How do you simplify #(tan x + cos x +sin x tan x)/ (sec x + tan x)#?
1 Answer
Always remember your basic identities:
#cos^2(x)+sin^2(x)=1# #tan(x)=sin(x)/cos(x)# #sec(x)=1/cos(x)#
There are (many) others, but these are the most fundamental for trigonometry. In fact, every simple trigonometric function can be written in terms of sines and cosines. For example, the scary-looking "half coversed cosine" hacovercos(x) (which is not usually examinable) is simply
Using the above identities, suddenly your equation becomes:
From this point, it's algebraic manipulation and not much else more.