Moderate -0.8 This is a straightforward application of inverse tan to solve tan(2θ)=3, then dividing by 2 and finding all solutions in the given range. It requires only routine manipulation of a double angle and basic understanding of tan periodicity, making it easier than average with minimal problem-solving demand.
or 1.24(9045772..) (rad) or 79.5(1672353..) (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, 2.195319213, 3.76611554, 5.336911867 (rad), but 0 if extra values in range; 39.75836177..., 139.75..., 239.75..., 339.75...(grad)
125.78..., 215.78..., 305.78... to 3 or more sf
A1
if M1A0A0, SC1 for 251.565..., 431.565..., 611.565...; for second A1, ignore extra values outside range, A0 if extra values in range
## Question 4:
| Answer/Working | Mark | Guidance |
|---|---|---|
| $71.5(6505118..)$ soi | M1 | or 1.24(9045772..) (rad) or 79.5(1672353..) (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, 2.195319213, 3.76611554, 5.336911867 (rad), but 0 if extra values in range; 39.75836177..., 139.75..., 239.75..., 339.75...(grad) |
| 125.78..., 215.78..., 305.78... to 3 or more sf | A1 | if M1A0A0, SC1 for 251.565..., 431.565..., 611.565...; for second A1, ignore extra values outside range, A0 if extra values in range |
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