TMUA 2021 Paper 2 Q19 — Worked Solution

P2·Trigonometry, Algebra & Surds·7.5Official · 2021 · Q19

square-root-modulussign-analysiscounting-solutions

The angle

θ

can take any of the values

1^{\circ}, 2^{\circ}, 3^{\circ}, \dots, 35 9^{\circ}, 36 0^{\circ}

.For how many of these values of

θ

is it true that

sin θ 1 + sin θ 1 - sin θ + cos θ 1 + cos θ 1 - cos θ = 0 ?

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