SSC_CPO_PYQ_27_June_2024_S1_Q144

Question:

If sec 6A = cosec (A – 29°), where 2A is an acute angle, then the measure of ∠A = ___°.

यदि sec 6A = cosec (A – 29°) है, जहाँ 2A एक न्यून कोण है, तो ∠A का मान = ___°।

Options:

  • a) 18
  • b) 19
  • c) 17
  • d) 21
  • a) 18
  • b) 19
  • c) 17
  • d) 21

correct answer : c)

Explanation:

sec 6A = cosec (90 – 6A). So cosec (90 – 6A) = cosec (A – 29) => 90 – 6A = A – 29 => 7A = 119 => A = 17°.

sec 6A = cosec (90 – 6A). तो cosec (90 – 6A) = cosec (A – 29) => 90 – 6A = A – 29 => 7A = 119 => A = 17°.

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