Calculate the expression sin^-1(sin(5pi/3))+tan^-1(tan(2pi/3))?

Expert Answers

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We have to determine the value of sin^-1(sin(5pi/3)) + tan^-1(tan(2pi/3))

sin^-1(sin(5pi/3)) or arc sin (sin (5pi/3)) = 5*pi/3

tan^-1(tan(2pi/3)) or arc tan (tan (2pi/3)) = 2*pi/3

Adding 5*pi/3 and 2*pi/3:

5*pi/3 + 2*pi/3 = 7*pi/3

The result of the expression is 7*pi/3

Approved by eNotes Editorial Team
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