Question

cos² ( 1+ tan²) = 1 prove that

Answer 1

to prove -
$cos {}^{2}(1 + tan {}^{2} ) = 1$
substitute
$1 + tan {}^{2}$
with
$sec {}^{2}$
according to the identity....
and cos × sec = 1
therefore
$cos { }^{2} \times sec {}^{2}$
= 1

hope it helps plz mark as brainliest

Answer 2

In the figure chord EF || chord GH. Prove that, chord EG chord FH. Fill in the blanks and write the proof.

Proof: Draw seg GF.

Z EFG = Z FGH

Z EFG =

ZFGH =

.. m(arc EG) =

(1)

inscribed angle theorem (II)

inscribed angle theorem (III)

] from (I), (II), (III).

chord EG chord FH .....