Question

Evaluate sin⁻¹ [sin $(\frac{5\pi}{6})$]

Answer 1

Answer:

∏/6

Step by step solution:

Formula used:

sin⁻¹ [sin (x)] = x

sin (∏ - ∅) = sin∅

Now,

sin⁻¹ [sin (5∏/6)]

= 5∏/6

Also,

sin⁻¹ [sin (∏- (∏/6))]

= sin⁻¹ [sin (∏/6))]

= ∏/6

But the principal value is ∏/6