The sides of a triangle are in the ratio \( 0 \tfrac{1}{3} : \tfrac{1}{5} : \tfrac{1}{6} \) . If the perimeter is 147 cm, then the length of the smallest side is
Solve the following to find its value in terms of trigonometric ratios.
(sin A + cos A)(1 - sin A cos A)
sin²A + cos³A
sin²A - cos²A
(cos A - sin A)(sin²A + cos²A)
sin²A - cos³A
Study the table and answer the questions.
| School Name | Total number of Student enrolled | Percentage of students who opted for statistics |
| A | 450 | 20 |
| B | 200 | 18 |
| C | 500 | 12 |
| D | 400 | 15 |
If sin θ = \(\frac{1}{2}\), then the value of (3cos θ - 4cos3θ) is:
Find the mean proportion of
\[
\frac{a^{3}+b^{3}}{a-b} \quad \text{and} \quad \frac{a^{2}-b^{2}}{a^{2}-ab+b^{2}}
\]