Question

If in a triangle $ABC,\angle C={45}^o$ then value of ${\sin }^{2}A+{\sin }^{2}B$ lies in the interval

• A. $[0,1]$
• B. $(0,1)$
• C. $(\frac{1}{2},\frac{1+\sqrt{2}}{\sqrt{2}})$
• D. None of these

Answer 1

The correct option is C $(\frac{1}{2},\frac{1+\sqrt{2}}{\sqrt{2}})$