SOH CAH TOA
Exact Values
Sine Rule
Cos Rule
Area and Applications
100

In a right triangle, the opposite side is 6 cm and the hypotenuse is 10 cm. What is sin θ?

0.6

100

What is sin 30°?

1/2

100

Complete the sine rule: a / sin A = ?

b / sin B = c / sin C

100

If two sides and the included angle are given, which formula can we use to find the third side?

c^2=a^2+b^2−2abcosC

100

If two sides and the included angle are given, Which formula can calculate the area of triangle?

Area = 1/2 ab sin C

200

Find x: x is opposite a 35° angle, and the hypotenuse is 12 cm.

6.9 cm

200

What is cos 60° + sin 30°?

1

200

In triangle ABC, A = 40°, B = 65°, and a = 8 cm. Find b.

11.3 cm

200

Two sides are 7 cm and 10 cm with an included angle of 60°. Find the third side.

8.9 cm

200

A right triangle has base 9 cm and height 12 cm. Find the area.

54 cm²

300

Find θ if the opposite side is 7 cm and the adjacent side is 10 cm.

35.0°

300

What is tan 45° + cos 0°?

2

300

In triangle ABC, A = 50°, B = 70°, and a = 12 cm. Find C and b.

C = 60°, b = 14.7 cm

300

A triangle has sides 6 cm, 9 cm and 11 cm. Find the angle opposite the 11 cm side.

A triangle has sides 6 cm, 9 cm and 11 cm. Find the angle opposite the 11 cm side.

300

Find the area of a triangle with sides 10 cm and 14 cm and included angle 38°.

43.1 cm²

400

A 5 m ladder leans against a wall. The angle with the ground is 68°. How high up the wall does the ladder reach?

4.6 m

400

Simplify: sin 60° ÷ cos 30°

1

400

In triangle ABC, A = 35°, a = 9 cm, and b = 12 cm. Find the possible values of B.

49.9° or 130.1°

400

Two sides are 8 cm and 13 cm with an included angle of 115°. Find the third side

17.9 cm

400

Find the area of a triangle with sides 8 cm and 11 cm and included angle 72°.

41.8 cm²

500

A right triangle has hypotenuse 17 cm and adjacent side 8 cm. Find the opposite side and θ.

Opposite = 15 cm, θ = 61.9°

500

Evaluate: 4sin30° + 2cos60° − tan45°

2

500

In a triangle, the side opposite 73° is 18 cm. Find the side opposite 48°.

14.0 cm

500

A triangle has sides 5 cm, 7 cm and 10 cm. Find the largest angle.

111.8°

500

In triangle ABC, AB = 12 cm, AC = 15 cm, and angle B = 55°. Find the area of the triangle.

89.5 cm²

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