Question

`cot765^@ =`? `sec765^@ =`? `csc765^@ =`?

Answer 1

`1,sqrt2,sqrt2`

Explanation:

`"note that "765^@=765-720^@=45^@`

`rArrcot765^@=1/(tan45^@)=1/1=1`

`rArrsec765^@=1/(cos45^@)=1/(1/sqrt2)=sqrt2`

`rArrcsc765^@=1/(sin45^@)=1/(1/sqrt2)=sqrt2`

Answer 2

`cot(45^@)=1`
`sec(45^@)=sqrt2`
`csc(45^@)=sqrt2`

Explanation:

Since, they are all in the same quadrant,

`cot(765^@)=cot(45^@)=1`
`sec(765^@)=sec(45^@)=sqrt2`
`csc(765^@)=csc(45^@)=sqrt2`

With the help of this chart, we can, hence, easily solve the equation.

`cot(45^@)=1`
`sec(45^@)=sqrt2`
`csc(45^@)=sqrt2`