Prove that sin⁡(x)2+sin2(x2)tan⁡(x2)→tan⁡(x2)

Betsy Rhone

Betsy Rhone

Answered

2021-12-31

Prove that sin(x)2+sin2(x2)tan(x2)tan(x2)

Answer & Explanation

Daniel Cormack

Daniel Cormack

Expert

2022-01-01Added 34 answers

Use sin(x)=2sin(x2)cos(x2) then we have
sinx2+sin2(x2)tan(x2)=sinx2cosx2cos2x2+sin2x2=1
=tanx2
chumants6g

chumants6g

Expert

2022-01-02Added 33 answers

Fairly obvious:
sin2x2tanx2=(1cos2x2)tanx2=tanx2cosx2sinx2=tanx2sinx2
Vasquez

Vasquez

Expert

2022-01-09Added 457 answers

With s:=sinx2,  c:=cosx2,  sinx=2sc and
122sc+s2sc=sc2+s3c=sc

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