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General solutions of circular equations and interval extraction

DIFFICULTYintrostandardchallengeexam
QUESTION TYPEMix of allChange
write-basic:sin:identity:onewrite-basic:sin:identity:halfwrite-basic:sin:identity:sqrt-halfwrite-basic:sin:identity:sqrt3-halfwrite-basic:cos:identity:onewrite-basic:cos:identity:halfwrite-basic:cos:identity:sqrt-halfwrite-basic:cos:identity:sqrt3-halfwrite-basic:tan:identity:sqrt3-over-3write-basic:tan:identity:onewrite-basic:tan:identity:sqrt3NOWMix of allRecommended
Question 1 of 8

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Write the general solution of the circular equation

\[\cos\left(θ\right)=\frac{\sqrt{3}}{2}\]

All angles are measured in radians, so each exact angle below is written as a coefficient of π

(a)1 mark

Which displayed family gives all the solutions of the equation?

(b)2 marks

Enter the exact coefficients of the period and base angle, each as a coefficient of π