Question is:
Use Pythagorean identities to write the expression as an integer.
Attached is the expression.
How would you solve this one?
Hi
sec x is the hypotenuse of a right-angle triangle whose other sides are tan x and 1
Therefore $\displaystyle 1 + tan^2x = sec^2x$
Then $\displaystyle tan^2x - sec^2x = -1$
List of trigonometric identities - Wikipedia, the free encyclopedia
Because $\displaystyle tan^2 - sec^2 is = -1$ it is the same as saying $\displaystyle 1+ tan^2 4\beta= sec^2 4 \beta$
$\displaystyle tan^2 4 \beta - sec^2 4 \beta = -1$
pretty much the $\displaystyle 4 \beta$ doesnt matter it is jus like $\displaystyle \theta$