Question

sin theta+ cos theta= √2. solve and find the general value of theta​

Answer 1

$\:\: \underline{\underline{\bf{\large\mathfrak\red{~~Solution~~}}}}$

=>sin∅+cos∅=√2

=>(sin∅+cos∅)²=(√2)²

=>sin²∅+cos²∅+2sin∅cos∅=2

=>1+2sin∅cos∅=2

=>2sin∅cos∅=1

=>sin2∅=1

=>sin2∅=sin 90°

=>2∅=90°

=>∅=45°

hope this helps u......

$:\: \underline{\underline{\bf{\large\mathfrak{~hope ~this ~help~you~~}}}}$