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COMEDK2024Evening ShiftMathematicsInverse Trigonometric FunctionsActual

Evaluate: ⁻¹ ( 35 18 )- ⁻¹ ( 35 18 )

Options

  1. A9
  2. B0
  3. C18

Correct answer

A. 9

Step-by-step solution

The expression is ⁻¹ ( 35 18 )- ⁻¹ ( 35 18 ) . First, simplify the argument 35 18 as 2 - 18 . For the cosine term: ⁻¹ ( (2 - 18 ) ) = ⁻¹ ( 18 ) = 18 , since 18 [0, ] . For the sine term: ⁻¹ ( (2 - 18 ) ) = ⁻¹ ( (- 18 ) ) = - 18 , since - 18 [- 2 , 2 ] . Substituting these values back into the expression: 18 - (- 18 ) = 18 + 18 = 2 18 = 9 . Answer: 9

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