In general, the value of sinA as well as CosA is always less than 1 because it goes back to the definition (one of many) that for a right triangle, the sine is the opposite side divided by the hypotenuse.  

Due to this, side is always ≤ the hypotenuse, the ratio has to be ≤ 1.


And it is vice versa on sec or cosec .

Hope you get it .

Thank yoû só mûch

**Introduction:**

The trigonometric functions sine (sin), cosine (cos), secant (sec), and cosecant (cosec) are fundamental mathematical tools used to describe relationships between angles and sides in a right triangle. Each of these functions has specific characteristics and properties that define their behavior. In this explanation, we will focus on why sin and cos angles are always less than 1, while sec and cosec angles are always greater than 1.

**Understanding Trigonometric Functions:**

1. **Sine (sin):**
- The sine of an angle is defined as the ratio of the length of the side opposite the angle to the length of the hypotenuse in a right triangle.
- In a right triangle, the length of the opposite side can never be greater than the length of the hypotenuse. Therefore, the sine of an angle is always less than or equal to 1.
- The maximum value of sin(angle) occurs when the angle is 90 degrees, where the opposite side is equal to the length of the hypotenuse, resulting in sin(90) = 1.

2. **Cosine (cos):**
- The cosine of an angle is defined as the ratio of the length of the adjacent side to the length of the hypotenuse in a right triangle.
- Similar to the sine function, the adjacent side is always shorter than or equal to the hypotenuse. Hence, the cosine of an angle is always less than or equal to 1.
- The maximum value of cos(angle) occurs when the angle is 0 degrees, where the adjacent side is equal to the length of the hypotenuse, resulting in cos(0) = 1.

3. **Secant (sec):**
- The secant of an angle is defined as the reciprocal of the cosine of the angle. In other words, sec(angle) = 1/cos(angle).
- Since the cosine of an angle is always less than or equal to 1, the reciprocal of the cosine (secant) is always greater than or equal to 1.
- The minimum value of sec(angle) occurs when the angle is 0 degrees, where the cosine is 1, resulting in sec(0) = 1.

4. **Cosecant (cosec):**
- The cosecant of an angle is defined as the reciprocal of the sine of the angle. In other words, cosec(angle) = 1/sin(angle).
- As the sine of an angle is always less than or equal to 1, the reciprocal of the sine (cosecant) is always greater than or equal to 1.
- The minimum value of cosec(angle) occurs when the angle is 90 degrees, where the sine is 1, resulting in cosec(90) = 1.

**Conclusion:**

In summary, the sine and cosine functions represent ratios of sides in a right triangle, where the opposite and adjacent sides are always smaller than or equal to the hypotenuse. Consequently, sin and cos angles are always less than or equal to 1. On the other hand, the secant and cosecant functions are reciprocals of the cosine and sine functions, respectively. Since the cosine and sine functions are always less than or equal to 1, their reciprocals (secant and cosecant) are