If $$\left| \cos \,\theta \,\left\{ \sin \theta +\sqrt{{{\sin }^{2}}\theta +{{\sin }^{2}}\alpha } \right\}\, \right|\,\le k,$$ then the value of k is

Question

TuteeHUB · Accepted Answer

$$\sqrt{2+{{\sin }^{2}}\alpha }$$

TuteeHUB · Answer

$$\sqrt{1+{{\cos }^{2}}\alpha }$$

TuteeHUB · Answer

$$\sqrt{1+{{\sin }^{2}}\alpha }$$

TuteeHUB · Answer

$$\sqrt{2+{{\cos }^{2}}\alpha }$$

1.	If \[\left\| \cos \,\theta \,\left\{ \sin \theta +\sqrt{{{\sin }^{2}}\theta +{{\sin }^{2}}\alpha } \right\}\, \right\|\,\le k,\] then the value of k is
A.	\[\sqrt{1+{{\cos }^{2}}\alpha }\]
B.	\[\sqrt{1+{{\sin }^{2}}\alpha }\]
C.	\[\sqrt{2+{{\sin }^{2}}\alpha }\]
D.	\[\sqrt{2+{{\cos }^{2}}\alpha }\]
Answer» C. \[\sqrt{2+{{\sin }^{2}}\alpha }\]

If \[\left| \cos \,\theta \,\left\{ \sin \theta +\sqrt{{{\sin }^{2}}\theta +{{\sin }^{2}}\alpha } \right\}\, \right|\,\le k,\] then the value of k is