Correct Answer - Option 2 : 0
Concept used:
cosec(90° – x) = sec x
tan(90° – x) = cot x
Calculation:
⇒ cosec(75° + x) – sec(15° – x) + tan(55° + x) – cot(35° – x)
⇒ cosec[90° – (15° - x)] – sec(15° – x) + tan[90° – (35° – x)] – cot(35° – x)
⇒ sec(15° – x) – sec(15° – x) + cot(35° – x) – cot(35° – x)
⇒ 0 + 0 = 0
∴ The value of cosec(75° + x) – sec(15° – x) + tan(55° + x) – cot(35° – x) is 0
