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

Without using Trigonometric Tables evaluate the following :- sec^2 10^@-cot^2 80^@+(sin15^@cos75^@+cos15^@sin75^@)/(costhetasin(90^@-theta)+sinthetacos(90^@-theta) .

Find the value of sec^(2)10^(@)-cot^(2)80^(@)+(sin15^(@)cos75^(@)+cos15^(@)sin75^(@))/(costhetasin(90^(@)-theta)+sinthetacos(90^(@)-theta)) .

4sin75^@-3cos15^@=

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

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

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

Find the value of (sin75^(@)+sin15^(@))/(cos75^(@)+cos15^(@)) :

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

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