Mathematics Methods U4 T2 Trigonometry

Determine the area of the triangle shown. (do not include units)

Determine the size of angle A in the triangle.

• 48.5°

• 61.4°

• 118.6°

• 131.5°

Determine the perimeter of the quadrilateral. (round to 2 d.p., include units)

In the isosceles triangle ABC, angle C is 120° and side a is 4 cm. Calculate the area of the triangle in cm².

Calculate the exact value for sin(150)

• -1/2

Calculate the exact value for cos(150)

•  1/2

• -1/2

Calculate the exact value for tan(150)

• -1/2

In which of the triangles below is the information insufficient to use the sine rule to find θ?

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Two circular pulleys with radii 3 cm and 8 cm have their centres 13 cm apart. Calculate the length of the belt required to pass tightly around the pulleys, giving the answer to 1 decimal place with units.

Two lighthouses are 20 km apart on a north–south line. The northern lighthouse spots a ship on a bearing of S80°E. The southern lighthouse spots the same ship on a bearing of 040°T. Determine the distance from each lighthouse to the ship and add the distances together. Round to 1 d.p. and include units.