Question
If (a2 − b2)sin θ + 2ab cos θ
= a2 + b2, then tan θ =Solution
(a2 − b2) sin θ + 2ab cos θ = a2 + b2 divide it by a2 + b2 we get ((a2 − b2) sin θ) / (a2 + b2) + (2ab cos θ) / (a2 + b2) = 1 (sin2 θ + cos2 θ = 1) Here sin θ = (a2 − b2) / (a2 + b2) cos θ = 2ab / (a2 + b2) tan θ = (Sin θ) / (cos θ) = (a2 − b2) / 2ab
If 1 number is added in the even digit in the given number 47896358 and 2 is subtracted from an odd digit, then how many digits are repeated in the new...
How many such pairs of letters are there in the word REACHABLE each of which has as many letters between them in the word as in the English alphabet? (I...
Which of the following letter will be 3rd letter from the left end if the letters at odd positions are replaced by succeeding letter in the w...
How many pairs of letters in the word POSITIVE has the same number of letters between them as in the alphabet?
The Position of how many digits in the number “175389246”will remain unchanged when the digits are arranged in descending order from left to right?...
If in the word ‘COMPLUSORY’ all the vowels are changed to immediate succeeding letter and all the consonants are changed to 2nd succeeding letter an...
If in the word ‘CELEBRATION’, all the consonants are changed to their immediate succeeding letters and all the vowels are changed to their opposite...
The position of how many letters will remain unchanged, if each of the letters in the word 'EVALUATION’ is arranged from left to right as per English...
- If in the word 'COMPUTER', all the consonants are changed to 3rd preceding and all the vowels are changed to immediately preceding letter as per the Englis...
How many such pairs are there in the word ASCENDING each of which has as many letters between them in the word(in both forward and backward directions) ...
Relevant for Exams:
