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Practise

Question bank

Original exam-style questions, mapped to your syllabus. Answers are checked for mathematical equivalence and every attempt updates your mastery.

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14 questions

SA-9709-P1-TR3-0011 markL1 FoundationCalculatorPrincipal values

Find the exact value of

\tan^{-1}(-1)

in radians.

Salam Academy Original Practice · Proposed mark scheme

SA-9709-P1-TR3-0031 markL1 FoundationCalculatorPrincipal values

State the value of

\sin^{-1}1

in degrees.

Salam Academy Original Practice · Proposed mark scheme

SA-9709-P1-TR3-0041 markL1 FoundationCalculatorDomain and range

The range of

y=\tan^{-1}x

is

Salam Academy Original Practice · Proposed mark scheme

SA-9709-P1-TR3-0051 markL1 FoundationCalculatorDomain and range

The domain of

y=\sin^{-1}x

is

Salam Academy Original Practice · Proposed mark scheme

SA-9709-P1-TR3-G012 marksL1 FoundationCalculatorPrincipal values

Find the exact values, in radians, of

\sin^{-1}\dfrac{\sqrt3}{2}

and

\cos^{-1}0

.

Salam Academy Original Practice · Proposed mark scheme

SA-9709-P1-TR3-Q011 markL1 FoundationCalculatorPrincipal values

\sin^{-1}(\sin150^\circ)

is

Salam Academy Original Practice · Proposed mark scheme

SA-9709-P1-TR-Q031 markL1 FoundationCalculatorPrincipal values

The principal values of

\cos^{-1}x

lie in the interval

Salam Academy Original Practice · Proposed mark scheme

SA-9709-P1-TR-0122 marksL2 StandardCalculatorPrincipal values

Find the exact values, in radians, of

\sin^{-1}\left(-\tfrac12\right)

and

\cos^{-1}\left(-\tfrac12\right)

.

Salam Academy Original Practice · Proposed mark scheme

SA-9709-P1-TR3-0021 markL2 StandardCalculatorPrincipal values

Find the exact value of

\cos^{-1}\left(-\dfrac{\sqrt3}{2}\right)

in radians.

Salam Academy Original Practice · Proposed mark scheme

SA-9709-P1-TR3-0062 marksL2 StandardCalculatorCombining

Find the exact value of

\sin\left(\cos^{-1}\dfrac35\right)

.

Salam Academy Original Practice · Proposed mark scheme

SA-9709-P1-TR3-0072 marksL2 StandardCalculatorCombining

Find the exact value of

\tan\left(\sin^{-1}\dfrac12\right)

.

Salam Academy Original Practice · Proposed mark scheme

SA-9709-P1-TR3-0081 markL2 StandardCalculatorCombining

Solve

\sin^{-1}x=\dfrac{\pi}{6}

.

Salam Academy Original Practice · Proposed mark scheme

SA-9709-P1-TR3-0092 marksL3 ExamCalculatorCombining

Solve

2\cos^{-1}x=\pi

.

Salam Academy Original Practice · Proposed mark scheme

SA-9709-P1-TR3-0103 marksL5 ExtensionCalculatorCombining

Find, in radians, the exact values of (a)

\cos^{-1}\left(\cos\dfrac{5\pi}{3}\right)

and (b)

\sin^{-1}\left(\sin\dfrac{3\pi}{4}\right)

.

Salam Academy Original Practice · Proposed mark scheme