For n\inZ^{+},(1+\sin\theta+i\cos\theta)^n +(1+\sin\theta-i\cos\theta)^n=

Correct Answer is : 2n+1.cosn(π4−θ2)cos(nπ4−nθ2)

2^{n+1}.\cos^n(\pi/4-\theta/2)\cos({n\pi}/4-\theta/2)

2^{n+1}.\cos^n(\pi/4-\theta/2)\sin({n\pi}/4-\theta/2)

2^{n+1}.\cos^n(\pi/4-\theta/2)\cos({n\pi}/4-{n\theta}/2)

2^{n+1}.\cos^n(\pi/4-\theta/2)\sin({n\pi}/4-{n\theta}/2)

AP EAMCET Engineering 2018 Apr 23 Shift 2 Paper

Section: Mathematics

Question : 10 of 160

Marks: +1, -0

For n∈Z+,(1+sin‌θ+i‌cos‌θ)n +(1+sin‌θ−i‌cos‌θ)n=

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