Trigonometry A

measurementandspace core

Trigonometry A | NSW Curriculum Website

• MA5-TRG-C-01 applies trigonometric ratios to solve right-angled triangle problems

📖 Prior Knowledge

Content	Prior knowledge	Used for
Equations A	- equations with pronumeral in denominator.	- solving trigonometric equations
Properties of Geometrical Figures A	- similarity	- constancy of trigonometric ratios

Demonstrate and explain the constancy of trigonometric ratios for a given angle in right-angled triangles.pdf

• Identify and label the hypotenuse, adjacent and opposite sides with respect to a given angle in a right-angled triangle in any orientation
• Define the sine, cosine and tangent ratios for angles in right-angled triangles and use trigonometric notation sin⁡$\theta$, cos⁡$\theta$, tan⁡$\theta$
• Identify the sine, cosine and tangent ratios in a right-angled triangle
• Verify the constancy of the sine, cosine and tangent ratios for a given angle by applying knowledge of similar right-angled triangles
• Find approximations of the trigonometric ratios for a given angle
• Find the size of an angle given one of the trigonometric ratios for the angle using digital tools

Apply trigonometry to solve right-angled triangle problems.pdf

• Apply trigonometry to find the lengths of unknown sides in right-angled triangles with a given angle including angles in degrees and minutes
• Apply trigonometry to find the size of unknown angles in right-angled triangles including in degrees and minutes
• Solve a variety of practical problems involving trigonometric ratios in right-angled triangles