Question

Prove the identity:
(1-sinx)(secx+tanx)=1 over secx

P.s. Happy new years everyone!!! :)

Answer 1

happy new years

Answer 2

convert secx to 1/cosx
convert 1/secx to cos x
convert tanx to sinx/cosx
then just multiply.
You will wind up with 1-sin^2x in the numerator. Rewrite that as cos^2 and it's done.

Answer 3

sec is h/a
tan is o/a
sin is o/h

Answer 4

thank you sunsetlove...

Answer 5

sec is h/a tan is o/a sin is o/h ?

Answer 6

forget that, just listen to my post.
can you do that? what do you get?

Answer 7

so, (1-sinx)(1 over cosx + sinx over cosx) and if I multiply..

Answer 8

yes... see what you get

Answer 9

ohh
\[1-\sin ^{2} \theta \over \cos \theta \] !??

Answer 10

good and what is
1-sin^2x=???
(very important identity)

Answer 11

\[\cos ^{2}x\]

Answer 12

so the fraction becomes...?

Answer 13

gotcha! :) wooooo la la. Thanks ;)

Answer 14

cosx which is same as the right side :)

Answer 15

Nice job Hannah!

Answer 16

I have to say you are very helpful! :)

Answer 17

I try, thanks for listening :)

Answer 18

btw, did memorize all of these identities?

Answer 19

did u *