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Sine or Cos Rule?. 15cm. 1. ?. 12cm. 30 o. a 2 = b 2 + c 2 – 2bcCos A. Cos A = b 2 + c 2 – a 2. 2bc. a b c . =. =. sinA sinB SinC. 15cm. 2. 30 o. ?. 14cm. a 2 = b 2 + c 2 – 2bcCos A. Cos A = b 2 + c 2 – a 2. 2bc. a b c . =. =.

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Sine or cos rule

15cm

1.

?

12cm

30o

a2 = b2 + c2 – 2bcCos A

Cos A = b2 + c2 – a2

2bc

a b c

=

=

sinA sinB SinC


Sine or cos rule

15cm

2.

30o

?

14cm

a2 = b2 + c2 – 2bcCos A

Cos A = b2 + c2 – a2

2bc

a b c

=

=

sinA sinB SinC


Sine or cos rule

?

3.

50o

600

15cm

a2 = b2 + c2 – 2bcCos A

Cos A = b2 + c2 – a2

2bc

a b c

=

=

sinA sinB SinC


Sine or cos rule

4.

12cm

?

14cm

15cm

a2 = b2 + c2 – 2bcCos A

Cos A = b2 + c2 – a2

2bc

a b c

=

=

sinA sinB SinC


Sine or cos rule

15cm

5.

30o

area?

14cm

a2 = b2 + c2 – 2bcCos A

Cos A = b2 + c2 – a2

2bc

a b c

=

=

sinA sinB SinC


Sine or cos rule

15cm

1.

?

12cm

30o

a2 = b2 + c2 – 2bcCos A

Cos A = b2 + c2 – a2

need 3 sides!

2bc

a b c

=

=

sinA sinB SinC


Sine or cos rule

15cm

2.

30o

?

14cm

a2 = b2 + c2 – 2bcCos A

need 2 sides and angle

Cos A = b2 + c2 – a2

2bc

a b c

=

=

sinA sinB SinC


Sine or cos rule

?

3.

50o

600

15cm

a2 = b2 + c2 – 2bcCos A

need 2 sides and an angle

Cos A = b2 + c2 – a2

2bc

a b c

=

=

sinA sinB SinC


Sine or cos rule

4.

12cm

?

14cm

15cm

a2 = b2 + c2 – 2bcCos A

Cos A = b2 + c2 – a2

2bc

need 3 sides!

a b c

=

=

sinA sinB SinC


Sine or cos rule

15cm

5.

30o

area?

area = ½ ab sinC

14cm

a2 = b2 + c2 – 2bcCos A

Cos A = b2 + c2 – a2

2bc

a b c

=

=

sinA sinB SinC