`|[sin^2(13^@),sin^2(77^@),tan135^@],[sin^2(77^@),tan135^@,sin^2(13^@)],[tan135^@,sin^2(13^@),sin^2(77^@)]|`

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

sin135=?

sin135=?

The value of the determinant |("sin"^(2)36^(@),"cos"^(2)36^(@),"cot"135^(@)),("sin"^(2)53^(@),"cot"135^(@),"cos"^(2)53^(@)),("cot"135^(@),"cos"^(2)25^(@),"cos"^(2)65^(@))| is

(sin150^(@)-5cos300^(@)+7tan 225^(@))/(tan 135^(@)+3sin 210^(@))

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

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

Prove that : (cos13^@+sin13^@)/(cos13^@-sin13^@) =tan 58^@ .