Question

Simplify `1-tan^2(25^@)+csc^2(65^@)`?

Answer 1

`1-tan^2(25^@)+csc^2(65^@)=2`

Explanation:

`1-tan^2(25^@)+csc^2(65^@)`

= `1-tan^2(25^@)+csc^2(90^@-25^@)`

= `1-tan^2(25^@)+sec^2(25^@)`

= `1-tan^2(25^@)+1+tan^2(25^@)`

= `2`