Question

if cos theta=1/root 2 then find the value of 4+cot theta

Answer 1

Given:

cos theta = 1/√2

To prove: 4+ cot theta=?

Proof:

Hence proved....

Answer 2

Given:

cos theta=1/√2

To find:

The value of 4+ cot theta

Solution:

The value of 4+ cot theta is 5.

We can find the value by following the given steps-

We know that the value of cos theta is 1/√2 when the value of theta is 45°.

Cos theta=1/√2

Theta=45°

Now using the value of theta, we can find out the value of cot theta.

Substituting the value of theta, we get

Cot theta= Cot 45°

Since cot theta=1/tan theta and tan 45°=1

So, Cot 45°=1/1=1

The value of cot theta or cot 45° is 1.

To find the value of 4+cot theta, we will substitute the value of cot theta.

On adding cot theta=1, we get

4+ cot theta= 4+ cot 45°

=4+1=5

So, 4+cot theta=5.

Therefore, the value of 4+ cot theta is 5.