I need a mnemonic to help me remember the main letters of advanced trigonometry.?

Question

The letters are: *cho sha cao*; can anyone think of a mnemonic to go with them? Or, I've thought of this one: *Certain Huge Oranges, Stay Happy After, Coming Angling Often*, is it any good?

Answer 1

Trigonometry

Read the following statement and answer the following questions:

Silly Old Harry,
Caught A Herring,
Trawling Of America.

(1)What kind of person was Harry?_________________________
(2)How old was Harry?__________________________________
(3)What did Harry catch?___________________________________________
(4)What does Harry work at? _______________________________________
(5)Where was Harry? ___________________________________________
(6)What was Harry doing? _______________________________________



Trigonometry is concerned with the calculations associated with the measurements of angles and lengths of the sides of a triangle.
With a right angle triangle (ie. a triangle that has one right angle) the following notation may be use:
Sine, Cosine and Tangent.
The above statement about Harry can act as a memory aid for the trigonometrical identities by taken the first letter of each word in the given order and adding the angle ø to it.

Sine of an angle (Sin - for short) is given by: Sin ø = Opp./Hyp.

Cosine of an angle (Cos - for short) is given by: Cos ø = Ajd./Hyp.

Tangent of an angle (Tangent - for short) is given by: Tan ø = Opp./Ajd.

Since trigonometry is the ration of two sides of a triangle with respect to one of the angles of the triangle then;
The ratio value of two sides of the triangle (a number value) can be converted into degrees (or radians) and
Degrees (or radians) can be converted into a ratio value of two of the sides of the triangle (ie. Sin, Cos or Tan).


This system works for me. Any system that works for you is good.

Answer 2

SohCahToa is the best.

although; mnemonics include

1. "Tommy On A Ship Of His Caught A Herring").

2. "Oscar Has A Hold On Angie."

3. "Oscar Had A Heap of Apples."

4. "The Old Army Colonel And His Son Often Hiccup" (which gives the functions in the order tangent, cosine, sine).

5. "Studying Our Homework Can Always Help To Obtain Achievement."

6. "Some Old Hippy Caught Another Hippy Tripping On Acid."

Number 5 should be easy to remember!

Answer 3

If yours works for you, it's good.

Frankly, I believe that the ratios for sine, cosine, and tangent should be mantra by now if you're on to cosecants, secants, and cotangents. If that's so, then you don't need a mnemonic for the advanced ratios... they're merely the reciprocals of the three main ones.

csc(x) = 1 / sin(x) = H / O
sec(x) = 1 / cos(x) = H / A
cot(x) = 1 / tan(x) = A / O

The trouble with a mnemonic for the advanced ratios is that "C" is supposed to represent either the cosecant or the cotangent. If you have to stop to consider which "C" is which, my opinion is it's not terribly helpful. But like I said, if it works for you, run with it!

Answer 4

I know what you mean. People say remember the Indian's name "Sohcahtoa". That never works for me... I always get confused spelling the name on a test. I definitely like the mnemonics that people came up with on here, and I think that they are way better.

Answer 5

clowns help orphans stay happy after commiting an offense

Answer 6

I always remembered it as one word:

SohCahToa:

Sine =opp/hypotenuse
Cosine = adjacent/hypotenuse
Tangent= opp/adjacent

Answer 7

I also use the SohCahToa method.