JEE Main 202226 Jun, Morning shiftMathematicsMediumTrigonometry118× since 2002If sin2(10∘)sin(20∘)sin(40∘)sin(50∘)sin(70∘)=α−116sin(10∘){\sin ^2}(10^\circ )\sin (20^\circ )\sin (40^\circ )\sin (50^\circ )\sin (70^\circ ) = \alpha - {1 \over {16}}\sin (10^\circ )sin2(10∘)sin(20∘)sin(40∘)sin(50∘)sin(70∘)=α−161sin(10∘), then 16+α−116 + {\alpha ^{ - 1}}16+α−1 is equal to __________.Your answerType your answer. Integers and decimals are accepted.CheckSkip · show solution