Question

How would you verify this ?

cosx
______________ = sec x + tan x
1 - sin x

Answer 1

expand secx and tanx

Answer 2

1 sin x
_____ + _________
cos x cos x

Answer 3

1 + sin x
__________
cos x

Answer 4

then what?

Answer 5

on left hand side, you're seeing 1-sinx in bottom,
so multiply & divide 1-sinx

Answer 6

1 + sin x 1-sin x
__________ x ----------
cos x 1-sin x

Answer 7

Hmm..
why did you multiply the left side with the result of the right hand side,
is that possible?

Answer 8

i have just multiplued wat u have wid \(1\)

1-sin x
---------- = \(1\)
1-sin x

Answer 9

u have this

1 + sin x
__________
cos x

Answer 10

multiply it 1,

Answer 11

1 + sin x
__________ x \(1\)
cos x

Answer 12

is this rationalizing?

Answer 13

1 + sin x 1-sin x
__________ x ----------
cos x 1-sin x

Answer 14

please go on

Answer 15

kindof, but there are no rationals involved here :) its all trig

simplify now

Answer 16

use this : \((a+b)(a-b) = a^2-b^2\)

Answer 17

I see :)

Answer 18

1 + sin x 1-sin x
__________ x ----------
cos x 1-sin x



(1-sin^2x)
----------
cos x (1- sinx)

Answer 19

and then we use the phytagorean identity ?

Answer 20

rest is bit easy :)

Answer 21

yeah

Answer 22

Thanks :)

Answer 23

u cud have solved this by taking left hand side also

Answer 24

cosx
______________ = sec x + tan x
1 - sin x


take left hand side,

cosx
______________
1 - sin x

Answer 25

now multiply & divide it wid \(1\)

Answer 26

give it a try when free :)

Answer 27

1 + sin x / 1 + sin x ?

Answer 28

Yes !

Answer 29

oh my gosh thanks :)

Answer 30

np :)

Answer 31

I will close this now, bye :) see you

Answer 32

seeya :)