Question

Find the value of cos-1 (cos 2pi / 3 ) + sin-1 ( sin 2pi/3 )

Answer 1

Cos inv. ( cos2pi/3) + sin inv. (sin 2pi/3) = cos inv. (cos 2pi/3) + sin inv. (sin pi - pi/3) =. 2pi/3 + sininv. ( sin pi/3) = 2pi/3 + pi/3 = pi.

Answer 2

Answer:

Cos⁻¹ ( cos 2π/3) + sin⁻ ¹ (sin 2π/3)

= cos ⁻¹ (cos 2π/3) + sin ⁻¹ (sin π - π/3)

= 2π/3 + sin ⁻¹ ( sin π/3)

= 2π/3 + π/3

= π.

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