simplify: cosx/(1+sinx) + (1+sinx)/cosx?

Answer 1

The final answer is 2/cos x.

(cos^2 x/(cos x+sinxcosx)) + ((1+2sinx+sin^2 x)/(cos x+sinxcosx)

(1+2sinx+sin^2 x+cos^2 x)/cos x+sinxcosx

(2+2sinx)/cos x+sinxcosx

(2(1+sinx))/(cosx(1+sinx))

2/cosx

TADA!

Answer 2

First follow PART of Karl's advice, the part where he said, "make a common denominator of (1+sinx)(cosx)" (Hope you know how to do that.)

Then put the numerator into simplest terms. (Note that
sinx squared plus cosx squared equals 1. Once you've applied that rule, you should FACTOR the numerator.)

Finally, find a term that appears in both the numerator and the denominator, so that term can be removed from both numerator and denominator to find the final answer.

If your final answer has only a one-digit integer in the numerator, and only cosx in the denominator (and sinx doesn't appear at all), then you have done it right.

Answer 3

uncomplicated denominator [(cosx)(a million-sinx) + (cosx)(a million+sinx)]/(a million-(sinx)^2) observe: a million-(sinx)^2 ==(cosx)^2 element [cosx(a million-sinx)(a million+sinx)]/[(cosx)^2] simplify [cosx(a million-(sinx)^2)]/[(cosx)^2] [(cosx)^3]/[(cosx)^2] cosx

Answer 4

bah, I don't want to, but make a common denominator of (1+sinx)(cosx), that should lead you to your answer.


Also take into consideration that cos x/sin x = cot x and sin x/cos x = tan x


Not too hard...

Answer 5

equals headache

Answer 6

oooo....someone didnt do their summer homework....oooo.....

Answer 7

what??????