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Question 137Asked in BPSC TRE 2.0 (2023) Mathematics Class 9-10

If tan 2A = cot(A + 60°), where 2A is an acute angle, then the value of A isयदि tan 2A = cot(A + 60°) है, जहाँ 2A एक न्यूनकोण है, तो A का मान है

यदि tan 2A = cot(A + 60°) है, जहाँ 2A एक न्यूनकोण है, तो A का मान है
  1. A10°10°
  2. B20°20°
  3. C60°60°
  4. DMore than one of the aboveउपर्युक्त में से एक से अधिक
  5. ENone of the aboveउपर्युक्त में से कोई नहीं
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Correct answer: (A) 10°10°

Explanation

cot(A + 60°) = tan(90° - A - 60°) = tan(30° - A), so 2A = 30° - A and A = 10°.cot(A + 60°) = tan(90° − A − 60°) = tan(30° − A), अतः 2A = 30° − A और A = 10°।

From BPSC TRE 2.0 (2023) Mathematics Class 9-10 — Previous Year Paper

This is question 137 of BPSC TRE 2.0 (2023) Mathematics Class 9-10 — Previous Year Paper. See all questions of this paper with answers, or attempt the paper as a timed online test to get your score and all-India rank.