Standard +0.3 This question requires applying the double angle formula (sin 2θ = 2sin θ cos θ) and tan θ = sin θ/cos θ, then algebraic manipulation to reach a quadratic in sin θ or cos θ. While it involves multiple steps and careful handling of the domain restriction, it's a fairly standard application of double angle formulae without requiring novel insight—slightly easier than average due to being a routine technique-based problem.
Simplify to obtain form \(c_1\sin^2\theta = c_2\) or equivalent
M1
Find at least one value of \(\theta\) from equation of form \(\sin\theta = k\)
M1
Obtain \(35.3°\) and \(144.7°\)
A1 [4]
Use $\sin 2\theta = 2\sin\theta\cos\theta$ | B1 |
Simplify to obtain form $c_1\sin^2\theta = c_2$ or equivalent | M1 |
Find at least one value of $\theta$ from equation of form $\sin\theta = k$ | M1 |
Obtain $35.3°$ and $144.7°$ | A1 [4] |