If sin θ + cos θ = 1/2, then 16(sin(2 θ) + cos(4 θ) + sin(6 θ)) is equal to:

Trigonometry: JEE Main 2021 Mathematics question

JEE Main 2021 · 27 Jul, Morning shift · Q5655

JEE Main 202127 Jul, Morning shiftMathematicsMediumTrigonometry118× since 2002

\sin \theta + \cos \theta = {1 \over 2}

, then 16(sin(2

\theta

) + cos(4

\theta

) + sin(6

\theta

)) is equal to :

JEE Main 2021 · 27 Jul, Morning shift · Q5655

JEE Main 202127 Jul, Morning shiftMathematicsMediumTrigonometry118× since 2002

\sin \theta + \cos \theta = {1 \over 2}

, then 16(sin(2

\theta

) + cos(4

\theta

) + sin(6

\theta

)) is equal to :