Given that the solutions, for 0≤x≤3600 \leq x \leq 3600≤x≤360, of the equation,
cot2x=k \cot^2 x = k cot2x=kare tan−1(12),180−tan−1(12),180+tan−1(12)\displaystyle \tan^{-1}\left(\frac{1}{2}\right), 180-\tan^{-1}\left(\frac{1}{2}\right), 180+\tan^{-1}\left(\frac{1}{2}\right)tan−1(21),180−tan−1(21),180+tan−1(21) and 360−tan−1(12)\displaystyle 360-\tan^{-1}\left(\frac{1}{2}\right)360−tan−1(21), find the value of kkk.
274 exam-style questions on Edexcel A Level Maths Trigonometric Functions, covering 6.1 Secant, Cosecant and Cotangent, 6.2 Graphs of Sec x, Cosec x and Cot x, 6.3 Using Sec x, Cosec x and Cot x, 6.4 Trigonometric Identities, and 6.5 Inverse Trigonometric Functions. Each one has a worked solution and a mark scheme showing where the marks go.