Prove the identity. 25 points + brainliest to whoever explains/shows work.​

Truth

Step-by-step explanation:

sin (2x)/sin (x) - cos (2x)/ cos (x) = sec (x)

If you look at sin (2x) cos (x)/ sin - cos (2x) sin (x)/ cos (x) sin (x) =

sin (2x) cos (x) - cos (2x) sin (x)/ sin (x) cos (x) = sec (x) yes still equals sec (x)

for ex: the reciprocal of 3/4 is 4/3. it is the opposite.

reciprocal definition:

a mathematical expression or function so related to another that their product is one; the quantity obtained by dividing the number one by a given quantity.