Cambridge International Mathematics

328 Trigonometry (Chapter 15)

2 Point A has coordinates(0: 2588 , 0 :9659).

Without finding the size ofμ, state:

a cosμ b sinμ c tanμ

3 ABC is a right angled isosceles triangle with equal sides

1 unit long.

a Find the exact length of AB.

b Find the exact values of:

i cos 45o ii sin 45o iii tan 45o.

4 P is the point on the unit circle where angle NOP measures 45 o.

a Classify triangle ONP.

b Find the exact lengths of ON and NP.

c State exactly the coordinates of P.

d Find the exact values of:

i cos 45o ii sin 45o iii tan 45o.

5 Using the unit circle shown:

a find the coordinates of points A and B

b find the values of:

i cos 90o ii sin 90o iii tan 90o

c find the values of:

i cos 0o ii sin 0o iii tan 0o.

6 Consider the equilateral triangle ABC with sides of length

2 units.

a Explain why μ=60o and Á=30o.

b Find the length of: i MC ii MB

c Find the exact values of:

i cos 60o ii sin 60o iii tan 60o

d Find the exact values of:

i cos 30o ii sin 30o iii tan 30o

7 P is the point on the unit circle such that angle AOP is 60 o.

a Explain why triangle AOP is equilateral.

b PN is drawn perpendicular to thex-axis. State the exact

length of:

i ON ii PN.

c State the exact coordinates of P.

d Find the exact value of:

i cos 60o ii sin 60o iii tan 60o

e Find the size of ObPN.

f Find the exact value of:

i cos 30o ii sin 30o iii tan 30o

y

O x

A

1

1

q

45°

45°

1

1

AC

B

y

O x

A

1

1

B

90°

y

x

O

A

1

1

P

60°

1

N

AC

B

M

22

f

q

2

y

O x

P

1

1

45°

1

N

IGCSE01

cyan magenta yellow black

(^05255075950525507595)
100 100
(^05255075950525507595)
100 100
Y:\HAESE\IGCSE01\IG01_15\328IGCSE01_15.CDR Tuesday, 7 October 2008 2:13:46 PM PETER