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1.8.6 Compound and double angle formulae (A-level only)

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Question 24
a.

Show that the equation

10cos⁡θ=3cosec⁡θ 10 \cos \theta = 3 \operatorname{cosec} \theta 10cosθ=3cosecθ

can be written in the form

sin⁡2θ=k \sin 2\theta = k sin2θ=k

where kkk is a constant to be found.

[3]
b.

Hence find the smallest positive solution of the equation

10cos⁡θ=3cosec⁡θ 10 \cos \theta = 3 \operatorname{cosec} \theta 10cosθ=3cosecθ

giving your answer, in degrees, to one decimal place.

[2]

1.8.6 Compound and double angle formulae (A-level only) Questions

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