Question

sin⁻¹(cos π/6) is equal to.......,Select Proper option from the given options.
(a) π/6
(b) π/3
(c) π/2
(d) 3π/2

Answer 1

sin^(-1)[sin{π/2-π/6}],

it will becomes

π/2 - π/6,

(3π-π)/6,

2π/6,

π/3

Answer 2

HELLO DEAR,




GIVEN:-
sin-¹(cosπ/2)


as we know:- cosθ = sin(π/2 - θ)

therefore,

Sin-¹{sin(π/2 - π/6)}

=> π/2 - π/6

=> (6π - 2π)/12

=> 4π/12

=> π/3



HENCE, OPTION (B) IS CORRECT,



I HOPE ITS HELP YOU DEAR,
THANKS