2 answers

5 cis(255°)
= 5(cos255° + i sin255) , note that 225 is (180 + 45)° , quadrant III
thus cos 225 = cos45 = √2/2
and sin 225 = sin45 = √2/2
5cis225
= 5(√2/2  √2/2 i)
= 5√2/2  5√2/2 i
for the second, 11π/6 is a multiple of π/6 , (or 30°)
so follow my procedure 👍
 👎
 ℹ️
 🚩

hmmm. is 255 a typo for 225? Probably.
 👍
 👎
 ℹ️
 🚩
Answer this Question
Related Questions

alegebra
1. What is the factored form of 4x 2 + 12x + 5? (1 point) (2x + 4)(2x + 3) (4x + 5)(x + 1) (2x + 1)(2x + 5) (4x + 1)(x + 5) 2. What is the factored form of 2x 2 + x – 3? (1 point) (2x + 3)(x – 1) (2x + 1)(x – 3) (2x – 3)(x + 1) (2x – 1)(x + 3) 3.

Math! Please Help!
1. What is the simplified form of (–3x^3y^2)(5xy^–1)? I think it is 15x^4y 2. What is the simplified form of –9m^–2n^5 × 2m^–3n^–6? I have no idea on this one. :/ 3. A rectangular pasture has a fence around the perimeter. The length of the

math
Ex. 120 m of fencing is to be used to form three sides of a rectangular enclosure , the fourth side being an existing wall . Find the maximum possible area of the enclosure

mathematics
How many times GREATER is the 2 in the thousands place than the 2 in the hundreds place in the the number 402,255?

Math
Which angles are coterminal with pi/6? Chose all answers that are correct. A. 5pi/6 B.13pi/6 C.5pi/6 D.11pi/6 I think its A and C

chem
The minimum energy required to change the conformation of 11cisretinal within the eye is about 164kJ/mol. Calculate the longest wavelenght visible to the human eye

Calculus
Consider the curve given by x^ 2 +sin(xy)+3y^ 2 =C, where Cis a constant. The point (1, 1) lies on this curve. Use the tangent line approximation to approximate the ycoordinate when x = 1.01 .

Organic Chemistry
Which of the following compounds can in principle be isolated in optically active form at room temperature? Select all valid choices. a. trans1,3dimethylcyclohexane b. cis1ethyl3methylcyclohexane c. 1,1dimethylcyclohexane d.

Chemistry
1.Calculate the amount(in mol) in 8.80 g of carbon dioxide,Co2 2.Calculate the number of chlorine atoms in a 6.0 mg sample of anticancer drug cisplatin, cisdiamminedichloroplatinium(II),Pt(NH3)2Cl2

Chemistry
The equilibrium constant, Kp, equals 3.40 for the isomerization reaction: cis2butene trans2butene. If a flask initially contains 0.250 atm of cis2butene and 0.145 atm of trans2butene, what is the equilibrium pressure of each gas?

math
A set is known to have 255 proper subsets. How many distinct elements does this set have?

Stress & Strain (Help Please)
A tie bar is made of a material having a tensile strength of 231 MPa and has to carry a load of 255 kN. What id the diameter of the bar if a factor of safety of 7 is applied? ANS = 99.2 mm Cannot figure out how to get the answer. Need help please. Thank

math
which form of a quadratic funtion is easiest to use to find the maximum or minimum value of the function? satandard form factored form vertex form any form ***********

Math
A satellite will be released into an orbit of more than 400 miles above the earth. the rocket is carrying it is currently 255 miles above earth write and solve an inequality to show how much higher the rocket must climb before it releases the satellite

Trigonometry
Find the value of x. Round to the nearest tenth. The diagram is not drawn to scale. The adjacent is 12cm wide and the angle of the hypotenuse is at 35 degrees. The opposite is x. I'm posting this here because I want to know what I did wrong regarding my

Math
A rectangular section of wilderness will be set aside as a new wildlife refuge. Its dimensions are 5 x 105meters by 4 x104 meters. Find the area of the land in square meters. Make sure your answer is in correct scientific notation form

maths
How many elements does A contain if it has 255 proper subsets?

Math
Suppose you buy a home and finance $255,000 at $2,293.17 per month for 30 years. What is the amount of interest paid? (Round your answer to the nearest cent.)

Math
3. find the four angles that define the fourth root of z1=1+ sqrt3*i z = 2 * (1/2 + i * sqrt(3)/2) z = 2 * (cos(pi/3 + 2pi * k) + i * sin(pi/3 + 2pi * k)) z = 2 * (cos((pi/3) * (1 + 6k)) + i * sin((pi/3) * (1 + 6k))) z^(1/4) = 2^(1/4) * (cos((pi/12) * (1 +

GEOMETRY
What is the value of W? A triangle with hypotenuse W and with a leg with length 7sqrt3 and angles measuring 90 degrees and 30 degrees. 7 3.5 7 sqrt3 14
Still need help?
You can ask a new question or browse existing questions.