Question

cosec a=2, then cot^2 a=?​

Answer 1

$\color{red}\huge{\underline{\underline{GIVEN\dag}}}$

• $\cosec (a) = 2$

$\color{red}\huge{\underline{\underline{TO\:FIND\dag}}}$

• $\cot ^{2} (a)$

$\color{red}\huge{\underline{\underline{SOLUTION\dag}}}$

$\cosec (a) = 2$

Squaring on both sides:

$\cosec^{2} (a) = 2^{2}$

$\cosec ^{2} (a) = 4$

But We know that;

${\boxed{ \color{blue} \cosec ^{2} ( \theta) - \cot ^{2} ( \theta) = 1}}$

$\implies 4 - \cot ^{2} (a) = 1$

$\implies \cot ^{2} (a) = 4 - 1$

$\color{orange}{ \boxed {\therefore \cot ^{2} (a) = 3}}$

HOPE THAT HELPS!!

Answer 2

Step-by-step explanation:

$\huge{\fbox {Given\dag}}$