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COMEDK2017MathematicsInverse Trigonometric Functions

If in a A B C, C= 2 , then ⁻¹ ( a b+c )+ ⁻¹ ( b c+a )=

Options

  1. A4
  2. B2
  3. C3
  4. DNone of these

Correct answer

A. 4

Step-by-step solution

Given, C= 2 c²=a²+b² by pythagoras Now, ⁻¹ ( a b+c )+ ⁻¹ ( b c+a )= ⁻¹ [ a b+c + b c+a 1- ( a b+c ) ( b c+a ) ]= ⁻¹ [ a c+a²+b²+b c b c+b a+c²+c a-a b ) = ⁻¹ ( a c+c²+b c b c+c²+c a )= ⁻¹(1)= 4

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