Question #01baa

1 Answer
Jul 6, 2016

I think the question should be to prove#tan x + cot x = 1/ (sinx * cos x)# instead of # tan x + cos x = 1/ (sinx * cos x)#

Explanation:

I think the question should be to prove#tan x + cot x = 1/ (sinx * cos x)#

#tan x + cot x # = # sin x/ cos x + cos x /sin x# =>

=# (sin x * sin x )/ (sin x cos x) + (cos x * cos x)/ (sin x * cos x)#

= #(sin^2 x + cos^ 2 x)#/ #(sinx cos x)#

= #1/( sin x cos x)#