Question

simplest form of( 1 - cos square a) ( 1 + cot square a )is​

Answer 1

Answer:

The simplest form is sin^4 A.

For the answer, refer to the attachment....

Brainliest plzzzz

Answer 2

The simplest form of $(1-cos^2a)(1+cot^2a)$ is 1

Step-by-step explanation:

Given expression is $(1-cos^2a)(1+cot^2a)$

To solve the given expression into simplest form :

• $(1-cos^2a)(1+cot^2a)$
• $=sin^2a(cosec^2a)$ ( by using the identity $sin^2x+cos^2x=1$ then implies that $1-cos^2x=sin^2x$ and $cose^2x-cot^2x=1$ which implies that $1+cot^2x=cosec^2x$ )
• $=sin^2a(\frac{1}{sin^2a})$  ( by using the identity $cosec^2x=\frac{1}{sin^2x}$ )
• $=1$

• Therefore the given expression becomes simplest from to $(1-cos^2a)(1+cot^2a)=1$

Therefore the simplest form of $(1-cos^2a)(1+cot^2a)$

is 1

Therefore the given expression implies $(1-cos^2a)(1+cot^2a)=1$