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Hey !!!
2x = sec¢---1) and tan¢ = 2/x-----2)
adding 1) and 2) we get
sec¢ + tan¢ = 2x + 2/x
sec¢ + tan¢ = 2(x+1/x) ------3 )
and substracting 1) to 2)
sec¢ - tan¢ = 2x - 2/x
sec¢ - tan¢ = 2(x-1/x) -------4)
multiplying 3) and 4)
(sec¢ + tan¢)(sec¢ - tan¢) = 2(x+ 1/x) 2(x-1/x)
sec²¢ - tan²¢ = 4(x²-1/x² )
1/2 = 2(x² - 1/x²)
hence 2(x² -1/x² )= 1/2 Answer
*****************************
Hope it helps you !!!
@Rajukumar111
2x = sec¢---1) and tan¢ = 2/x-----2)
adding 1) and 2) we get
sec¢ + tan¢ = 2x + 2/x
sec¢ + tan¢ = 2(x+1/x) ------3 )
and substracting 1) to 2)
sec¢ - tan¢ = 2x - 2/x
sec¢ - tan¢ = 2(x-1/x) -------4)
multiplying 3) and 4)
(sec¢ + tan¢)(sec¢ - tan¢) = 2(x+ 1/x) 2(x-1/x)
sec²¢ - tan²¢ = 4(x²-1/x² )
1/2 = 2(x² - 1/x²)
hence 2(x² -1/x² )= 1/2 Answer
*****************************
Hope it helps you !!!
@Rajukumar111
Answered by
1
Answer:
2x = sec¢---1) and tan¢ = 2/x-----2)
adding 1) and 2) we get
sec¢ + tan¢ = 2x + 2/x
sec¢ + tan¢ = 2(x+1/x) ------3 )
and substracting 1) to 2)
sec¢ - tan¢ = 2x - 2/x
sec¢ - tan¢ = 2(x-1/x) -------4)
multiplying 3) and 4)
(sec¢ + tan¢)(sec¢ - tan¢) = 2(x+ 1/x) 2(x-1/x)
sec²¢ - tan²¢ = 4(x²-1/x² )
1/2 = 2(x² - 1/x²)
hence 2(x² -1/x² )= 1/2 Answer
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