Page No.Ifb=Cos Ot sino = J2J2and(sino tcoso) thensino.cosoequal toB)

1.	Page No.Ifb=Cos Ot sino = J2J2and(sino tcoso) thensino.cosoequal toB) 2bis673D) 4
Answer» Let theta = xcos x + sin x = root(2)Squaring both sides (cosx + sinx)^2 = 2cos^2 x + sin^2 x + 2sinx.cosx = 21 + 2sinx.cosx = 22sinx.cosx = 2 - 1sinx.cosx = 1/2............(2) Therefore, Value of b = root(2)[cosx + sinx]/ sinx.cosx Using eq(1) & eq(2) = root(2)root(2)/ (1/2) = 2*2 = 4 (D) is correct option

Page No.Ifb=Cos Ot sino = J2J2and(sino tcoso) thensino.cosoequal toB) 2bis673D) 4

Answer»

Let theta = xcos x + sin x = root(2)Squaring both sides

(cosx + sinx)^2 = 2cos^2 x + sin^2 x + 2sinx.cosx = 21 + 2sinx.cosx = 22sinx.cosx = 2 - 1sinx.cosx = 1/2............(2)

Therefore, Value of b = root(2)*[cosx + sinx]/ sinx.cosx

Using eq(1) & eq(2)

= root(2)*root(2)/ (1/2)

= 2*2 = 4

(D) is correct option