Question

sin420 x cos390 - cos(-300) x sin(-330)

Answer 1

HOPE THIS HELPS YOU ❤️❤️❤️

Answer 2

sin420 × cos390 - cos(-300) × sin(-330)

sin420 × cos390 - cos(-300) × sin(-330)now value of sin420 ,

sin420 × cos390 - cos(-300) × sin(-330)now value of sin420 ,sin420 = sin(360+60)=sin60

sin420 × cos390 - cos(-300) × sin(-330)now value of sin420 ,sin420 = sin(360+60)=sin60and value of cos390 ,

sin420 × cos390 - cos(-300) × sin(-330)now value of sin420 ,sin420 = sin(360+60)=sin60and value of cos390 ,cos390 = cos(360+30)=cos30

sin420 × cos390 - cos(-300) × sin(-330)now value of sin420 ,sin420 = sin(360+60)=sin60and value of cos390 ,cos390 = cos(360+30)=cos30 ....... similarly value of cos(-300)

sin420 × cos390 - cos(-300) × sin(-330)now value of sin420 ,sin420 = sin(360+60)=sin60and value of cos390 ,cos390 = cos(360+30)=cos30 ....... similarly value of cos(-300) cos(-300) = cos(-360+30)=cos60

sin420 × cos390 - cos(-300) × sin(-330)now value of sin420 ,sin420 = sin(360+60)=sin60and value of cos390 ,cos390 = cos(360+30)=cos30 ....... similarly value of cos(-300) cos(-300) = cos(-360+30)=cos60 because cos(-a) = cosa ...cos in 4th quadrant is positive ....

sin420 × cos390 - cos(-300) × sin(-330)now value of sin420 ,sin420 = sin(360+60)=sin60and value of cos390 ,cos390 = cos(360+30)=cos30 ....... similarly value of cos(-300) cos(-300) = cos(-360+30)=cos60 because cos(-a) = cosa ...cos in 4th quadrant is positive ....now value of sin(-330) ,

sin420 × cos390 - cos(-300) × sin(-330)now value of sin420 ,sin420 = sin(360+60)=sin60and value of cos390 ,cos390 = cos(360+30)=cos30 ....... similarly value of cos(-300) cos(-300) = cos(-360+30)=cos60 because cos(-a) = cosa ...cos in 4th quadrant is positive ....now value of sin(-330) ,sin(-330)= sin(360-30)= sin30

sin420 × cos390 - cos(-300) × sin(-330)now value of sin420 ,sin420 = sin(360+60)=sin60and value of cos390 ,cos390 = cos(360+30)=cos30 ....... similarly value of cos(-300) cos(-300) = cos(-360+30)=cos60 because cos(-a) = cosa ...cos in 4th quadrant is positive ....now value of sin(-330) ,sin(-330)= sin(360-30)= sin30

sin420 × cos390 - cos(-300) × sin(-330)now value of sin420 ,sin420 = sin(360+60)=sin60and value of cos390 ,cos390 = cos(360+30)=cos30 ....... similarly value of cos(-300) cos(-300) = cos(-360+30)=cos60 because cos(-a) = cosa ...cos in 4th quadrant is positive ....now value of sin(-330) ,sin(-330)= sin(360-30)= sin30 now put the value

sin420 × cos390 - cos(-300) × sin(-330)now value of sin420 ,sin420 = sin(360+60)=sin60and value of cos390 ,cos390 = cos(360+30)=cos30 ....... similarly value of cos(-300) cos(-300) = cos(-360+30)=cos60 because cos(-a) = cosa ...cos in 4th quadrant is positive ....now value of sin(-330) ,sin(-330)= sin(360-30)= sin30 now put the valuesin60 × cos30 - cos60 × sin30

sin420 × cos390 - cos(-300) × sin(-330)now value of sin420 ,sin420 = sin(360+60)=sin60and value of cos390 ,cos390 = cos(360+30)=cos30 ....... similarly value of cos(-300) cos(-300) = cos(-360+30)=cos60 because cos(-a) = cosa ...cos in 4th quadrant is positive ....now value of sin(-330) ,sin(-330)= sin(360-30)= sin30 now put the valuesin60 × cos30 - cos60 × sin30using formula

sin420 × cos390 - cos(-300) × sin(-330)now value of sin420 ,sin420 = sin(360+60)=sin60and value of cos390 ,cos390 = cos(360+30)=cos30 ....... similarly value of cos(-300) cos(-300) = cos(-360+30)=cos60 because cos(-a) = cosa ...cos in 4th quadrant is positive ....now value of sin(-330) ,sin(-330)= sin(360-30)= sin30 now put the valuesin60 × cos30 - cos60 × sin30using formula sin(x - y)= sinxcosy - cosxsiny

sin420 × cos390 - cos(-300) × sin(-330)now value of sin420 ,sin420 = sin(360+60)=sin60and value of cos390 ,cos390 = cos(360+30)=cos30 ....... similarly value of cos(-300) cos(-300) = cos(-360+30)=cos60 because cos(-a) = cosa ...cos in 4th quadrant is positive ....now value of sin(-330) ,sin(-330)= sin(360-30)= sin30 now put the valuesin60 × cos30 - cos60 × sin30using formula sin(x - y)= sinxcosy - cosxsinysin(60 - 30)= sin30 = 1/2 ans...