Question

Express sin a in terms of cot a​

Answer 1

REFER TO THE ATTACHMENT......

Answer 2

Answer :

$\quad \cdot\dashrightarrow\bf \: \: {sin A = \cfrac{1}{\sqrt{1+cot^2 A}}}$

Step-by-step Explanation :

To Express :

• Sin A in terms of Cot A.

Formula Used :

1 + cot² A = cosec² A.

$\quad\cdot\dashrightarrow\tt \: \:sin {}^{2} A = \cfrac{1}{cosec{}^{2}A }$

Expressing :

$\quad\cdot\dashrightarrow\tt \: \:sin {}^{2} A = \cfrac{1}{cosec{}^{2}A }$

$\quad\cdot\dashrightarrow\tt \: \:sin {}^{ \cancel2} A = \cfrac{1}{cosec{}^{ \cancel2}A }$

• ➥ Here, squares are cancelled.

$\quad \cdot\dashrightarrow\bf \: \: {sin A = \cfrac{1}{\sqrt{1+cot^2 A}}}$

• ➥ Here, we have substituted the value of cosec A and rooted it .