Question

Prove:
cotx+tanx=cotx * sec^2x

Answer 1

write sec^2x = .... ?

Answer 2

1/cos^2x

Answer 3

1+ tan^2 x ?

Answer 4

sec^2x

Answer 5

then you can use directly here, tan x cot x =1

Answer 6

All you need to know is the definition of \(\tan x, \cot x, \sec x\) and how to work with fractions.

Answer 7

yes, so i said to replace sec^2 x by 1+tan^2x

Answer 8

can be solved without involving fractions ... :)

Answer 9

@koli123able did you try ?

Answer 10

which side to choose?

Answer 11

right ...?

Answer 12

cotx * sec^2x=cotx * (1+tan^2 x) =..... ?

Answer 13

cotx+ cotx tan^2x

Answer 14

cotx tanx becomes 1

Answer 15

cotx+ cotx tan^2x = cot x + tan x (cot x tan x)

Answer 16

is that an identity cot x tanx =1 ??

Answer 17

absolutely.
tan x = 1/cot x
so, tan x cot x =1

Answer 18

cosx/sinx =sinx/cosx

Answer 19

cos^2x + sin^2x / cosx sinx

Answer 20

1/cosxsinx

Answer 21

cscx+secx