Can anyone tell me the left hand trick of memorizing trigonometry table?
Answers
Answer:
Step-by-step explanation:
Trigonometric Hand Trick
This is an easy way to remember the values of common values of trigonometric functions in the
first quadrant. It’s a lengthy explanation, but once you know this by heart, you can use this trick
for all four quadrants. All you need is your non-dominant hand.
Step 1: Hold out your non-dominant hand.
Step 2: “Assign” the following values to your fingers.
If your non-dominant hand is your left
hand…
If your non-dominant hand is your right
hand…
Step 3: Find a trig problem.
For example: cos (π/6)
Step 4: Hold down the finger assigned for that angle.
For example: Hold down your ring finger for π/6.
Step 5: Know the following formulas.
sin =
√
2
cos =
√
2
tan =
√
√
“Bottom fingers” refer to how many fingers are “below” the finger you’ve held down. “Top
fingers” refer to how many fingers “above” the finger you’ve held down. Your thumb counts.
Step 6: Calculate the values for your trig expression using the appropriate formula.
For example: When you hold down your ring finger, there is 1 finger below your ring finder
(your pinkie), and there are 3 fingers above your ring finger (your thumb, your index finger, and
your middle finger.) Therefore, cos (π/6) =
√3
2
. If you need sine, sin (π/6) =
√1
2
=
1
2
.
Hey there !
Alright, I got an easier method to memorize the trig values but it is not the cliched left hand trick. So my answer might not be relevant to your question but I felt I could tell an easier method for you to chose over shortcuts. But if you feel that this ain’t gonna work, you can report my answer.
So here goes :
Let’s start with something totally unrelated. These numbers :
0 , 1/4 , 1/2 , 3/4 , 1
(If you notice, I’ve just written the quarter-numbers from 0 to 1. You can surely remember these right?)
Take the square root of these numbers. So the numbers then, will be :
0 , 1/2 , 1/√2 , √3/2 , 1
Now these are your sin values.
Now, just reverse the order of these numbers. So the numbers will be :
1 , √3/2 , 1/√2 , 1/2 , 0
Now these are your cos values.
Now, divide the corresponding values of sin and cos in order I.e. 0/1 , 1/2 ÷√3/2 and etc.. ( because tan Θ = sin Θ/cosΘ ). So the values will be :
0 , 1/√3 , 1 , √3 , 1
These are your tan values.
After this the job gets even easier, just reciprocate the values of sin for cosec ; reciprocate the values of cos for sec and the reciprocate the values of tan for cot.
Hope this helps ya ✌️