# 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?

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Note: Since the sine and cosine ratios involve dividing a leg (one of the shorter two sides) by the hypotenuse, the values will never be more than 1, because (some number) / (a bigger number) from a right triangle is always going to be smaller than 1.

#### Who discovered Sohcahtoa?

It was Leonhard Euler who fully incorporated complex numbers into trigonometry. The works of the Scottish mathematicians James Gregory in the 17th century and Colin Maclaurin in the 18th century were influential in the development of trigonometric series.