Question

Evaluate.
`cos^2 26^@+cos65^@sin26^@+tan36^@/cot54^@`

Answer 1

`cos^2 26^@+cos65^@sin26^@+tan36^@/cot54^@`

`cos^2 26^@+cos64^@  sin26^@+ tan36^@/cot54^@`

`=cos^2 26^@+cos(90^@-26^@)sin26^@+tan36^@/cot(90^@-36^@)`

`=cos^2 26^@+sin^2 26^@  sin26^@+tan36^@/tan36^@`

= cos²26° + sin²26°+ 1

= 1 + 1

= 2