Trigonometry

Sine Rule

100

To use the sine rule I must have at least two_______?

Angles

200

In the sine rule, each angle must be opposite to a _______

Side

300

State the sine rule Formula

a/Sin(A) = b/sine(B) = c/sin(C)

400

Find A, where a = 30^o, B = 12 and b = 135^o

8.5

500

Find x, where x is opposite an angle of 50^o, and a known side 10 is opposite an angle of 70^o

8.15

Cosine Rule

100

To use the Cosine rule we must have at least ______

Two sides

200

The angle key angle must be between the _____

two known sides

300

State the cosine rule

a² = b² + c²-2(b)(c)Cos(A)

400

Solve for x in a triangle that has an angle of 110^o, in between two sides of 30 and 12, with x being the side opposite the known angle.

35.92

500

Find theta, where theta is between known sides 3 and 4 and opposite to a side of length 6

117^o

Area formula

100

To use the area formula we must have at least two ____

Sides

200

The known angle must always be inbetween ____

the two sides

300

State the area formula

A = 1/2 ABsin(c)

400

Find the area of a triangle that has an angle of 50^o, in between two known sides of 6cm and 8cm. 

18.4cm²

500

Find the area of a triangle that has an angle of 135^o, in between two known sides of 3cm and 4cm. Answer in exact form.

3 Root (2)