`4sin75^@-3cos15^@=`

Express each of the following products into sum and difference of sines and cosines ( i ) 2cos3 theta sin2 theta( ii) 2sin5 theta cos3 theta( iii) cos9 theta cos4 theta(iv)sin75^(@)cos15^(@)

sin15^@cos75^@+cos^(2)15^@=

4sin^(3)75^(0)-3cos15^(0)= (1)/(2) (1)/(sqrt(2)) (1)/(sqrt(3)) sqrt(3)

Evaluate det[[cos15^(@),sin15^(@)sin75^(@),cos75^(@)]]

Simplify (sin75^(@)-sin15^(@))/(cos75^(@)+cos15^(@))

If A=[[sin15^@ cos15^@],[-sin75^@ cos75^@]] , then evaluate |A|.

sin75^(@)-sin15^(@)=cos105^(@)+cos15^(@)

Solve that : (sin75^(@)+sin15^(@))/(sin75^(@)-sin15^(@))=sqrt(3)

Find the value of (sin 15^@)/(cos 15^@) xxtan 75^@ .