#MeasurementAndSpace #Core
>[!info]- [Trigonometry A | NSW Curriculum Website](https://curriculum.nsw.edu.au/learning-areas/mathematics/mathematics-k-10-2022/content/stage-5/fac59b13b0)
>- 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