Question

If theta is equal to 45 degrees then find the value of cosec squared theta

Answer 1

Answer:

2

Step-by-step explanation:

Concept:

1.$cosec\theta=\frac{1}{sin\theta}$

2.sin45°=$\frac{1}{\sqrt{2}}$

Now,

$cosec^2\theta\\\\=cosec^{2}45\\\\=\frac{1}{sin^{2}45}\\\\=\frac{1}{\frac{1}{2}}$

=2

Answer 2

Given :

Angle , $\theta=45^o$.

To Find :

The value of $cosec^2 \theta$ .

Solution :

We know , $cosec \ \theta=\dfrac{1}{sin\ \theta}$

Now , we know $sin \ 45^o =\dfrac{1}{\sqrt{2}}$

So , $cosec\ 45^o=\sqrt{2}$

and $cosec^2\ 45^o=2$

Therefore , the value of $cosec^2\ \theta$ for $\theta=45^o$ is 2.

Hence , this is the required solution.