Question

Find sin Q, cos Q, and tan Q

Answer 1

Answer:

Your answer will be :

Sin Q = 3 / 5;

Cos Q = 4 / 5;

Tan Q = 3 / 4;

Step-by-step explanation:  

First in the explanation we'll find the reaming side i.e, PD.

Hence, PD = $\sqrt{PQ^{2} - DQ^{2}}$

                  = $\sqrt{(30)^{2} - (24)^{2} }$

                 = 18 units

⇒ Sin Q ;

Now, we know that, Sin A = opposite / hypotenuse;

Hence, put the required value in it ;

                Sin Q = 18 / 30;

                          = 3 / 5;

⇒ Cos Q ;

Now, we know that, Cos A = adjacent/ hypotenuse;

Hence, put the required value in it ;

                Sin Q = 24 / 30;

                          = 4 / 5;

⇒ Tan Q ;

Now, we know that, Tan A = opposite / adjacent;

Hence, put the required value in it ;

                Tan Q = 18 / 24;

                          = 3 / 4;

That's all.