Answer:
Choice b is the answer.
Step-by-step explanation:
We have given an expression.
[tex]\frac{secx}{tanx}[/tex]
We have to simplify given expression.
Since, we know that
secx is reciprocal of cosx.
[tex]secx=\frac{1}{cosx}[/tex]
tanx is ratio of sinx to cosx.
[tex]tanx=\frac{sinx}{cosx}[/tex]
Putting above formulas in given expression ,we have
[tex]\frac{1}{cosx}[/tex] ÷ [tex]\frac{sinx}{cosx}[/tex]
[tex]\frac{1}{cosx}[/tex] × [tex]\frac{cosx}{sinx}[/tex]
[tex]\frac{1}{sinx}[/tex]
Hence, cscx is reciprocal of sinx.
[tex]\frac{secx}{tanx}[/tex] = cscx
