Question

Verify the identity. Justify each step. (PLEASE SHOW YOUR WORK)

Answer 1

\[\frac{ \sec \theta }{ \csc \theta - \cot \theta } - \frac{ \sec \theta }{ \csc \theta +\cot \theta } = 2 \csc \theta \]

Answer 2

1st talke lcm and write the equation

Answer 3

I don't know how to do any of this

Answer 4

What is the LCM of 1/2 and 1/3

Answer 5

what does lcm mean?

Answer 6

Least common multiple

Answer 7

2 and 3?

Answer 8

LCM is csc^2 O - cot^2O

Answer 9

ok than what

Answer 10

After taking the lcm we get the common denominator nd then we can do addition nd subtraction in the numerators.

Answer 11

making it one fraction we get

secO(csc^O + cot^2O) - secO(csc^2O - cot^2O)
-----------------------------------------
csc^2 O - cot^2O

= 2 secO cot^2O
-----------
csc^2 O - cot^2O

Answer 12

ok than what?

Answer 13

After this ^ step convert all values in tems of sin and cos

Answer 14

now csc^2 O = 1 + cot^2 O
so the denominator = 1

so we are left with 2 sec O cot^2 O

Answer 15

hmm might have slipped up somewhere cant get 2 csc O from that...

Answer 16

yea i see where i went wrong
when making it into one fraction its

ecO(cscO + cot O) - secO(csc O - cot O)
----------------------------------
csc^2 O - cot^2O

Answer 17

= 2sec O cot O
= 2 *1 /cos O * ccos O / sin O
= 2 csc O

Answer 18

the denominator csc^2 O - cot^2O = 1

because csc^2 O = 1 + cot^2 O

substituting;-

1 + cot^2 O - cot^2 O = 1