The value of \( \frac{5}{2} \) + \(\left(\frac{1}{1+\frac{3}{8}}\right)\) - \( \frac{5}{4} \) is
\( \frac{106}{59} \)
\( \frac{103}{66} \)
\( \frac{95}{69} \)
\( \frac{113}{72} \)
If cot²θ = \(\frac{1}{1-a^2}\), |a| < 1, and θ is an acute angle, then find the value of (secθ + cosecθ tan³θ).
(2 - a²)\( \frac{3}{2} \)
(4 - a²)
(a² - 8)
(2 - a\( \frac{3}{2} \))
Simplify: 3((\( \frac{4}{3} \))x² - 24x + 18) - 4(x² + 7x - 18)
The selling price of 50 books is equal to the cost price of 16 books. Find the loss or gain percentage.
\( \frac{100}{34} \) % gain
68% gain
68% loss
\( \frac{100}{34} \) % loss