Question
Wed December 06, 2017 By: Arya Patel

QID : 58 - If (secA - tanA)2
 = x, then the value of x is

Expert Reply
Thu December 07, 2017
 
Given:  (secA - tanA)2 = x
open parentheses fraction numerator begin display style 1 end style over denominator begin display style CosA end style end fraction minus fraction numerator begin display style SinA end style over denominator begin display style CosA end style end fraction close parentheses squared equals straight x
rightwards double arrow open parentheses fraction numerator 1 minus SinA over denominator CosA end fraction close parentheses squared equals straight x
rightwards double arrow fraction numerator open parentheses 1 minus SinA close parentheses over denominator Cos squared straight A end fraction squared equals straight x
rightwards double arrow fraction numerator open parentheses 1 minus SinA close parentheses over denominator 1 minus Sin squared straight A end fraction squared equals straight x
rightwards double arrow fraction numerator open parentheses 1 minus SinA right parenthesis left parenthesis 1 minus SinA close parentheses over denominator left parenthesis 1 plus SinA right parenthesis left parenthesis 1 minus SinA right parenthesis end fraction equals straight x
rightwards double arrow fraction numerator open parentheses 1 minus SinA close parentheses over denominator left parenthesis 1 plus SinA right parenthesis end fraction equals straight x


 (Using Trigonometric identities)
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