Question

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

Answer 1

Answer:

The value of sin t is $\frac{7}{25}$

Step-by-step explanation:

Given as :

cos (t) = $\frac{24}{25}$

Since sin² t + cos² t = 1

So, sin² t = 1 - cos² t

or,  sin² t = 1 - ($\frac{24}{25}$)²

or,  sin² t = $\frac{25^{2} - 24^{2} }{25^{2} }$

Or,  sin² t = $\frac{625 - 576}{625}$

Or ,   sin² t = $\frac{49}{625}$

Or, sin t = $\sqrt{\frac{49}{625} }$

So, sin t = $\frac{7}{25}$

Hence The value of sin t is $\frac{7}{25}$   Answer