Question

Establish the identity
tan u cot u - cos^2u=sin^2u

Answer 1

can you express tan u in terms of sin u and cos u ?

Answer 2

Not really, I barely learned this today with a sub who couldn't teach..

Answer 3

learn the basic identities first then?
do you know any trigonometric identity ?

Answer 4

for this Question, you'll need these,
\(\huge \tan x=\dfrac{\sin x}{\cos x} \\ \huge \cot x=\dfrac{\cos x}{\sin x} \\ \huge \sin^2x+\cos^2x=1\)

Answer 5

So.. sinx/cosx * cosx/sinx - cos^2u=sin^2u?

Answer 6

yes, what gets cancelled out ?

Answer 7

sinx/cosx*cosx/sinx

Answer 8

what remains ?

Answer 9

-cos^2u=sin^2u

Answer 10

a/a =1 and nor 0, so after cancelling out, the '1' remains, so you have
1-cos^2 u on left, got this ?

Answer 11

no... :(

Answer 12

why ? what part is confusing you ?

Answer 13

a/a =1 and nor 0, so after cancelling out, the '1' remains,
^ this part

Answer 14

whats 2/2 =... ?

Answer 15

1

Answer 16

yes, infact anything/same thing = 1
so,

now got that^ ?