Question

If sin + cos theta = root 2 and 0<theta < pi /2 . Then theta = ​

Answer 1

Answer:

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

$sin \: \alpha \: cos45 + cos \alpha \: sin45 = 1$

$\sin( \alpha + 45) = 1 = \sin(90)$

$\alpha + 45 = 90$

$\alpha = 45$