CAIE A-Level Mathematics 1.5.3 Inverse trig notation

CAIE A-Level Mathematics 1.5.3 Inverse trig notation
Cambridge International AS & A Level Mathematics 9709 syllabus for exams in 2028, 2029 and 20302028–2030

Practise interpreting sin^-1, cos^-1 and tan^-1 as principal inverse values when solving equations or finding exact constants.

How this is tested

  • translate inverse trig equations into ordinary trig statements before solving for the variable

Question 2(a)

[Maximum number: 2]

Solve the equation tan⁡−1(5x−3)=−14π\tan ^{-1}(5 x-3)=-\frac{1}{4} \pi.