Krishna
0

Step 1:  Explore the given question

            NOTE:   3 \tan A = 4

                         \tan A = \frac{4}{3}

                         \tan A = \frac{opp}{adjacent}

                    Therefore, opposite side = 4

                                      Adjacent side = 3

                            

Step 2: Find the unknown side of the right triangle.

                

                 hypotenuse^2 = opposite^2 + adjacent^2

                 hyp^2 = 4^2 + 3^2

                 hyp = \sqrt{16 + 9}

                      hypotenuse = 5


Step 3:  Recall the formulas and find the \sin A , \cos A

            FRMULAS: (i) \sin A =\frac{opp}{hyp}

                                     \sin A =\frac{4}{5}


                                (ii) \cos A =\frac{adj}{hyp}

                                     \cos A =\frac{3}{5}