Question

मान ज्ञात कीजिए:

`tan (sin^-1 1 - cos^-1(- 1/2))`

Answer 1

`tan (sin^-1 1 - cos^-1(-1/2))`

`sin^-1 1 = π/2`

`cos^-1(-1/2) = (2π)/3`

अतः,

`tan (π/2 - (2π)/3) = tan (- π/6)`

`tan (- π/6) = -1/sqrt3`