Question
You are tasked with implementing a search feature for a
large, constantly changing dataset where the order of elements doesn't matter, but fast lookups are crucial. Which data structure would be the most appropriate choice?Solution
Hash Set/Map: Offers average O(1) time complexity for lookups, insertions, and deletions, making it ideal for fast operations on dynamic datasets where order is not important. Sorted Array: Fast lookups (O(log N)) but slow insertions/deletions (O(N)). Binary Search Tree: O(log N) average for all operations, but can degrade to O(N) in worst case (unbalanced). Queue/Stack: Not designed for efficient searching.

If θ is a positive acute angle and cos² θ + cos⁴θ = 1, then the value of tan²θ + tan⁴θ is?
If sec A + tan A = 7 and sec A - tan A = (1/7), find the value of cos A.
Simplify:
8sin 27° sec 63° + 3cot 64° cot 26°
Find the value of the following:sin(36° + A) × cos(54° – A) + cos(36° + A) × sin(54°–A)
If sinθ = 5/13 for an acute angle θ, find:
(a) cosθ, (b) tan(90° − θ).

In triangle ABC, ∠A - ∠B = 16 ° , whereas ∠A - ∠C = 8 ° , find ∠B.
The minimum value of 3 sin2 θ + 4 cos2 θ is
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