Convert the complex number z =(i-1 )/[(1/2)+(√3/2)i] in polar form. My doubt here is that how we can we identify that cos theta equal to (√3-1)/2 √2 and sin theta=(√3+1)/2√2 is which angle ,(that is the value of theta ) ???

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Solution

every values of sin and cos will be given like the above
may be defference or sum of basic angles such as 30 45 60 and 90
by using the trigonometric equations

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