Question

The value of sin 60o cos 30o +sin 30o cos 60o is

Answer 1

Answer:

1

Step-by-step explanation:

We know that, sin(A+B)=sinAcosB+cosAsinB

sin60cos30+sin30cos60

=sin(60+30)

=sin(90)

=1

Aliter

We know that sinX=cos(90-X)

=sin60cos30+sin30cos60

=sin²60+cos²60

=1

Answer 2

Answer:

Sin (60+30) = Sin90 = 1

Step-by-step explanation:

sin 60 = root 3 /2  

cos 30 = root 3 /2  

sin 30 = 1/2  

cos 60 = 1/2  

= (root 3 /2 ) (root 3 / 2) + (1/2) (1/2)  

= 3/4 + 1/4  

= 4/4  

= 1  

sin 60 + 30 = 90  

where sin 90 = 1