Question

can someone please
1. Verify (1/cosx+1)+(1/cosx-1) = -2cscxcotx

Answer 1

[1 / (1 - cosx)] + [1 / (1 + cosx)] = 2csc²x

Working with the left side:
[1 / (1 - cosx)] + [1 / (1 + cosx)]

Give common denominators:
[(1 + cosx) / (1 - cosx)(1 + cosx)] + [ (1 - cosx) / (1 - cosx)(1 + cosx)]

Add these together:
[1 + cosx + 1 - cosx] / [(1 - cosx)(1 + cosx)]


SImplify the numerator and expand in the denominator:
2 / (1 - cos²x)

Use the Pythagorean Identity:
2 / sin²x

Thus:
2csc²x

Answer 2

it is not negative

Answer 3

that's how the question is

Answer 4

what are you looking for

Answer 5

the anwser
how to get the anwser

Answer 6

yes anthony you are right sure - nice work

Answer 7

thanx

Answer 8

thank you anthony.