Question

sin20° cos40°+cos20° sin40°

Answer 1

sin(20+40)= sin60= √3/2
here I m using formula sin(A+B)= sinAcosB+ cosAsinB

Answer 2

sin 20° cos 40° + cos 20° sin 40° = √3/2

Given :

sin20° cos40° + cos20° sin40°

To find :

The value of the expression

Formula Used :

sin (A + B) = sin A cos B + cosA sin B

Solution :

Step 1 of 2 :

Write down the given expression

Here the given expression is

sin 20° cos 40° + cos 20° sin 40°

Step 2 of 2 :

Find the value of the expression

We are aware of the formula that

sin A cos B + cosA sin B = sin (A + B)

Putting A = 20° and B = 40° we get

sin 20° cos 40° + cos 20° sin 40°

= sin (20° + 40°)

= sin 60°

= √3/2

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