Evaluate: `|(cos15^0,sin15^0),(sin75^0,cos75^0)|`

Evaluate: |(cos15^@,sin15^@),(sin75^@,cos75^@)|

Evaluate: det[[cos15^(0),sin15^(0)sin75^(0),cos75^(0)]]

Evaluate |(cos 15^(@),sin15^(@)),(sin75^(@),cos75^(@))|

Evaulate |{:(cos15^@,sin 15^@),(sin75^@,cos 75^@):}|

Evaluate: |[cos15^@ sin15^@],[sin75^@cos75^@]| .

Show that {:|(cos15^@, sin15^@),(sin75^@, cos75^@)|:}= 0

Show that |{:(cos 15^@ ,sin 15^@),(sin 75^@,cos 75^@):}|=0

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

Evaluate the following determinants: |[x-7, x],[5,x+1]| (ii) |[costheta ,-sintheta],[sintheta,costheta]| |[cos15^0,sin15^0],[sin75^0,cos75^0]| (iv) |[a+i b, c+i d],[-c+i d, a-i b]|

Evalute |(cos 15^(@) sin 15^(@)),(sin 75^(@) cos 75^(@))|