Question

if sinA+cosA=√2cosA (Aid not equal to 90). then the value of tan​

Answer 1

Step-by-step explanation:

$\sin(a) + \cos(a) = \sqrt{2} \cos(a) \\ \\ \sin(a) = \sqrt{2} \cos(a) - \cos(a) \\ \\ tan(a) = \frac{ \sin(a) }{ \cos(a) } \\ \\ \tan(a) = \frac{ \sqrt{2} \cos(a) - \cos(a) }{ \cos(a) } \\ \\ \tan(a) = \frac{ \cos(a)( \sqrt{2} - 1)}{ \cos(a) } \\ \\ \\ \\ \\ \tan(a) = \sqrt{2 } - 1 \\ \\ \\ pls \: make \: it \: brainly \: answer$

please make it brainly answer

Answer 2

$\Large\frak{\underline{\underline{Answer:}}}$

$\sin(a) + \cos(a) = \sqrt{2} \cos(a) \\ \\ \sin(a) = \sqrt{2} \cos(a) - \cos(a) \\ \\ tan(a) = \frac{ \sin(a) }{ \cos(a) } \\ \\ \tan(a) = \frac{ \sqrt{2} \cos(a) - \cos(a) }{ \cos(a) } \\ \\ \tan(a) = \frac{ \cos(a)( \sqrt{2} - 1)}{ \cos(a) } \\ \\ \\ \\ \\ \tan(a) = \sqrt{2 } - 1 \\ \\ \\ pls \: make \: it \: brainly \: answer$