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Mathematics 16 Online
OpenStudy (allieeslabae):

help?

OpenStudy (ribhu):

cot theta = cos theta / sin theta so\[1+ \cos ^{2}\theta /\sin ^{2}\theta] \[[1+ \cos ^{2}\theta /\sin ^{2}\theta] = (\sin^2 \theta + \cos ^2 \theta)/ \sin^2\theta = 1/\sin^2 \theta = cosec^2\theta \] hence proved.... the result is obtained

OpenStudy (ribhu):

i hope u understood this

OpenStudy (allieeslabae):

Wait can you come back because I can't see the whole statement... @ribhu

OpenStudy (ribhu):

okay.. \[step 1 : \cot \theta = \cos \theta/\sin \theta \]

OpenStudy (ribhu):

replace this is the identity on the left side.

OpenStudy (ribhu):

then

OpenStudy (ribhu):

\[1+ (\cos^2\theta/\sin^2\theta )\]

OpenStudy (ribhu):

\[(\sin^2\theta + \cos^2\theta)/ \sin^2\theta { taking LCM} \]

OpenStudy (ribhu):

\[1/\sin^2\theta\]

OpenStudy (ribhu):

\[= cosec^2 \theta = result\]

OpenStudy (ribhu):

i hope now its clear!!

OpenStudy (allieeslabae):

Yes very clear, thank you! Now not to sound a little ehhh but Can I just put "cosec^2(theta) in teh calculator to get the result or is it the final result?

OpenStudy (ribhu):

this is the final result.... chill

OpenStudy (allieeslabae):

bwahha just making sure, thank you! Wait but before you go could you look at this one? no one could figure it out earlier..

OpenStudy (ribhu):

this proves the identity also... you can check this using calculator... just check with theta = 30 degrees, you will get left hand side equal to right hand side.

OpenStudy (ribhu):

yes u need to have a function for this..

OpenStudy (allieeslabae):

There isnt a formula for this problem that I can follow?

OpenStudy (ribhu):

nah

OpenStudy (allieeslabae):

Lol Okay thank you!

OpenStudy (allieeslabae):

@Photon336 would you like to assist me on this?

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