`1+tan^2 \alpha = 1 / [ cos^2 \alpha ]`
`=>1+3^2=1/[cos^2 \alpha]`
`=>cos^2 \alpha = 1/10`
Lại có: `sin^2 \alpha + cos^2 \alpha = 1`
`=>sin^2 \alpha + 1/10 = 1`
`=>sin^2 \alpha = 9/10`
`->D`
Lời giải:
$3=\tan a=\frac{\sin a}{\cos a}$
$\Rightarrow \sin a=3\cos a$
$\Rightarrow \sin ^2a=9\cos ^2a$
$\Rightarrow 10\sin ^2a=9(\cos ^2a+\sin ^2a)=9$
$\Rightarrow \sin ^2a=\frac{9}{10}$
Đáp án D.