Find the value of cosec(75° + x) – sec(15° - x) + tan(55° + x) �

1.	Find the value of cosec(75° + x) – sec(15° - x) + tan(55° + x) – cot(35° - x)1. 12. 03. 24. 1/2
Answer» 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

Find the value of cosec(75° + x) – sec(15° - x) + tan(55° + x) – cot(35° - x)1. 12. 03. 24. 1/2

Answer» 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