Question

Cos(t)=24/25, what does sin(t)=?

Answer 1

The value of sin t is
`(7)/(25)`

Explanation:

Given as :

cos (t) =
`(24)/(25)`

Since sin² t + cos² t = 1

So, sin² t = 1 - cos² t

or, sin² t = 1 - (
`(24)/(25)`)²

or, sin² t =
`(25^(2) - 24^(2) )/(25^(2) )`

Or, sin² t =
`(625 - 576)/(625)`

Or , sin² t =
`(49)/(625)`

Or, sin t =
`\sqrt{(49)/(625) }`

So, sin t =
`(7)/(25)`

Hence The value of sin t is
`(7)/(25)` Answer