Question

sin 0 - cos0=1/2 , the value of sin0+ cos will be​

Answer 1

Answer:

sin θ - cos θ = $\frac{1}{2}$

On squaring both sides,

(sin θ - cos θ)² = (1/2)²

sin²θ + cos²θ -2sinθ cosθ = $\frac{1}{4}$

1 - 2sinθ cosθ = $\frac{1}{4}$

2sinθ cosθ = 1- $\frac{1}{4}$

2sinθ cosθ= $\frac{3}{4}$

1 + 2sin θcos θ = 1 + 3/4 =7/4

sin θ + cos θ = √(7/4) = √7/2.

Hence, Option B is correct!!