how can i remember the trigonometric ratios of specific and complementary  angles

Consider the right angled triangle shown in the below figure:

Where,

http://wikieducator.org/images/math/a/1/9/a197576597775fc99d0caf43128454aa.png

http://wikieducator.org/images/math/2/2/2/22282ca76264abadb5297ac2f51aef45.png

http://wikieducator.org/images/math/9/0/8/90864844deb91b578ad7a5bf3b0a084b.png

http://wikieducator.org/images/math/d/7/f/d7f93af70bcd6d6017ea3d640b793aeb.png

On the basis of the above triangle, we can follow the given table:

 

 

 

To remember the trignometrical ratio of angle, you can see the following method to remember the trigonometric ratios:

sin

cos

tan

P

B

P

H

H

B

cosec

sec

cot

 

In this table, P stands for perpendicular, B stands for base and H stands for the hypotenuse of the triangle.

The conventionhttps://s3mn.mnimgs.com/img/shared/discuss_editlive/3021597/2012_06_15_15_57_00/mathmlequation3444352547198310530.png can be remembered as :

https://s3mn.mnimgs.com/img/shared/discuss_editlive/3021597/2012_06_15_15_57_00/mathmlequation2433452137305946170.png

https://s3mn.mnimgs.com/img/shared/discuss_editlive/3021597/2012_06_15_15_57_00/mathmlequation6835612289494996573.png

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