Question

verify:
tanxcscxcosx = 1

Answer 1

Do you remember the definition of \(\csc x\)? How about \(\tan x\)?

Answer 2

yes. secx and cotx

Answer 3

1/secx and 1/cotx

Answer 4

isn't \(\csc x = \dfrac{1}{\sin x}\)?

Answer 5

yes

Answer 6

Also, isn't \[\tan x = \dfrac{\sin x}{\cos x}\]?

What if you rewrite your equation using those substitutions?

Answer 7

then it becomes sinx/cosx * cscxcosx =1

Answer 8

put in the definition of csc x as well

Answer 9

1=1!!

Answer 10

looks like we verified it, eh?