Question

If Cot B = y/x , then Sin B is equal to ​

Answer 1

Answer:

Step-by-step explanation:

We have,

$\tt{cot(B)=\dfrac{y}{x}}$

$\tt{\implies\,cot^2(B)=\dfrac{y^2}{x^2}}$

$\tt{\implies\,cosec^2(B)-1=\dfrac{y^2}{x^2}}$

$\tt{\implies\,cosec^2(B)=\dfrac{y^2}{x^2}+1}$

$\tt{\implies\,cosec^2(B)=\dfrac{y^2+x^2}{x^2}}$

$\tt{\implies\,sin^2(B)=\dfrac{x^2}{y^2+x^2}}$

$\tt{\implies\,sin(B)=\dfrac{x}{\sqrt{x^2+y^2}}}$