P1.3 - Trigonometry

The sine and cosine rules, and the Including the ambiguous case of the sine rule. area of a triangle in the form 1 ab sin C.

Use sine rule, cosine rule and triangle area to connect the rule to the data and decision in the question.

This matters because sine rule, cosine rule and triangle area determines what can be inferred or chosen; begin with the stated conditions and keep the conclusion tied to the evidence.

Example: apply sine rule, cosine rule and triangle area to one small, clearly defined case, show the key step or comparison, and explain the result in words.

Boundary: Sine rule, cosine rule and triangle area is not a universal recommendation. Check the syllabus scope, assumptions, units and the limits of the evidence before generalising.

Radian measure, including use for Use of the formulae s = rθ and A = 1 r2θ. arc length and area of sector.

Use radian measure, to connect the rule to the data and decision in the question.

This matters because radian measure, determines what can be inferred or chosen; begin with the stated conditions and keep the conclusion tied to the evidence.

Example: apply radian measure, to one small, clearly defined case, show the key step or comparison, and explain the result in words.

Boundary: Radian measure, is not a universal recommendation. Check the syllabus scope, assumptions, units and the limits of the evidence before generalising.

Understand sine, cosine and tangent functions, including their graphs, symmetries and periodicity; sketch transformations such as y = 3 sin x, y = sin(x + π/6) and y = sin 2x.

Use trigonometric functions and graphs to connect the rule to the data and decision in the question.

This matters because trigonometric functions and graphs determines what can be inferred or chosen; begin with the stated conditions and keep the conclusion tied to the evidence.

Example: apply trigonometric functions and graphs to one small, clearly defined case, show the key step or comparison, and explain the result in words.

Boundary: Trigonometric functions and graphs is not a universal recommendation. Check the syllabus scope, assumptions, units and the limits of the evidence before generalising.