Question

sintheeta-costheeta=1/2 to
(sintheeta+costheeta)=what​

Answer 1

Answer:

sintheeta-costheeta=1/2

sintheeta+costheeta=+✓7/2 (or)

sintheeta+costheeta=-✓7/2

Step-by-step explanation:

Given that sinθ-cosθ=1/2

now squaring both side we have

(sinθ-cosθ) ^2 =1/ 2 ^2

sin ^2 θ+cos ^2 θ-2sinθcosθ=1/4

1-2sinθcosθ=1 /4 (sin ^2 θ+cos^ 2 θ=1)

2sinθcosθ=3/4

consider,

sin ^2 θ+cos ^2 θ+2sinθcosθ= A^2

1+3/4=A^2

7/4=A^2

+✓7/2 = A or -✓7/2 = A