Prove that $1200secx(2(sec^2x)-1) -= 1220 ((1+sin^2x)/cos^2x)$ ?

Question

1283 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2018-02-04T22:05:05

The given statement is not an identity.

We seek to prove that:

$1200secx(2(sec^2x)-1) -= 1220 ((1+sin^2x)/cos^2x)$

We can disprove this identity using a Counter Example:

Consider the case $x=0$ , then:

$LHS = 1200sec0(2(sec^2 0)-1)$
$\ \ \ \ \ \ \ \ = 1200(2-1)$
$\ \ \ \ \ \ \ \ = 1200$

And:

$RHS = 1220 ((1+sin^2 0)/cos^2 0)$
$\ \ \ \ \ \ \ \ = 1220 ((1+0)/1)$
$\ \ \ \ \ \ \ \ = 1220$

And $LHS != RHS$ so the given statement is not an identity.

Prove that 1200secx(2(sec^2x)-1) -= 1220 ((1+sin^2x)/cos^2x) 1200secx(2(sec^2x)-1) -= 1220 ((1+sin^2x)/cos^2x) ?