CAIE IGCSE Mathematics Core C6.2.1 Know and Use the Sine Cosine and Tangent Ratios for Acute Angles in Questions

Practise Core CAIE IGCSE Mathematics by choosing and applying trigonometric ratios in acute-angle right triangles.

Exam points

Use sine, cosine and tangent ratios to find missing sides in right-angled triangles.
Choose the appropriate trigonometric ratio from the given sides and angle.
Use inverse trigonometric reasoning or rearrangement to solve acute-angle problems.

[Maximum number: 7]

(a)

NOT TO SCALE

ABC is a right-angled triangle.

Calculate BC.
$BC=\quad\mathrm{cm}$

[ 3 ]

8.4
M2 for $9.1^2-3.5^2$ oe or better
or M1 for $BC^2+3.5^2=9.1^2$ oe or better

(b)

$\triangle E F$ is a right-angled triangle.

Calculate EF.

E F=\ldots \ldots \ldots \ldots \ldots \ldots \ldots \ldots \ldots \ldots \ldots \ldots \ldots \ldots \ldots \ldots \ldots . . . c m ~[2]

[ 2 ]

6.88 to 6.881

2

M1 for $\cos 35=\frac{[\ldots]}{8.4}$ oe or better
or $\sin 55=\frac{[\ldots]}{8.4}$ oe or better

(c)

JKL is a right-angled triangle.

NOT TO SCALE

Calculate angle JKL.

[ 2 ]

$51.3[4 \ldots]$

2

M1 for $\tan [\ldots=] \frac{10}{8}$ oe or better

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