SSC CPO 2024 PYQ — Question 125

SSC CPO - 29 June 2024 Shift 2 • Quantitative Aptitude • Q125

Simplify: tan71°+tan19°1−tan71°tan19°tan71°+ tan19°\over 1-tan71°tan19°

Show answer & explanation

Correct answer: C

Explanation

The correct answer is option 3 i.e. Not defined.

tan(A + B) =  tanA+tanB1−tanAtanBtanA+ tanB\over 1-tanAtanB

According to the given question,

tan71°+tan19°1−tan71°tan19°tan71°+ tan19°\over 1-tan71°tan19° = tan(71° + 19°)

⇒ tan 90° = Not defined

Hence the required answer is Not defined.