In a ΔABC, DE || BC, where D is a point on AB and E is a point on AC. If DE divides the area of ΔABC into two equal parts, then DB:AB is equal to:
\(\sqrt{2}\) : \(\sqrt{3}\)
\(\sqrt{2}\) : \(\sqrt{2}\) + 1
\(\sqrt{2}\) + 1 : \(\sqrt{2}\)
\(\sqrt{2}\) - 1 : \(\sqrt{2}\)
In a right-angle triangle, the hypotenuse is 5 cm and the base is 3 cm. If one angle is θ, then tan θ is equal to:
\( \frac{4}{3} \)
\( \frac{5}{3} \)
\( \frac{3}{5} \)
\( \frac{5}{4} \)
Find the value of
\(
\frac{\cos 41}{\sin 49} + \frac{\sin 51}{\cos 39}
\)