Mathematics · 2018
JEE Main · 15 April 2018, Shift 2 · Q90
Consider the following two statements: Statement p: The value of sin 120^° can be derived by taking θ=240^° in the equation 2 sin (θ)/2=√(1+ sin…
Consider the following two statements :Statement p :The value of $\displaystyle \sin 120^{\circ}$ can be derived by taking $\displaystyle \theta=240^{\circ}$ in the equation
$$2 \sin \frac{\theta}{2}=\sqrt{1+\sin \theta}-\sqrt{1-\sin \theta} .
$$Statement q :
The angles A, B, C and D of any quadrilateral ABCD satisfy the equation
$$\cos \left(\frac{1}{2}(\mathrm{~A}+\mathrm{C})\right)+\cos \left(\frac{1}{2}(\mathrm{~B}+\mathrm{D})\right)=0
$$
Then the truth values of p and q are respectively :
Official answer
(1)
F, T
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JEE Main 2018 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.