The value of (1 + cot²θ)(1 + cosθ)(1 - cosθ) - (1 - sinθ)(1 + sinθ)(1 + tan²θ) is: (θ lies in the first quadrant)
0
Expanding the given expression and simplifying using trigonometric identities:
(1 + cot²θ) = csc²θ, and (1 - cos²θ) = sin²θ.
Similarly, (1 + tan²θ) = sec²θ and (1 - sin²θ) = cos²θ.
Simplifying, we get 0 as the final value.
Important Questions from Measures of Central Tendency
What is mean deviation about the median ?
The mode and median of a data is 26.7 and 71, respectively. What is the mean of the data? (Use empirical formula.)
Study the given table and answer the question that follows. The given table depicts the percentage of marks scored by Mary and Perul in History and Physics (out of 75 each).
Name History Physics Mary
60
64
Perul
54
70
How many marks did Mary score in History?
The average of eight numbers is 14. The average of six of these numbers is 16. The average of the remaining two numbers is:
Which one of the following measures of central tendency will be used to determine the average size of the shoe sold in the shop?
