Mathematics, 21.09.2021 20:50, joshajgaa

2.(a) Express √2 cos x - √5 sin x in the form R cos(x + α), where R > 0 and 0° < α < 90°. Give the exact value of R and the value of a correct to 3 decimal places.
[3]
(b) Hence solve the equation √2 cos 2θ - √5 sin 2θ = 1, for 0° < θ < 180°.
[4]

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2.(a) Express √2 cos x - √5 sin x in the form R cos(x + α), where R > 0 and 0° < α < 90°. G...