If tanθ = \( \frac{7}{8} \), then evaluate \(\frac{(1+\sin\theta)(1-\sin\theta)}{(1+\cos\theta)(1-\cos\theta)(\cot\theta)}\).
\( \frac{8}{7} \)
\( \frac{7}{8} \)
\( \frac{49}{64} \)
\( \frac{64}{49} \)
The sides of a rectangular field are 169 m and 154 m long. Its area is equal to the area of a circular field. What is the circumference (in m) of the circular field?
Take π = \( \frac{22}{7} \)
Simplify: \(\sqrt[6]{729}\) +\(\sqrt[4]{65536}\)+ \(\sqrt[3]{5832}\) + \(\sqrt{1764}\)