2cos^(2)135^(@)+sin15C^(@)+(1)/(2)cos180^(@)*tan135^(@)

|{:(sin^(2)13^(@),sin^(2)77^@,tan135^(@)),(sin^(2)77^(@), tan 135^(@),sin^(2)13^(@)),(tan135^(@),sin^(2)13^(@),sin^(2)77^(@)):}|=

sin ^ (2) (13 ^ (@)), sin ^ (2) (77 ^ (@)), tan135 ^ (@) sin ^ (2) (77 ^ (@)), tan135 ^ (@), sin ^ (2) (13 ^ (@)) tan135 ^ (@), sin ^ (2) (13 ^ (@)), sin ^ (2) (77 ^ (@))]

The value of the determinant : |(sin^(2)13^(@)""sin^(2)77^(@)""tan135^(@)),(sin^(2)77^(@)""tan135^(@)""sin^(2)13^(@)),(tan135^(@)""sin^(2)13^(@)""sin^(2)77^(@))| is equal to :

The value of the determinant Delta=|{:(sin^(2)23^(@)" "sin^(2)67^(@)" "cos180^(@)),(-sin^(2)67^(@)" "-sin^(2)23^(@)" "-cos180^(@)),(cos180^(@)" "sin^(2)23^(@)" "sin^(2)67^(@)):}| is

Prove that (i) " sin " 75^(@) =((sqrt(6)+sqrt(2)))/(4) (ii) (cos 135^(@) -cos 120^(@))/(cos 135^(@) +cos 120^(@)) =(3 -2sqrt(2)) (iii) " tan " 15^(@) +" cot " 15^(@) =4

Find the value of (sin30^(@).tan330^(@).sec420^(@))/(tan135^(@).sin135^(@).sin210^(@)sec315^(@))

Find the value of (sin30^(@).tan330^(@).sec420^(@))/(tan135^(@).sin135^(@).sin210^(@)sec315^(@))

Evaluate cos^(2)45^(@)+cos^(2)135^(@)+cos^(2)225^(@)+cos^(2)315^(@) .