We know tan(75°) = tan(45° + 30°). Using the formula tan(A+B) = (tanA + tanB) / (1 - tanA * tanB), tan(75°) = (tan(45°) + tan(30°)) / (1 - tan(45°) * tan(30°)). = (1 + 1/√3) / (1 - 1 * 1/√3) = (√3 + 1) / (√3 - 1). Multiplying numerator and denominator by (√3 + 1), = [(√3 + 1)²] / [(√3)² - (1)²] = (3 + 2√3 + 1) / (3 - 1) = (4 + 2√3) / 2 = 2 + √3.
Select the option which is related to the third word in the same way as the second word is related to the first word.
Frog : Amphibian :: Whale...
A+B means A is father of B.
A-B means A is brother of B.
A*B means A is the mother of B.
A&B means A is sister of B.
Which o...
If 'cow' is called 'goat', 'goat' is called 'lion', 'lion' is called 'sheep', 'sheep' is called 'rat' and 'rat' is called 'monkey' , then who will be kn...
Select the option that shows the correct arrangement of the given words in the order in which they appear in the English dictionary.
1. Casino<...
If A means '×', B means '÷', C means '–' and D means '+', then find the value of the following.
5 D 16 A 5 B 8 C 8
Statement:
The most precious thing for a child is the attention given to him by his parents; Therefore, the emotional needs of children shoul...
How many people are only lawyers?
Clothes : Wardrobe :: Car : ?
649, 457, 189, 228, 497
What will be the product of the third digit of the second smallest number from the left and the first digit of the seco...
In the word OXYGEN, each vowel is replaced by the letter following it in the English alphabetical order and each consonant is replaced by the letter pre...