sin-1(sin(2π/3)) + cos-1(cos(7π/6)) + tan-1(tan(3π/4)) is equal to:
sin-1(sin(2π/3)) + cos-1(cos(7π/6)) + tan-1(tan(3π/4)) is equal to:
Option 1 -
11π/12
Option 2 -
17π/12
Option 3 -
31π/12
Option 4 -
3π/4
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1 Answer
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Correct Option - 1
Detailed Solution:sin? ¹ (√3/2) + cos? ¹ (-√3/2) + tan? ¹ (-1)
= π/3 + 5π/6 – π/4
= (4π+10π–3π)/12 = 11π/12
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