TMUA Practice Question — Worked Solution

P1·Trigonometry·7.0Mock 0 · P1 · Q20

sin θ + cos θrestricted rangequadratic vertexleast valueparametersymmetry trap

In this question,

k

is a positive constant.Find the complete set of values of

k

for which the least value of

(1 + k sin θ) (1 + k cos θ),

taken over all real values of

θ

, is attained at an angle

θ

for which

sin θ = cos θ

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