Question

topic: PROVING IDENTITIES - i need help please :) i dont know how to do this (SEE COMMENTS)
(trigonometry)

Answer 1

1)

[sec s] - [(cos s)/(1 + sin s)] = tan s

2)

[(sec A + csc A cot A)/(sec^2 A)] = cos A csc^2 A

Answer 2

2/ ( don't know why, I always start from #2)
break down the fraction from the left hand side, what do you have?

Answer 3

\[\frac{sec}{sec^2}+\frac{csc* cot}{sec^2}\]
\[=\Large cos +\frac{\frac{1}{sin}*\frac{cos}{sin}}{\frac{1}{cos^2}}\]
\[=\Large cos +\dfrac{\dfrac{cos}{sin^2}}{\dfrac{1}{cos^2}}\]
\[=\Large cos +cos \frac{cos^2}{sin^2}\\=cos +cos *cot^2\]
factor cos out
cos (1+cot^2) = cos *csc^2

Answer 4

okay then. we start with 2

i dont really know. sorry

Answer 5

question?

Answer 6

how did you get the very first one?
@Loser66

Answer 7

break the factor out.