proving identities:
(tan^2+1)/(tan+cot) = tan

Question

proving identities:
(tan^2+1)/(tan+cot) = tan

kaylala · Answer

@superdavesuper

superdavesuper · Answer

use same eqn like last time sin^2 + cos^2 = 1 to simplify n solve

but in this case, replace tan=sin/cos and cot=cos/sin first then multiply top n bottom by sin*cos....

u will need to go thro a few steps...list them out here n we will see

kaylala · Answer

$$((\sin \div \cos ) + 1 ) \div ((\sin \div \cos ) + (\cos \div \sin ))$$

kaylala · Answer

?

superdavesuper · Answer

yup yup

kaylala · Answer

what's next?

superdavesuper · Answer

$$[((\sin ^{2}x/\cos ^{2}x) + 1)*(sinxcosx)]/[(sinx/cosx + cosx/sinx)*(sinxcosx)]$$

kaylala · Answer

will it be :

(sin^3 + cos^2sin) / (sin^2+cos^2)

superdavesuper · Answer

scroll up to see the 1st eqn i wrote n the bottom can be simplified to....

kaylala · Answer

i don't get the "n" part
what's that supposed to mean?

superdavesuper · Answer

sorry sorry....i mean to say scroll up....AND use that eqn to simplify the bottom

kaylala · Answer

only sin gets left

kaylala · Answer

i cancelled out the rest
only sin gets left
@superdavesuper

superdavesuper · Answer

well that is because ur top part was not right....please try to expand that again :)

kaylala · Answer

i see now.
thanks!

superdavesuper · Answer

welcome :)