Cos = Base / Hypotenuse

Sin = Perpendicular / Hypotenuse

Tan = Perpendicular / Base

Cosec = 1 / Sin

Sec = 1 / Cos

City = 1 / Tan

Here is the trick to remember..

Learn this Mantra =

Pandit Badrinath Prasad Har Har Bole

which can be written as..

P B P
H H H

There u can easily learn about the Trigonometric function

Trigonometric Functions

Trigonometric functions are mathematical functions that relate the angles of a right triangle to the ratios of the sides of the triangle. The main trigonometric functions are cosine (cos), cosecant (cosec), secant (sec), and tangent (tan). These functions are used extensively in trigonometry and have various applications in fields such as physics, engineering, and navigation.

Cosine (cos)
The cosine function, denoted as cos, gives the ratio of the adjacent side to the hypotenuse in a right triangle. It calculates the value of the cosine of an angle.

Cosecant (cosec)
The cosecant function, denoted as cosec or csc, is the reciprocal of the sine function. It gives the ratio of the hypotenuse to the opposite side in a right triangle. The cosecant of an angle is equal to 1 divided by the sine of that angle.

Secant (sec)
The secant function, denoted as sec, is the reciprocal of the cosine function. It gives the ratio of the hypotenuse to the adjacent side in a right triangle. The secant of an angle is equal to 1 divided by the cosine of that angle.

Tangent (tan)
The tangent function, denoted as tan, gives the ratio of the opposite side to the adjacent side in a right triangle. It calculates the value of the tangent of an angle.

Values of Cos, Cosec, Sec, and Tan
Here are the values of cos, cosec, sec, and tan for some common angles:

- 0°: cos(0) = 1, cosec(0) = undefined, sec(0) = 1, tan(0) = 0
- 30°: cos(30) = √3/2, cosec(30) = 2/√3, sec(30) = 2, tan(30) = √3/3
- 45°: cos(45) = 1/√2, cosec(45) = √2, sec(45) = √2, tan(45) = 1
- 60°: cos(60) = 1/2, cosec(60) = 2/√3, sec(60) = 2, tan(60) = √3
- 90°: cos(90) = 0, cosec(90) = 1, sec(90) = undefined, tan(90) = undefined

Tricks to Remember the Values
To remember the values of trigonometric functions, you can use the acronym "CAST" and the unit circle.

- CAST: In the first quadrant, all trigonometric functions are positive. In the second quadrant, only sin is positive. In the third quadrant, only tan is positive. In the fourth quadrant, only cos is positive. This helps in determining the signs of trigonometric functions for different angles.
- Unit Circle: The unit circle is a circle with a radius of 1 unit. By placing angles on the unit circle and measuring the coordinates of the points where the angles intersect the circle, you can determine the values of trigonometric functions