# Why is sin A or cos a always between 1 and 1 but Tan A can be any number?

## Why is sin A or cos a always between 1 and 1 but Tan A can be any number?

The simple reason is that the length of the sides of a right triangle are always less than the length of the hypotenuse. So, the ratio of any side and hypotenuse is always less than 1.

## Why the value of sin and cos is always less than 1?

the value of sin and Cos is always less than 1 because sin is equals two perpendicular ÷ hypotenuse and perpendicular is always smaller than hypotenuse so it is not possible that sin is greater than 1 same case in cos also cos is equals to base divided by hypotenuse and base is always smaller than hypotenuse so it is …

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Why can’t the cosine or sine be larger than 1 but the Tangent can?

Because in a triangle with one right angle, the diagonal c is always longer than the two others a and b, making the ratios a/c and b/c (which we call sine and cosine) both smaller than 1. There is no such restriction on the length of a and b, so their ratio (which we call the tangent) can get any value.

### Is Sinx less than 1?

Keep in mind that sinx is always greater than or equal to zero and less than or equal to 1.

### Is the value of Tan A is always less than 1?

The value of tan A is always less than 1. Solution: False; value of tan begins from zero and goes on to become more than 1. sec A = 12/5 for some value of angle A. cos A is the abbreviation used for the cosecant of angle A.

Why can sin never be greater than 1?