Question

Verify the identity. Show your work
cot θ ∙ sec θ = csc θ

Answer 1

i did it this way:
secx -1 / tanx
(1/cosx -1)/ tanx
(1/cosx - cosx/cosx)/(sinx/cosx)
(1 - cosx / cosx) / (sinx/cosx)
(1 - cosx) / sinx
For the other side (right), Step B:

(sinx/cosx) / (1/cosx +1)
(sinx/cosx) / (1/cosx + cosx/cosx)
(sinx/cosx) / (1+cosx / cosx)
sinx / (1+cosx)



Step C (left side)

(1 - cosx) / sinx
(1-cosx)sinx / sin^2x
(1-cosx)sinx / (1-cos^2x) pythagorean property (sin^2x + cos^2x = 1)
(1-cosx)sinx / (1+cosx)(1-cosx) factor the bottom
(sinx / (1+cosx) Cancel the common (1-cosx)

secx-1 / tanx = sinx / (1+cosx)

Step A
Step C
backwards of Step B

Answer 2

my teacher said: To prove an identity you are required to show that the LHS
of the relationship given is = the RHS. It is different to solving an equation.
You cannot take terms across the = and you cannot multiply or divide both sides by anything.
You do so by using accepted identities that enable you to rewrite one or both sides so that they
are exactly the same.
i dont know what she is asking and what i did wrong please help

Answer 3

any one please help me

Answer 4

@perl hi could u please tag other math experts i dont know anyone here

Answer 5

@kittiwitti1