Question

(1 + cos theta)( 1 - cos theta )cossec square theta is equal to K then find the value of k​

Answer 1

Step-by-step explanation:

HELLO DEAR :D

in the below explanation i used © as theta because i dont have acess to it in my keyboard xD

(1+cos©)(1-cos©)cosec²©

we know that (a-b)(a+b) = a²-b²

so it will be

(1-cos²©)cosec²©

by identity sin²©+cos²©=1

(sin²©)cosec²©

now we know that cosec©=1/sin©

so,

(sin²©)×1/sin²©

1

so the answer is 1

$\huge \boxed{k = 1}$

HOPE IT HELPS

^_^