coshz=1/e is (are) *

A: I have provided solution in step2.

Q: By sum or difference identity, the exact value of cos 105° is: 2 + 6 V2 - V6 4 + 4 4 V3+ V6 4 2.

A:

Q: 2 sin 8 then I- cas o +SinD is also y. ノ I+ Cos 9 + sing I+sing

A:

Q: (b) Use de Moivre's theorem to show that cos 50 = 16 cos 0- 20 cos30+5cos 0. Hence, solve 32x5 40 +…

A:

Q: se trig equations into general form: 1. y = cos (1/2x

A: The given trigonometric equations are  1. y = cos (1/2x + 1/3) 2. y = cos (2x + 1/3)

Q: What is cos(30°)? 30 2 V3 V[? cos(30°) COS Enter

A: We know that cos (theta)=opposite side/hypotenuse

Q: 7. J cos60 de.

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