Question

If sin 2a=cosa, then find the value of tana.​

Answer 1

$\huge\star \sf \pink{\underline { \underline{Given:-}}}$

$\sf{sin2A = cosA}$

$\star \sf\green{ \underline { \underline{Formula \: usage:-}}}$

→Sin2A=2SinAcosA

$\huge \star\sf \purple{\underline { \underline{Answer:-}}}$

$\sf{2sinAcosA = cosA}$

$\sf {2 sinA = 1}$

$\mathfrak{sinA = \frac{1}{2} }$

$\mathfrak{A = 30°}$

So

$\mathbb{ tanA = \frac{1}{ \sqrt{3} } }$