Question

$\frac{tan55}{cot55}$ $\times$ sin 30 = A

Find the value of 2A.

Answer 1

$\Rightarrow$$\frac{tan55}{cot55}$ $\times$ sin 30 = A

$\Rightarrow$ $\frac{tan55}{tan(90-35)}$ $\times$ sin 30 = A (Since, tan(90 - A) = cotA)

$\Rightarrow$$\frac{tan55}{tan55}$ $\times$ $\frac{1}{2}$ = A

$\Rightarrow$A = $\frac{1}{2}$

$\Rightarrow$2A =1