Solve, for 0≤x≤3600 \leq x \leq 3600≤x≤360, the equation,
sec2x+5secx+k=0 \sec^2 x + 5 \sec x + k = 0 sec2x+5secx+k=0where 4<k<64<k<64<k<6.
Give your answers in terms 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.