Question

If sin30=xand cos 60 =y then x2+y2 is

Answer 1

Answer:

x2+y2 = 1/2

Step-by-step explanation:

• Given that
• sin30 = x -------(1). cos60 = y --------(2)

• x2+y2 = ?

• we know that ---

x2 + y2 +2xy = (x+y)2

• x2 + y2 = (x+y)2 -2xy

so from equation (1) & (2) ,

• = (sin30 + cos60)2 - 2× sin30 × cos60
• = (1/2 + 1/2 )2 - 2 × 1/2 × 1/2
• = 1 - 1/2
• = 1/2......Answer

x2+y2 = 1/2 .. ans.