Nagwa uses cookies to ensure you get the best experience on our website. Learn more about our Privacy Policy.
Please verify your account before proceeding.
Q1:
Find the trigonometric form of the complex number π represented by the given Argand diagram.
Q2:
Given that π§ = 1 1 and π§ = ( 3 π + π 3 π ) 2 2 c o s s i n , find the trigonometric form of π§ π§ 1 2 .
Q3:
Express 1 2 ο οΌ 5 π 6 ο + π οΌ 5 π 6 ο ο c o s s i n in algebraic form.
Q4:
Find the modulus of the complex number 1 + π .
Find the argument of the complex number 1 + π .
Hence, write the complex number 1 + π in polar form.
Q5:
Consider the diagram.
Which of the following correctly describes the relationship between π , π , and π ?
Which of the following correctly describes the relationship between π , π , and π ?
Hence, express π§ in terms of π and π .
Q6:
The Argand diagram shows the complex number π§ .
Write π§ in rectangular form.
Convert π§ to polar form, rounding the argument to two decimal places.
Q7:
Express the complex number π = 4 π in trigonometric form.
Q8:
Given that π = β 3 + π , determine the trigonometric form of π .
Q9:
If π = π ( π + π π ) c o s s i n , what is 1 π ?
Q10:
Simplify 6 β 6 π β 2 π , giving your answer in both algebraic and trigonometric form.
Q11:
Simplify β 5 + 5 β 3 π β β 3 β π , giving your answer in both algebraic and trigonometric form.
Q12:
Given that π β 2 = ( π + 2 ) π , determine the trigonometric form of the complex number π .
Q13:
Given that π = ( 6 π β 6 ) ( 4 + 3 π ) ( 1 + 2 π ) 2 , express the complex number π in the form of π₯ + π¦ π , and then determine its trigonometric form.
Q14:
Determine, in trigonometric form, the square roots of ο½ β 5 β 5 π β 5 + 5 π ο 9 .
Q15:
Simplify β 7 + 4 β 3 + ο» β 7 β 3 β 4 ο π 7 + 4 π , giving your answer in both algebraic and trigonometric form.
Q16:
Given that | π | = 9 and the argument of π is π = π 6 , find π , giving your answer in trigonometric form.
Q17:
Given that | π | = 8 and the argument of π is π = 3 6 0 β , find π , giving your answer in trigonometric form.
Q18:
Given that | π | = 5 and the argument of π is π = 2 π + 2 π π , where π β β€ , find π , giving your answer in trigonometric form.
Q19:
Given that | π | = 3 and the argument of π is π = π 3 , find π , giving your answer in algebraic form.
Q20:
Given that | π | = 1 2 and the argument of π is π = 1 2 0 β , find π , giving your answer in algebraic form.
Q21:
Given that | π§ | = 5 and the argument of π§ is π = 2 7 0 β , find π§ , giving your answer in algebraic form.
Q22:
Given that π = 7 [ ( β 5 8 ) + π ( β 5 8 ) ] c o s s i n β β , determine the algebraic form of π , approximating the real and imaginary parts to the nearest two decimal places.
Q23:
Given that , find the principal argument of , where .
Q24:
Find c o s π 6 .
Find s i n π 6 .
Hence, express the complex number 1 0 ο» π 6 + π π 6 ο c o s s i n in rectangular form.
Q25:
Given that π§ = 1 3 ( 3 0 + π 3 0 ) c o s s i n β β , find 1 π§ .
Donβt have an account? Sign Up
