Question

SinA + cosA = 1/2 find A​

Answer 1

⭐Solution⭐

➡Given here

SinA+CosA= 1/2 ...(1)

Squaring both sides

(SinA+CosA)² = 1/4

=>[ Sin²A + Cos²A ]+2Sin ACosA= 1/4

we know,

(1) sin²X + Cos ²X = 1,

(2) 2 SinA Cos A = Sin2A

so,

=> 1 +Sin2A = 1/4

=>Sin2A = 1/4 -1

=> Sin2A = (-3/4)

=>2A = Sin ^-1(-3/4)

=>A = 1/2[ Sin^-1(-3/4)]

✨Thats Answer✨