Question

Calculați sin²x,dacă ctg x=6.Mulțumesc anticipat!

Answer 1

$ctgx=6\Rightarrow (ctgx)^{2}=36\Rightarrow (\frac{\cos{x}}{\sin{x}})^2=36\Rightarrow \frac{(\cos{x})^{2}}{(\sin{x})^{2}}=\frac{36}{1} \Rightarrow \frac{(\cos{x})^{2}+(\sin{x})^{2}}{(\sin{x})^{2}}=\frac{37}{1}\Rightarrow \frac{1}{(\sin{x})^{2}}=\frac{37}{1}\Rightarrow <span>\sin{x}^{2}=\frac{1}{37}</span>$