Solve (1+cosx)tanx/2 = sinx

Nann

Nann

Answered question

2020-12-30

Solve (1+cosx)tanx2=sinx

Answer & Explanation

SoosteethicU

SoosteethicU

Skilled2020-12-31Added 102 answers

cos(x)=2(cos(x2))21,so cos(x)+1=2(cos(x2))2,
tan(x2)=sin(x2)cos(x2),
sin(x)=2sin(x2)cos(x2).
Therefore, the expression on the left is: 2sin(x2)cos(x2)=sin(x).

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