Question

Find the values of angle A for which the following is true sin A=0 and cot= -1

Answer 1

A=0 and π

Explanation:

It is given that
`sinA=0` and
`cotA=-1`, we have to find the value of angle A for which
`sinA=0` and
`cotA=-1` is true.

Thus,
`sinA=0`

⇒
`A=sin^(-1)(0)`

⇒
`A=0`

Thus, if
`sinA=0` then
`A=0`.

And
`cotA=-1`

⇒
`A=cot^(-1)(-1)`

⇒
`A={\pi}`

Thus, if
`cotA=-1`, then
`A={\pi}`.