Math, asked by shahinchinna, 1 year ago

sec theta = x + 1/x , prove that sec theta * tan theta = 2x

Answers

Answered by Dia095
30
sec a= x+1/x=(x²+1)/x
tan a= 2x²/x²+1
putting the value
sec a. tan a= x²+1/x×2x²/x²+1=2 x answer proved..
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Answered by sameeksha2004
7

sec¤ = x + 1/x

sec¤.tan¤ = 2x

sec¤ = x^2 + 1/x

tan¤ = 2x^2/x^2 + 1

putting the values.

sec¤.tan¤ = 2x

x^2 + 1/x *2x^2 /x^2 +1 = 2x

2x^2/x = 2x

2x = 2x

----------------------Hence Proved --------------------

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