Moderate -0.3 This is a straightforward trigonometric equation requiring knowledge of the tan function's periodicity and the double angle. Students need to find 2θ values in the appropriate range, then divide by 2, but no complex manipulation or insight is required—slightly easier than average due to its routine nature.
or \(1.24(9045772\ldots)\) (rad) or \(79.5(1672353\ldots)\) (grad)
\(35.7\) to \(36\)
A1
if A0, SC1 for all four answers in radians or grad r.o.t. to 3 or more sf: \(0.62452286, 2.19531213, 3.76611554, 5.336911867\) (rad), but 0 if extra values in range
\(125.78\ldots, 215.78\ldots, 305.78\ldots\) to 3 or more sf
A1
if M1A0A0, SC1 for \(251.565\ldots, 431.565\ldots, 611.565\ldots\); for second A1, ignore extra values outside range, A0 if extra values in range
Total: [3]
$71.5(6505118\ldots)$ soi | M1 | or $1.24(9045772\ldots)$ (rad) or $79.5(1672353\ldots)$ (grad)
$35.7$ to $36$ | A1 | if A0, SC1 for all four answers in radians or grad r.o.t. to 3 or more sf: $0.62452286, 2.19531213, 3.76611554, 5.336911867$ (rad), but 0 if extra values in range
$125.78\ldots, 215.78\ldots, 305.78\ldots$ to 3 or more sf | A1 | if M1A0A0, SC1 for $251.565\ldots, 431.565\ldots, 611.565\ldots$; for second A1, ignore extra values outside range, A0 if extra values in range
**Total: [3]**
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