SSC_CPO_Similar_10_Dec_2025_S1_Q103

Question:

If tan x = cot(2x − 15°), find x.

यदि tan x = cot(2x − 15°), तो x ज्ञात कीजिए।

Options:

  • a) 30°
  • b) 35°
  • c) 22.5°
  • d) 27°
  • a) 30°
  • b) 35°
  • c) 22.5°
  • d) 27°

correct answer : b)

Explanation:

tan A = cot B implies A + B = 90°. So, x + 2x – 15° = 90° => 3x = 105° => x = 35°.

tan A = cot B का अर्थ है A + B = 90°. इसलिए, x + 2x – 15° = 90° => 3x = 105° => x = 35°.

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