Express 3 cis 133.8° in standard a + bi form.

Q: 10.28. Evaluate (a) Js/2(x) and (b) J-5/2(x) in terms of sines and cosines.

A: In the given question we have to evaluate the values of 1.J5/2(x)2.J-5/2(x)in terms of sine and…

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)…

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Q: Fill in each blank so that the resulting statement is true.

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Q: (1+i)·(10260°) (3–7i)+(9/120°) . Express your answer in rectangular form.

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Q: - . Write cos(i – 4) in the form of a + bi.

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Q: Find the general solution of the following equations without using a calculator 2sin 0 cos(30°-0)…

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Q: 18. Simplify: i9 + j21 + j2050 in form a + bi.

A: Complex number a+ib form

Q: Determine whether the positive or negative square root should be selected. 1+ cos 220" cos 110.0° =+…

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Q: exp(exp(-in)) coS TT -1sin Tt -0.3679 - exp(cos Tu i sin Tt) 1 Sin 0.3679

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Q: by using the triangle method, Show that cos (21an n+1 %3D n2+1 n-1

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Q: 2. Use the Chakravala and then Brahmagupta's identity to find two solutions, other than (1,0), to…

A: Chakravala algorithm is one of the crowing achievement of Indian mathematicians. An algorithm which…

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

A: we need to convert polar coordinate into cartesian.

Q: Find the four fourth roots of  z = 81(cos 4pi/3 + i sin 4pi/3) w0=  w1= w2= w3= .  Write each…

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Q: Find zw and . Write each answer in polar form and in exponential form. 2т z = COs 3 +i sin 27 and 57…

A: Given:z=cos2π3+isin2π3w=cos5π9+i sin5π9zw=?zw=?

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

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Q: Assume that 0 ≤ θ < π/2.

A: Given that

Q: 20. What is sin 17t? а. 1 b. -1 С. О d. undefined

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Q: The quotient of z1 =6 cis (2/3); z2 =2 cis (1/6) in trigonometric form is;

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Q: d. Hence solve. cos 20-sin0=-2 for 0 ses360°

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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: Find the fourth roots of z= 16(cos 60 + i sin 60)

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Q: Find all possible solutions of cos(20) = 3sin 0 - 4. %3D

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Q: 1. Convert the ff. in cartesian form: (a) 2² = 4+47² (b) p = sin osin

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Q: | 2+4i -3 il %3D

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: 1.Use De Moivre's Theorem to solve the following. i. I. Find [2(cos120° + jsin120°)]5 10 ii. Find…

A: Hello, thanks for your question but according to our policy, I am answering the first three…

Q: Find the four fourth roots of z = 81 (cos 4? /3 + i sin 4? /3) . Write each root in standard form.

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Q: Solve the following differentral equation =2メと 11

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Q: Express the following in polar form): (iii) (cos 300° + i sin 30"). 2 i) sin 60° + i cos 60° (ii)…

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Q: | 24 a° cos(2) dæ =, %3D

A: Given: I=∫24x3cosxdx For evaluating given integral, we use integral by parts theorem According to…

Q: Find the points of intersection of r = 1 andr = 1+2 cos 0.

A: General solution of cosθ = cosα is                           θ = 2nπ ±α

Q: Find the three cube roots of 8(cos 264° +j sin 264") and state which of them is the principal cube…

A: Given - 8cos 264° + jsin 264° To find - Find the three cube roots of 8cos 264° + jsin 264° and state…

Q: 4. Simplify 3- 2i / 1+i into the form a + bi 5. If 2 - a – 5i / (1 – bi) = 3 – 5i, find a and b

A: By Bartleby policy I have to solve only first one as these 2 are unrelated problems.These are…

Q: The expression 5cos 6B – 5sin 6B is equal to A. cos 36B C. cos 12B B. 5cos 12B D. 5cos 3B

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Q: Find the four fourth roots of z = 81 ( cos 4pi/3 + isin 4pi/3 ). write each root in standard form

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Q: 6. Find cos(u + u) and simplify as much as possible.

A: Find cosu+u and simplify as much as possible.

Q: Let z1 = 4(cos 80° + i sin 80°) and z2 = 6(cos 145° + i sin 145°). Find the product z1z2 and write…

A: cos80° = 0.17sin80° = 0.98cos145° = -0.82sin145° = 0.57

Q: Find u to the nearest tenth of a degree if 0 <= u < 360°,        cos u = 0.2351

A: cos u = 0.2351 cos is positive in first and fourth quadrant. So if x is the angle in first quadrant,…

Q: A) 16 sin37 = %3D B) cos53 16

A: Given: To find the correct equation.

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: Multiply (3 cis 70°)(2 cis 110°) and express the answer in rectangular form. Give an exact answer.

A: Consider the given expression and multiply it by converting to exponential form,

Q: Compute the exact value of 13 T sin 12

A: Given query is to find the exact value of given sin function.

Q: TT 13. (а) сos 3 (c) sin (b) sec 3

A: Question 13,Part a,Given,           cos-π3

Q: 4. [12] z =12(cos150° +isin 150°) and w=14(cos 240° +i sin 240°) а. Find zw with 0<0<360° b. Change…

A: (a) Consider the given function as z='12cos150+isin150 and w=14cos240+isin240

Q: Which equation should JK sin 24°: 28 %3D JK cos 24° 28 28

A: We know ,in a right angled triangle, the trigonometric ratio of sine function is given by:…

Q: 29 20 21 Find sin A in simplest form.

A: Given: To Find: sin A=?

Q: Calculate ( 3 + 2i)³. Give your answer in a + bi form Question Help: Video 1 Video 2

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Q: Show that w = 2(cos 15° + i sin 15°) is a fourth root of z = 8 + 8iy3 by raising w to the fourth…

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Q: 3 T Compute sin 4

A: Let the given sin value be y -y = sin-3π4y = -sin3π4                                 sin(-x) =…