Question

Write the value of cot^2 theta - 1/sin^2 theta

Answer 1

cot^2theta-cosec^2theta

(cosec square theta-cot square theta =1)

cot square theta -cosec square theta =-1

hope you understand

Answer 2

Answer:

$\cot^{2}\theta - \frac{1}{\sin^{2}\theta} = -1$

Step-by-step explanation:

$\cot^{2}\theta - \frac{1}{\sin^{2}\theta} = ?$

We know that,

$\cot^{2}\theta +1 = \csc^{2}\theta$

$\sin \theta = \frac{1}{\csc \theta}$

$\csc \theta = \frac{1}{\sin\theta}$

Now,

$\cot^{2}\theta - \frac{1}{\sin^{2}\theta} = \cot^{2}\theta - \csc^{2}\theta = -1$