Krishna
0

Step 1: Note down the given trigonometric ratios

           GIVEN:   \sin 60\degree \cos 30\degree + \sin 30\degree \cos 60\degree

                           \sin(60\degree + 30\degree) = \sin 90\degree

Step 2: Remember the values of the given trigonometric ratios

            EXAMPLE: \sin 60\degree = \frac{\sqrt{3}}{2}

                                 \sin 30\degree = \frac{1}{2}

                                 \cos 60\degree = \frac{1}{2}

                                 \cos 30\degree = \frac{\sqrt{3}}{2}


Step 3: Substitute the values of the trigonometric ratios.

               = \sin 60\degree \cos 30\degree + \sin 30\degree \cos 60\degree      

               = \frac{\sqrt{3}}{2} \frac{\sqrt{3}}{2} + \frac{1}{2} \frac{1}{2}  


               = \frac{3}{4} + \frac{1}{4}


               = \frac{4}{4}

               = 1..................................(1)

             And

         \sin 90\degree = 1 ...............................(2)

        

Step 4: Observe the equation (1) & (2)

            From equation (1) & (2),

          We can conclude that  

         \sin(60\degree+30\degree) = \sin 60\degree \cos 30\degree + \sin 30\degree \cos 60\degree