Given that k k\,k is a real constant and k>14\displaystyle k>\frac{1}{4}k>41,
f(x)=3x3+4x2+(3k+1)x+kf(x) = 3x^3 + 4x^2 + (3k + 1)x + kf(x)=3x3+4x2+(3k+1)x+k
Show that (3x+1)(3x + 1)(3x+1) is a factor of f(x)f(x)f(x)
Factorise f(x)f(x)f(x) completely in terms of kkk
Prove that there are no real solutions to 3sec2θ+4secθ+3k+1+kcosθ=03 \sec^2 \theta + 4 \sec \theta + 3k + 1 + k \cos \theta = 03sec2θ+4secθ+3k+1+kcosθ=0
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.