Question

If cosecA=secA then the value of cotA is?

Answer 1

Answer:

Given,

$\: \: \: \: \: \sf \: cosecA = secA \\ \implies \: \sf \: \frac{1}{sinA} = \frac{1}{cosA} \\ \implies \: \sf \frac{cosA}{sinA} = 1 \\ \implies \: \sf \: cotA = 1 \\ \\ \therefore \boxed {\red{ \: cotA = 1}}$

Note:

$> sinA = \frac{1}{cosecA} \\ > cosA = \frac{1}{secA} \\ > tanA = \frac{1}{cotA} \\ > cotA = \frac{cosA}{sinA} \\ > tanA = \frac{sinA}{cosA} \:$