Question

plzzz ans......Trignometry.......Thnk u......Ans BOTH PARTS

Answer 1

Hi ,

I used x instead of theta .

we know that ,

trigonometric identity,

sin² x + cos² x = 1 ---( 1 )

sin² x = 1 - cos² x --( 2 )

Now,

i ) 2 - sin² x - cos² x

= 2 - ( sin² x + cos² x )

= 2 - 1 [ from ( 1 ) ]

= 1

ii ) 2 + 1 / sin²x - cos² x/ sin² x

= 2 + [ ( 1 - cos² x ) / sin² x ]

= 2 + [ sin² x / sin² x ]

[ from ( 2 ) ]

= 2 + 1

= 3

I hope this helps you.

:)