Math trigonometry summary, Summaries of Mathematics

Trig formulas & quick summary"

Typology: Summaries

2025/2026

Uploaded on 06/20/2026

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NOTES
TRIGONOMETRY (DEFINITIONS) 01 H 040
After completing this module, you should know and recognize the definitions of the
trigonometric ratios sine, cosine and tangent in right angled triangles and in terms of
coordinates.
3 IMPORTANT DEFINITIONS …
opposite
sin (sine )
hypotenuse
adjacent
cos (cosine )
hypotenuse
opposite
tan (tangent )
adjacent
* “Some old hens cackle and howl till old age”
sohcahtoa
3 IMPORTANT DEFINITIONS in terms of x, y and r.
sin y
r
cos
x
r
tan y
x
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NOTES

TRIGONOMETRY (DEFINITIONS) 01 H 040

After completing this module, you should know and recognize the definitions of the trigonometric ratios sine, cosine and tangent in right angled triangles and in terms of coordinates.

 3 IMPORTANT DEFINITIONS …

opposite

sin (sine )

hypotenuse

adjacent

cos (cosine )

hypotenuse

opposite

tan (tangent )

adjacent

* “ S ome o ld h ens c ackle a nd h owl t ill o ld a ge”

sohcahtoa

 3 IMPORTANT DEFINITIONS in terms of x, y and r.

sin   ry

cos   x r

tan   xy

REINFORCEMENT EXERCISE

Trigonometry (Definitions) 01 H 040

  1. Use the sketch and complete the table:  SQRPQS (^)  PRS sin Q SR SQ cos Q SQ QP tan Q sin P cos P tan P
  2. (a) Use the theorem of Pythagoras to calculate r. (b) Now calculate the following trigonometric ratios and write your answer as a decimal number, correct to two decimal places. (i) sin  (ii) (^) cos  (iii) tan 
  3. Use the sketch to calculate the following: (Round your answer correct to 2 decimal places) (i) (^) sin  (ii) cos 

(iii) tan 