jee-main 2021 Q64

jee-main · India · session1_25feb_shift2 Addition & Double Angle Formulae Trigonometric Equation Solving via Identities

If $0 < x , y < \pi$ and $\cos x + \cos y - \cos ( x + y ) = \frac { 3 } { 2 }$, then $\sin x + \cos y$ is equal to:
(1) $\frac { 1 } { 2 }$
(2) $\frac { \sqrt { 3 } } { 2 }$
(3) $\frac { 1 - \sqrt { 3 } } { 2 }$
(4) $\frac { 1 + \sqrt { 3 } } { 2 }$

If $0 < x , y < \pi$ and $\cos x + \cos y - \cos ( x + y ) = \frac { 3 } { 2 }$, then $\sin x + \cos y$ is equal to:\\
(1) $\frac { 1 } { 2 }$\\
(2) $\frac { \sqrt { 3 } } { 2 }$\\
(3) $\frac { 1 - \sqrt { 3 } } { 2 }$\\
(4) $\frac { 1 + \sqrt { 3 } } { 2 }$

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