Question

find the value of 1 - cos square theta into cosec square theta

Answer 1

hope this helps you ....

Answer 2

Answer:

The value of  $\bold\left(1-\cos ^{2} \theta\right) \times\left(cosec ^{2} \theta\right)\bold$ is 1.

Solution:

To find: The value of  $\left(1-\cos ^{2} \theta\right) \times\left(cosec ^{2} \theta\right)$

Here, $\left(1-\cos ^{2} \theta\right)$ can be written as $\sin ^{2} \theta$

$\sin ^{2} \theta \times cosec ^{2} \theta$

We know that $cosec^2 \theta$ is the reciprocal of $sin^2 \theta$ i.e. $\frac{1}{sin^2 \theta}$

$\sin ^{2} \theta \times \frac{1}{\sin ^{2} \theta}$

So, the value is 1.