Mathematics Hard css pms fpsc

What is tan(A+B) equal to?

  • A (tan A + tan B)/(1 - tan A·tan B)
  • B (tan A - tan B)/(1 + tan A·tan B)
  • C tan A × tan B
  • D tan A + tan B
Correct Answer: Option A — (tan A + tan B)/(1 - tan A·tan B)
Explanation: tan(A+B) = (tan A+tan B)/(1-tan A·tan B). This compound angle formula is derived from sin(A+B)/cos(A+B). Compound angle formulas for sin cos and tan are essential for solving equations and proving identities. They appear in CSS PMS and engineering entrance exams requiring higher trigonometric manipulation.
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