Question

Show that tan^4theata + tan^2theata = sec^4theata - sec^2theata

Answer 1

hey mate

here is the answer...

I AM USING # INSTEAD OF THETA.

Answer:

To prove:

tan⁴# + tan²# = sec⁴# - sec²#

LHS:

=>tan⁴# + tan²#

=>tan²# ( tan²#+1)

=>tan²# *sec²#

=>(1 - sec²#) *sec²#

=>sec⁴# - sec²#. [RHS]

---+PROVED+---