Question

If √ = ° < ≤ °; : [3] √ + − ​

Answer 1

Answer:

Answer

Given sin(A+B)=1

⇒sin(A+B)=sin90

o

(∵sin90

o =1)⇒A+B=90 o …………(1)

Again, cos(A−B)= 3 /2⇒cos(A−B)=cos30 o (∵cos30 o = 3 /2)⇒A−B=30 o………(2)

Adding (1)+(2)

A+B+A−B=90

o +30 o⇒2A=120 o⇒A=120/2

⇒A=60 oPutting A=60 o in equation-(2) we getA−B=30 o⇒60o −B=30o⇒60o −30o=B⇒B=30 o∴A=60 o ;B=30 o .

Answer 2

Answer:

find a cubic root (or generally root of degree

find a cubic root (or generally root of degree n

find a cubic root (or generally root of degree n ) you have to use de'Moivre's formula:

From tis formula you can see, that every complex number has

From tis formula you can see, that every complex number has n

From tis formula you can see, that every complex number has n roots of degree

From tis formula you can see, that every complex number has n roots of degree n

From tis formula you can see, that every complex number has n roots of degree n

From tis formula you can see, that every complex number has n roots of degree n So to calculate root of a complex number you first have to write the number in a trigonometric form