Evaluate `|[cos15^@, sin15^@] , [sin75^@,cos75^@]|`

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

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

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

Show that |[cos 15^@ sin 15^@],[sin 75^@ cos 75^@]| =0

Evaluate |["cos" 15^(@), "sin"15^(@)],["sin" 75^(@), "cos"75^(@)]|

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

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

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]|

4sin75^@-3cos15^@=

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