Circular Measure (Radians) (CIE AS Maths: Pure 1)

Exam Questions

2 hours28 questions

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5 marks

Without using a calculator, write down:

(i)

60° in radians,

(ii)

sin $45 °$

(iii)

tan $π$

(iv)

$\frac{5 π}{6}$ radians in degrees

(v)

cos

0

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Degrees	Radians	sin	cos	tan
	$\frac{π}{6}$		$\frac{\sqrt{3}}{2}$
45°			$\frac{1}{\sqrt{2}}$
60°	$\frac{π}{3}$
	$\frac{2 π}{3}$	$\frac{\sqrt{3}}{2}$
270°				n/a

Degrees	Radians	sin	cos	tan
	$\frac{π}{6}$		$\frac{\sqrt{3}}{2}$
135°		$\frac{1}{\sqrt{2}}$
180°				0
		$- \frac{1}{2}$	$\frac{\sqrt{3}}{2}$

Degrees	Radians	sin	cos	tan
45°	$\frac{\sqrt{π}}{4}$
150°		$\frac{1}{2}$
	$\frac{7 π}{4}$			-1

Circular Measure (Radians) (CIE AS Maths: Pure 1)

Exam Questions

1. Algebra & Functions

1.1 Quadratics

1.2 Inequalities & Simultaneous Equations

1.3 Functions

1.4 Graphs of Functions

1.5 Transformations of Functions

1.6 Combinations of Transformations

1.7 Modelling with Functions

2. Coordinate Geometry

2.1 Equation of a Straight Line

2.2 Circles

3. Trigonometry

3.1 Basic Trigonometry

3.2 Trigonometric Functions

3.3 Circular Measure (Radians)

3.4 Trigonometric Equations

3.5 Modelling with Trigonometric Functions

4. Sequences & Series

4.1 Binomial Expansion

4.2 Arithmetic Progressions

4.3 Geometric Progressions

4.4 Further Sequences & Series

5. Differentiation

5.1 Differentiation

5.2 Applications of Differentiation

6. Integration

6.1 Integration

6.2 Further Integration