if sec theta + tan theta =x, then sec theta =  [xsquare+1/x, xsquare +1/ 2x, xsquare-1/2x,xsquare-1/x, 1] .           sir please answer it in easy way

Asked by Rony Joseph | 3rd Apr, 2014, 05:36: PM

Expert Answer:

G i v e n : space s e c space theta plus tan space theta equals x.... left parenthesis 1 right parenthesis N o w comma space s e c squared theta minus tan squared theta equals 1 rightwards double arrow left parenthesis s e c space theta plus tan space theta right parenthesis left parenthesis s e c space theta minus tan space theta right parenthesis rightwards double arrow x left parenthesis s e c space theta minus tan space theta right parenthesis equals 1 rightwards double arrow s e c space theta space minus space tan space theta space equals 1 over x...... left parenthesis 2 right parenthesis A d d i n g space a n d space S u b t r a c t i n g space left parenthesis 1 right parenthesis space a n d space left parenthesis 2 right parenthesis comma space w e space g e t 2 s e c space theta equals x plus 1 over x space a n d space 2 tan space theta equals x minus 1 over x rightwards double arrow s e c space theta equals 1 half open parentheses x plus 1 over x close parentheses

Answered by  | 4th Apr, 2014, 10:26: AM

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