Challenge: Given f(x) = tan x. Homework Help ✎
Use the fact that sin(x +y) = sin x cos y + cos x sin y
and cos(x + y) = cos x cos y − sin x sin y to show that
At this point, can you find
Find the resulting equation when multiplying by
It is known that
. Use this fact and your answer to part (c) to show that when
for f(x) = tan x is applied, the result is sec2x.
No, you would have division by 0.