Necessary /Sufficient - Trigo
Geometry
Level
4
Consider the following two statements:
P: \(\sqrt { 1+ \sin{ \theta } } =a\)
Q: \(\sin { \cfrac { \theta }{ 2 } } +\cos { \cfrac { \theta }{ 2 } } =a\)
Which of the following statements is true?
(A) P is necessary and sufficient for Q.
(B) P is necessary but not sufficient for Q.
(C) P is sufficient but not necessary for Q.
(D) P is neither necessary nor sufficient for Q.
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by
Soumo Mukherjee