UP TGT Mathematics Trigonometry Test Series - Part 3

tan(A + B) is identically equal to:

Type: MCQ • Marks: 1
tan(A + B) is identically equal to:
Options
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 - 1) / (tan A + tan B)
D. (tan A + tan B) / (1 + tan A tan B)
Explanation
Correct Answer: Option 2 ((tan A + tan B) / (1 - tan A tan B)). Compound angle formulas for sin(A+B), cos(A+B), and tan(A+B) govern sum and difference identities along with conditional triangle angle properties (A+B+C = pi).
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