# By considering the relationships between the sides of the right angled triangle (hypotonuese of 12 cm) explain why sin x can never be greater than 1?

##### 2 Answers

#### Answer:

See Below.

#### Explanation:

We know,

Now, we know that, In a Triangle, **The side opposite to the greater angle is greater than the other.**

In a Right Angled Triangle,

The Right Angle is the greatest angle.

So, The opposite side to it must be the greatest.

So, Hypotenuse is the greatest side.

That means,

So,

I.e

You can prove it with the Trigonometric Identities too.

We all know,

As,

So,

So,

Now, Either

We know, **Sine** is a **Periodic Function** whose value ranges from

So,

Hence Proved again.

Hope this helps.

#### Answer:

If the value of the

#### Explanation:

The trig functions are based on the Pythagorean Theorem

so

In the classic unit trig triangle the Hypothenuse is 1 so

This can be illustrated by a

Now if the value of the sin is 1 the value of the cos must be 0

So if the angles of the triangle are such that

The value of the