TMUA Practice Question — Worked Solution

P2·Trigonometry·7.0Mock 0 · P2 · Q20

trig inequalitysin^2 + cos^2 = 1perfect squarequadratic in tancounterexample

Consider the following statements about an angle

θ

with

0 < θ < \frac{π}{2}

sin θ (5 cos θ - 5 sin θ) \leq 1

sin θ (4 cos θ - 3 sin θ) \leq 1

III

sin θ (5 cos θ - sin θ) \leq 2

Which of the statements must be true for every such

θ

Discussion

No discussions yet. Stuck, or want to share an approach? Start the first one.