SImple and Concise Summary on Trigonometry (grade 9, Junior Cert students)
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Course
Mathematics
Institution
This summary covers the key concepts involved in Junior Cert trigonometry (9th grade). Perfect for revision, it includes key concepts such as SOHCAHTOA, Pythagoras theorem, Finding missing angles, and more. All are explained with examples.
If you need to see a problem explained step-by-step or a...
◺ a²+ b²= c²
. C² is always referring to the ‘hypotenuse of the triangle’.
. a²and b² refer to the other sides.
. The hypotenuse is the longest side and opposite the right
angle.
* Can only be used when two sides are known and on
right-angle triangles.
Example: Find the hypotenuse where the other two sides
equal 3cm and 4cm.
3𝑐𝑚² + 4𝑐𝑚² = 𝐶²
9𝑐𝑚 + 16𝑐𝑚 = 𝐶²
25 = 𝐶² - We want to know C, not C²
5 = 𝐶 - The answer is not right if the hypotenuse is
smaller than one of the sides
, Labeling a Triangle
Hypotenuse - The longest side and opposite the right angle
Opposite - The side opposite the given angle
Adjacent - The side next to the given angle
Sin, Cos, Tan
- Sine SOH
𝑜𝑝𝑝
𝑆𝑖𝑛 = ℎ𝑦𝑝
- Cosine CAH
𝑎𝑑𝑗
𝐶𝑜𝑠 = ℎ𝑦𝑝
- Tangent TOA
𝑜𝑝𝑝
𝑇𝑎𝑛 = 𝑎𝑑𝑗
SOHCAHTOA - To help remember the trigonometric ratios
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