Its just 2 step method. Let's learn this trick
First learn this sentence .
ADD SUGAR TO COFFEE.
I. II. III IV
Here
ADD means .. All Sin , cos, tan are positive in First quadrant.
SUGAR means .. Sin ( cosec also..because just reciprocal ) .. is positive is second quadrant.
TO means ... Tan ( cot also) .. is positive is third quadrant .
Last one
COFFEE means ...cos ( sec also.) ..is positive is fourth quadrant .
Now Apply this trick
____________________________________________
Example 1 .. Find Tan(405°)
First divide angle by 360 and take only remainder
= reminder (405/360) = 45
Now see Angle 45 is in first quadrant . In first quadrant Tan is positive as( all are positive as ADD,see above sentence)
We got + sign here
This reminder is for checking sign only
Now for angle value
= remainder(405/90)
=45
So we have + sign and have angle value 45 in tan
=+tan(45)
=+1 ( answer)
-------------------------------------------------------
Example 2
Find the value of Sin(840)
For sign
=reminder ( 840/360)
=120
120 is in second quadrant and in second quadrant all the positive (SUGAR means sin and cosec +)
We got + sign
Again
For value
=Reminder(840/90)
=30
So sin( 840)=+sin(30)
=1/√2 (answer )
--------------------------------------------------
If you have doubt then write in comment box , Please
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Next updates depends upon your likes ..
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First learn this sentence .
ADD SUGAR TO COFFEE.
I. II. III IV
Here
ADD means .. All Sin , cos, tan are positive in First quadrant.
SUGAR means .. Sin ( cosec also..because just reciprocal ) .. is positive is second quadrant.
TO means ... Tan ( cot also) .. is positive is third quadrant .
Last one
COFFEE means ...cos ( sec also.) ..is positive is fourth quadrant .
Now Apply this trick
____________________________________________
Example 1 .. Find Tan(405°)
First divide angle by 360 and take only remainder
= reminder (405/360) = 45
Now see Angle 45 is in first quadrant . In first quadrant Tan is positive as( all are positive as ADD,see above sentence)
We got + sign here
This reminder is for checking sign only
Now for angle value
= remainder(405/90)
=45
So we have + sign and have angle value 45 in tan
=+tan(45)
=+1 ( answer)
-------------------------------------------------------
Example 2
Find the value of Sin(840)
For sign
=reminder ( 840/360)
=120
120 is in second quadrant and in second quadrant all the positive (SUGAR means sin and cosec +)
We got + sign
Again
For value
=Reminder(840/90)
=30
So sin( 840)=+sin(30)
=1/√2 (answer )
--------------------------------------------------
If you have doubt then write in comment box , Please
For more Tricks like my Page ..
Next updates depends upon your likes ..
STAY UP TO DATE WITH SARKARISAHAI
( Bookmark this website )
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