Question

Simplify the expression.

Answer 1

Choice b is the answer.

Explanation:

We have given an expression.

`(secx)/(tanx)`

We have to simplify given expression.

Since, we know that

secx is reciprocal of cosx.

`secx=(1)/(cosx)`

tanx is ratio of sinx to cosx.

`tanx=(sinx)/(cosx)`

Putting above formulas in given expression ,we have

`(1)/(cosx)` ÷
`(sinx)/(cosx)`

`(1)/(cosx)` ×
`(cosx)/(sinx)`

`(1)/(sinx)`

Hence, cscx is reciprocal of sinx.

`(secx)/(tanx)` = cscx

Answer 2

The answer is (b) cscx

Explanation:

∵ secx = 1/cosx

∵ tanx = sinx/cosx

∴ secx/tanx = 1/cosx ÷ sinx/cosx

= 1/cosx × cosx/sinx

= cscx