Consider the following two statements : Statement p: The value of sin120∘ can be derived by taking θ=240∘ in the equation 2sinθ2=√1+sinθ−√1−sinθ Statement q: The angles A,B,C and D of any quadrilateral ABCD satisfy the equation cos(12(A+C))+cos(12(B+D))=0 Then the truth values of p and q are respectively:

Consider the following two statements : Statement p: The value of sin1

1.	Consider the following two statements : Statement p: The value of sin120∘ can be derived by taking θ=240∘ in the equation 2sinθ2=√1+sinθ−√1−sinθ Statement q: The angles A,B,C and D of any quadrilateral ABCD satisfy the equation cos(12(A+C))+cos(12(B+D))=0 Then the truth values of p and q are respectively:
Answer» Consider the following two statements : $S t a t e m e n t p :$ The value of $sin 120^{\circ}$ can be derived by taking $θ = 240^{\circ}$ in the equation $2 sin \frac{θ}{2} = \sqrt{1 + sin θ} - \sqrt{1 - sin θ}$ $S t a t e m e n t q :$ The angles $A, B, C$ and $D$ of any quadrilateral $A B C D$ satisfy the equation $cos (\frac{1}{2} (A + C)) + cos (\frac{1}{2} (B + D)) = 0$ Then the truth values of $p$ and $q$ are respectively: