If x, y, z are in A.P. and tan ⁻¹x, tan ⁻¹y and tan ⁻¹z are also in A.P., then:

Trigonometry: JEE Main 2013 Mathematics question

JEE Main 2013 · Session, Shift 1 · Q4087

JEE Main 2013Session, Shift 1MathematicsMediumTrigonometry118× since 2002

x, y, z

are in A.P. and

{\tan ^{ - 1}}x,{\tan ^{ - 1}}y

and

{\tan ^{ - 1}}z

are also in A.P., then :

JEE Main 2013 · Session, Shift 1 · Q4087

JEE Main 2013Session, Shift 1MathematicsMediumTrigonometry118× since 2002

x, y, z

are in A.P. and

{\tan ^{ - 1}}x,{\tan ^{ - 1}}y

and

{\tan ^{ - 1}}z

are also in A.P., then :