Question

solve for x : Sinx + Cosx= 1​

Answer 1

Step-by-step explanation:

Sinx + Cosx= 1

=> (Sinx + Cosx)^2 = 1^2 [squaring both sides]

=> Sin^2 x + Cos^2 x + 2 × Sinx × Cosx = 1

=> 1 + Sin2x = 1

=> Sin2x = 1-1 =0

=> Sin2x = Sin(nπ) [n=0,1,2,3,...]

=> 2x = nπ

=> x = nπ/2