42 + i sin 12 cos 3

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

A: Here given equation is cos 2π/3 + i sin 2π/3 = cos 60° + i sin 60° = 1/2 + i 3/2

Q: Evaluate the following in the form of a + bi : (cos 30 + i sin 30 ) 4 A) -0.5 + 0.866i B В cos 120 +…

A:

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

A:

Q: Slove and restrict solutions to exact values in the intereval [0, 2 ?)   A.    2sinx-cos^2 x=2…

A: Given : The interval [0,2),   A.…

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: 10. Derive the formula for the cos(z), where z is a complex number.

A:

Q: Find the two square roots of z = 36(cos 50° + i sin 50°). Leave your answers in trigonometric form.…

A: Consider the given complex number z = 36(cos 50° + i sin 50°).

Q: 6. Use Euler's Formula to prove the following identities: eio terio cos O ei0 -e-i0 %3D and sin 0 =…

A: We have by Euler's formula, eiθ=cosθ+isinθ.....1e-iθ=cosθ-isinθ....2 Then adding equation (1) and…

Q: Find the four fourth roots of z = 16( cos 2 + i sin 2). Write each root in standard form. Wo = W1 =…

A: Given: z=16cos2π3+isin2π3 Rewriting the above complex no in exponential form, we get: z=16ei2π3 The…

Q: 2. Find the cartesian equation of the following: а. r = 3-sin e b. r? cos(20) = 4 9. r2 C. 4 sin(26)

A:

Q: Express the number –2 in the form R(cos(0) + i sin(0)) = Re where R> 0 and 0 ≤ 0 ≤ 2π. NOTE: Enter…

A:

Q: Find the quotient where z1 and z2 are given Z2 below. zi = 24 (cos(171°) + i sin(171°)) Z2 = 4…

A: z1=24(cos171°+isin171°)=24ei171°z2=4(cos51°+isin51°)=4ei51°

Q: Find the four fourth roots of z = 16( cos +i sin 12). Write each root in standard form. Wo = W1 = W2…

A: z=16cos2π3+isin2π3 For forth roots of z z14=16cos2π3+isin2π314 z=2cos2+nπ3+isin2+nπ3 Where n=0,1,2,3…

Q: Which of the following equations could not be used to find the value of x? 23.6° 12 30 66.4° O…

A:

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

A:

Q: valuate the following in the form of a + bi : (cos 30 + i sin 30 ) 4 (A) -0.5 + 0.866i B 4 cos 30 +…

A:

Q: Find the product of z1 & Z2, leave answer in trigonometric form: 235 (cos플 + isin) & z2 =: +i sin 3…

A: We know that for  z1 = r1 cos θ1 + i sin θ1  and  z2 = r2 cos θ2 + i sin θ2 z1·z2 = r1·r2 cosθ1+θ2 +…

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

A: To: Express in the form a + bi where a and b are real numbers 5(cosπ+i sinπ)

Q: b. Express the following quotient in the form a + bi. 2[cos 345° + i sin 345°] 5 [cos 120° + i sin…

A:

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

A:

Q: Evaluate and write your answer in a + bi form. [3(cos 58° + i sin 58°)]* = Round to two decimal…

A:

Q: Which of the following equations could not be used to find the value of x? 23.6° 12 30 66.4 O cos…

A:

Q: Find zı*z2 and zı/z2. Write your answers in rectangular form (a + ib). 3, = 2(c0s + i in + i sin 8 +…

A:

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

A: 20cos11π6+ i sin11π6

Q: PROVE THE GIVEN 2n sin? 5 sin? 3 (J5 - 1) 5 -1) 8. II

A:

Q: Evaluate by Wallis's Formula. Show the complete solution. S cos 30 de

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Q: Find only five of the following: 1-[t? cos at 2-(6 sin 2t – 5 cos 2t ) |

A: as per the guidelines of the company we need to solve the first 3 subparts of a question ,as the…

Q: Find all solutions to cos(80) – cos(20) = sin(50) on 0 <0 < 3 0 = 0, Give your answers as a list…

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

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Q: Find the four fourth roots of z = 256( cos 21 + i sin 3 Write each root in standard form. 3 Wo =…

A: The given question can be solved as shown in step2.

Q: Simplify the following expressions and express in the form a + bi. (2cos () + 21 sin (9) (a) (1]

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

Q: Express the number -9 in the form R(cos(0) + i sin(0)) = Re where R> 0 and 0 ≤ 0 ≤ 2TT. NOTE: Enter…

A: Exponential and Polar form

Q: Prove the following Sin? Z + CoS² z = 1

A: To prove that sin^2z+cos^2z=1

Q: (5.) Solve 2+y z³ cos z dz 3 -2+j

A:

Q: Find the four fourth roots of z = 81( cos 2 + i sin 2 ). Write each root in standard form. 3 3 Wo =…

A: Given that z=81 cos2π3+isin2π3. Obtain the fourth roots as follows. z14=8114 cos2π3+isin2π314=3…

Q: 10. L{ cos (8t + 2) } (entry # 71)

A: To find  L{cos (8t+2)} we shall use  the following formula  1.  cos (A+B)=cos (A) cos(B)-sin (A)…

Q: determine ω0, R, and δ so as to write the given expression in the form u = R cos (ω0t − δ). 1.u = 3…

A:

Q: Find the four fourth roots of z = 16( cos + i sin 3 Write each root in standard form. Wo = W1 = W2 =…

A: We will use the De-Moivre's theorem to find out the 4th roots of the complex number.

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: 3. Express M =cos 3A+cos A and N = sin 3A+sin A as a product form. M = cot 2A. N Hence, show that

A: topic- trigonometry

Q: Find all values of z: z = 4(cos 90° + i sin 90°) for n=2

A:

Q: PROVE THE GIVEN 2n sin? (V5 - 1) sin? 3 8

A:

Q: Let z=x+iy be a complex number such that coshz+0. Then Re(tanhz) is equal to " sinhxcoshx…

A:

Q: Find the fifth roots: 2(cos () + i sin (#))

A: To find the fifth roots: 2cosπ4+i sinπ4

Q: G. Determine the value of B that will satisfy the following. a) sin (4B + 10°) = cos 6B b) sec (3ß –…

A: we have to determine the following

Q: Q 4: prove that * cos (a ± B) = cosa cos ß7 sin a sin B

A: Prove the following formula

Q: Express the following quotient in the form a + bi. 2[cos 345° + i sin 345°] 5 [cos 120° + i sin…

A: We will evaluate and find in a+ib form as shown below

Q: Find the quotient given: z = (cos 235° + i sin 235°) and w = = (cos 355° +i sin 355°) %3D A. Express…

A:

Q: Establish the following identity: (2 sin? 0 – 1)² sin* 0 – cos“ 0 -=1–2cos² 0 .

A:

Statements and Logic

Logic is the analysis of general patterns of thoughts without regard to any specific sense of context.