Question

sin alpha + cos alpha = √2 cos alpha so, tan alpha = ?​

Answer 1

Answer:

√2-1

Step-by-step explanation:

$sin \alpha + cos \alpha = \sqrt{2} cos \alpha \\ \frac{sin \alpha + cos \alpha }{cos \alpha } = \frac{ \sqrt{2} cos \alpha }{cos \alpha } \\ \frac{sin \alpha }{cos \alpha } + \frac{cos \alpha }{cos \alpha } = \sqrt{2} \\ tan \alpha + 1 = \sqrt{2} \\ tan \alpha = \sqrt{2} - 1$