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Given, tan A = 1 ⇒ A = 45° Also given, tan B = √ 3 ⇒ B = 60° ∴ cos A . cos B - sin A . sin B = cos 45° . cos 60° - sin 45° . sin 60° = 1/ √ 2 * 1/2 - 1/ √ 2 . √ 3/2 = (1 - √ 3)/2 √ 2
If x/y = 5/3, Find (x+y)/(x-y)?
If there are a total of 1000 students in the school, how many students prefer Mathematics and science?
If for non-zero x, x² - 4x - 1 = 0, what is the value of x² + 1/x²?
If p = 11, then what is the value of 
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Find the largest 5-digit number that is divisible by 12, 15, 18, and 24. Also, what is the remainder when this number is divided by 11?
For a =-4 and b = 5, value of a² – b² is:
