Question

Please help with this Trig Simplify Question.

Simplify (tan x/sin x)+(1/cos x).

Answer 1

Write tanx in terms of sin and cos

Answer 2

more like\[\frac{ tanx }{ sinx }+ \frac{ 1 }{ cosx }\]

what is \[tanx \] in terms of sinx and cosx?

Answer 3

So.. tanx=sinx/cosx

Answer 4

tanx=sinx/cosx

Answer 5

Substitute that value of tanx in the above equation :)

Answer 6

hi @Potatoes.ramu . Please, you may continue.

Answer 7

@Shanaronan try it and tell me what you get :)

Answer 8

I've got 2tanx as my simplified equation.

Answer 9

No no that's wrong.. The whole point is to eliminate tanx

Answer 10

So substitute sinx/cosx in place of tanx and tell me what you get :)

Answer 11

2sin/cosx?

Answer 12

See
(sinx/cosx)/sinx

Answer 13

So you get 1/cosx in the first half

Answer 14

So totally 1/cosx+ 1/cosx

Answer 15

So thats 2/cosx right? Sorry I'm terrible with trig, I cant seem to transfer what I know about regular math to the identities and whatnot.

Answer 16

No worries! It gets easier the more you practice :)

Answer 17

So don't fret :)

Answer 18

Just remember the basic identities, that's all you need :)

Answer 19

Okay, thanks ^^

Answer 20

No problem :)