B 18. Given the coordinates (-1,423) (-1,0) (-√2,√2) 135⁰ 37 3 (-3,-1) 150° 4 5TT 6 180° π 210 7π 6 120° 5T 4, 225 4T 3 (-2,-2) 240 (-1-3) 2π 2 2 TL 2 (0,1) 90° 37 2 270⁰ find the measure of the angle in radians. Use the unit circle shown below. (0,-1) 60 T 3/π 4 (1,3) 45 (122) 30° 5T 3 T 0,2π 117 6 7π 4 315 (1) 0° 330% (1,0) (4-1) 300 (2,-2) (1-√3)

Q: Find the value of q such that (3 + 4i)(1+2i) (1 + 3i) q= = q(1 + i).

A: To find the value of q such that,  3+4i1+2i1+3i=q1+i

Q: If v = 31 - 5j and w = - 7i+ 4j, find 3v - 4w. О А. 37i- 31ј О В. 171-10] О с. - 4i-j O D. - 19i + j

A:

Q: What is the inverse of the equation y-3r - 27 B) y-x C) y-' D y-2r-3 A) y-3x + 2 C

A: Consider the equation: y = 3x - 2

Q: b) By using De Moivre theorem, calculate in the form of a + bi: 4. i) (VZ – iv2)* | ii) (1– i)6

A: Given (2-i2)4 &   (1-i)6

Q: Simplify (8j3 - 52 - 5) - (6j - 12j2 + 8j – 7). O 213 - 172 + 8j - 12 O 2j? + 7j2 + 8j – 12 O 2 -…

A:

Q: If A = -4 + 2i and B = 3 – 5i, in which quadrant does A + 2B lie?

A:

Q: : Find w = a + bi = √z where a and b are real numbers. - -M 3 -8+6i ☐, w = ☐

A: Hence, The final answer is  w=2.99−i,w=−2.99+iExplanation:

Q: [1 2] 1: Let A = 3 2, and B = 10 [2 0 1 0 2 -1 a) Find A B b) Find B. A c) Find AT +3B

A: Explanation of the answer is as follows

Q: Find w = a + bi = √z where a and b are real numbers. 24+10i W = W =

A: w = 5 + i  ,  w = -5 - i Explanation: Or  Thank you 😊

Q: Calculate the value of (1 + 2i)- and then use this value to find the roots of z - z + (1 - i) = 0.…

A: Expand to obtain the square of the given term and use quadratic formula to obtain the roots.