Consider the following two statements: Statement p: The value of sin 120^(o) can be derived by taking θ = 240^(o) in the equation 2sin (θ)/2 = √(1 + sin θ) - √(1 - sin θ) Statement q: The angles A, B, C and D of any quadrilateral ABCD satisfy the equation cos (1/2(A + C)) + cos (1/2(B + D)) = 0 Then the truth values of p and q are respectively:

Mathematical Reasoning: JEE Main 2018 Mathematics question

JEE Main 2018 · 15 Apr, Evening shift · Q4406

JEE Main 201815 Apr, Evening shiftMathematicsMediumMathematical Reasoning115× since 2008

Consider the following two statements : Statement p : The value of sin 120^o can be derived by taking

\theta = {240^o}

in the equation 2sin

{\theta \over 2} = \sqrt {1 + \sin \theta } - \sqrt {1 - \sin \theta }

Statement q : The angles A, B, C and D of any quadrilateral ABCD satisfy the equation cos

\left( {{1 \over 2}\left( {A + C} \right)} \right) + \cos \left( {{1 \over 2}\left( {B + D} \right)} \right) = 0

Then the truth values of p and q are respectively :

JEE Main 2018 Mathematical Reasoning Question with Solution (15 Apr Evening shift, Q4406) | JEE Arc