Consider a triangle PQR, right angled at R, in which PQ = 29 units, QR = 21 units and ∠PQR = θ. Find the value of cos²θ − sin²θ.
\( \frac{21}{841} \)
\( 1 \)
\( \frac{20}{841} \)
\( \frac{41}{841} \)
A woman spends \( \frac{2}{3} \) of her income. If her income increases by 18% and the expenditure increases by 24%, then the percentage increase in her savings will be:
Simplify \( 4\frac{4}{5} \times \frac{3}{8} + \left( 3\frac{1}{2} + \frac{2}{3} \right) \times \frac{4}{5} \)
\( \frac{15}{77} \)
\( \frac{77}{15} \)
\( \frac{3}{10} \)
\( \frac{10}{3} \)
General English
Select the correctly spelt word to fill in the blank.
All the chefs in the world are famous because of their _____________ skills