tan theta= 1 , find cos theta and sin theta by Pythagoras theorem
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Given. tan theta= 1.
Since, tan theta= sin theta/cos theta
therefore, 1=sin theta/cos theta,
hence, Sin theta= cos theta.
Now, tan theta= 1/cot theta
therfore, cot theta = 1.
Since cosec² theta= 1+ cot² theta,
therefore cosec² theta= 1+ 1²= 2
cosec²theta= 2
therfore cosec theta= root 2.
Now, since sin theta= 1/cosec theta
therefore sin theta= 1/root 2
since sin theta= cos theta
therfore cos theta = 1/root 2.
Answer. sin theta= 1/root2
cos theta=1/root 2.
I hope you get your answer .
Mark it as brainlist.
Since, tan theta= sin theta/cos theta
therefore, 1=sin theta/cos theta,
hence, Sin theta= cos theta.
Now, tan theta= 1/cot theta
therfore, cot theta = 1.
Since cosec² theta= 1+ cot² theta,
therefore cosec² theta= 1+ 1²= 2
cosec²theta= 2
therfore cosec theta= root 2.
Now, since sin theta= 1/cosec theta
therefore sin theta= 1/root 2
since sin theta= cos theta
therfore cos theta = 1/root 2.
Answer. sin theta= 1/root2
cos theta=1/root 2.
I hope you get your answer .
Mark it as brainlist.
pihuu36:
but it cannot be done by Pythagoras theorem?
I told you the simplest way to solve this question.
I was having this method so i ask you for Pythagoras method.
let it be. and ya by the way thankuh
ok
your welcome
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