Question

sin60.cos30+sin30.cos60

Answer 1

Sin60*cos(90-60)+sin30.cos(90-30)

Sin60*sin60+sin30*sin30

Sin²60+sin²30

{√3/2}² + (1/2)²

3/4+1/4

(3+1)/4

4/4

= 1

Answer 2

Answer:

$\sin60\cdot\cos30+\sin30\cdot\cos60=1$

Step-by-step explanation:

Given : Expression  $\sin60\cdot\cos30+\sin30\cdot\cos60$

To find : The solution of the given expression?

Solution :

$\sin60\cdot\cos30+\sin30\cdot\cos60$

Applying property,

$\sin A\cos B+\cos A \sin B=\sin(A+B)$$\sin60\cdot\cos30+\sin30\cdot\cos60=\sin(60+30)$

$\sin60\cdot\cos30+\sin30\cdot\cos60=\sin(90)$

We know, $\sin(90)=1$

$\sin60\cdot\cos30+\sin30\cdot\cos60=1$