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Khushboo Singh Grade: 12
        

  1. if a=cosθ+isinθ ,b=cosΦ+isinΦ ,c=cosψ+isinΨ and a⁄b+b/c+c/a=1 then cos(θ-Φ)+cos(Φ-ψ)+cos(ψ-θ) equals _________

  2. if e =cosθ+isinθ then e2micot-1p(pi+1/pi-1)equals

6 years ago

Answers : (1)

Gokul Joshi AskiitiansExpert-IITK
42 Points
										

Dear Khushboo,

You can write a=eθ, b=eΦ, c=eΨ


Now a/b+b/c+c/a = eθ-Φ+eΦ-Ψ+eΨ-θ = 1 (given). Taking the real part of both the sides you get cos(θ-Φ)+cos(Φ-ψ)+cos(ψ-θ)=1

Please feel free to post as many doubts on our discussion forum as you can.we will get you the answer and detailed  solution very  quickly. All the best.

Regards,
Askiitians Experts,
Gokul  Joshi

6 years ago
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