Question

4(sin^2 30 degree + cos^2 60 degree) - 3(cos^2 45 degree - 1/2 sin^2 90 degree)

Answer 1

4( sin²30° + cos²60°) -3(cos²45° -1/2sin²90°)
we know,
sin30° = 1/2
cos60° = 1/2
cos45° = 1/√2
sin90° = 1 , use these above

= 4( 1/4 + 1/4) - 3( 1/2 -1/2 )
= 4( 1/2) - 3(0)
= 2

Answer 2

Hi Friend,

Here is your answer,

4( sin²30° + cos²60°) -3(cos²45° -1/2sin²90°)


sin 30° = 1/2 

cos 60° = 1/2 

cos 45° = 1/√2 

sin 90° = 1 

 4( 1/4 + 1/4) - 3( 1/2 -1/2 ) 
 4( 1/2) - 3(0) 
 2.


Hope it helps you!