Question

Tính sin^2(15 độ)+ sin^2(25 độ) + sin^2(35 độ) + sin^2(45 độ) + sin^2(55 độ)+ sin^2(65 độ)+ sin^2(75 độ)

Answer 1

\(A=sin^215^o+sin^225^o+sin^235^o+sin^245^o+sin^255^o+sin^265^o+sin^275^o\)

\(A=cos^275^o+cos^265^o+cos^255^o+cos^245^o+sin^255^o+sin^265^o+sin^275^o\)

\(A=\left(cos^275^o+sin^275^o\right)+\left(cos^265^o+sin^265^0\right)+\left(cos^255^o+sin^255^o\right)+cos^245^o\)

\(A=1+1+1+0,5\)

\(A=3,5\)