Question

if root 3 tan tita = 3 sin tita then prove that siin square tita - cos square tita =1/3

Answer 1

Answer:

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Answer 2

√3tan thitha= 3sin thita

tan theta equals to root 3 sin theta

tan theta by sin theta is equals to root 3

one by cos theta is equals to root 3

cos theta is equals to one by root 3 eq 1

from question

sin squared theta minus cos squared theta equals to 1 by 3

sin sin square theta is equals to 1 minus cos square theta

therefore 1 - cos squared theta minus cos squared theta is equals to 1 by 3

1 - 2 cos square theta is equals to one by 3

from from equation 1 substitute cos theta equals to 1 by root 3

1 - 2 into one by root 3 square is equals to

1 - 2by3

that is equals to 1 by 3

therefore hence proved