The solutions, for 0≤x≤3600 \leq x \leq 3600≤x≤360, of the equation,
tan2x+asecx−2=0 \tan^2x + a\sec x - 2 = 0 tan2x+asecx−2=0where a a\,a is a constant, are x=102.4∘x=102.4^\circx=102.4∘ and x=257.6∘x=257.6^\circx=257.6∘, correct to 1 decimal place.
Find the value of aaa.
Give your answer to 1 decimal place.
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.