Tan2a=3/4, find the value of Tana
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Answer in attachment file...
We know that:-
tan2a=tan a/1-tana²
So..
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tan 2a = 3/ 4
we know that
tan 2a = 2tana/ 1-tan^2a
3/4 = 2×tana/1 - tan^2a
3 - 3 tan^2a = 8 tana
3tan^2a+8tana-3= 0
3tan^2a+(9-1)tana-3=0
3tana(tana +3) - 1(tana +3)=0
(tana+3)(3tana-1)=0
tana= -3 , 1/3 answer
we know that
tan 2a = 2tana/ 1-tan^2a
3/4 = 2×tana/1 - tan^2a
3 - 3 tan^2a = 8 tana
3tan^2a+8tana-3= 0
3tan^2a+(9-1)tana-3=0
3tana(tana +3) - 1(tana +3)=0
(tana+3)(3tana-1)=0
tana= -3 , 1/3 answer
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