Question

cos ^-1 (1/2) +sin^ -1 (1/2) tan ^-1 (1/√3) is equal to (a)π (b)π/3 (c)4π/3 (d)3π/4

Answer 1

=cos^-1(1/2)=π/3.....(1)
=sin^-1(1/2)=5π/6........(2). :-{sin150°=1/2}
=tan^-1(1/√3)=π/6.......(3)
eqs.....1+2+3
=π/3+5π/6+π/6
=π(2+5+1)/6
=8π/6
=4π/3.....Answer