Hi,

Im having a lot of trouble solving the following trig identities:

a) secē x-2 sec x cos x + cosē = tanē x - sinē x

b)

My working:

For a):

Trigonometric identity: secx cosx=1

Therefore:

secēx-2 sec x cos x + cosē

=secēx + cosē-2

Identity: secēx = 1/cosēx

Use the Identity:

secēx + cosē- 2

1/cos^2x +cosēx-2

Now I am very confused, really unsure on how to prove this identity. I would greatly appreciate any helpful tips.

For b)

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

L.H.S:

Tanx+1/tanx

Identity: 1/tanx = cotx :

=tanx+cotx

Now im completely lost, the R.H.S side is turning out to be "csc x sec x" .

I would greatly appreciate any helpful tips, since I'm very confused here.

Thanks