Standard +0.3 This requires applying the tangent subtraction formula, then solving a quadratic equation in tan x. It's a standard multi-step trigonometric equation with straightforward algebraic manipulation, slightly above average due to the formula application and quadratic solving, but still routine for P3 level.
Attempt to use \(\tan(A \pm B)\) formula and obtain an equation in \(\tan x\)
M1
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Obtain 3-term quadratic \(2\tan^2 x + 3\tan x - 1 = 0\), or equivalent
A1
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Solve a 3-term quadratic and find a numerical value of \(x\)
M1
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Obtain answer \(15.7°\)
A1
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Obtain answer \(119.3°\) and no others in the given interval
A1
[5]
[Ignore answers outside the given interval. Treat answers in radians, 0.274 and 2.08, as a misread.]
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Attempt to use $\tan(A \pm B)$ formula and obtain an equation in $\tan x$ | M1 | —
Obtain 3-term quadratic $2\tan^2 x + 3\tan x - 1 = 0$, or equivalent | A1 | —
Solve a 3-term quadratic and find a numerical value of $x$ | M1 | —
Obtain answer $15.7°$ | A1 | —
Obtain answer $119.3°$ and no others in the given interval | A1 | [5]
| [Ignore answers outside the given interval. Treat answers in radians, 0.274 and 2.08, as a misread.] | — | —
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