Question

find the value of sin40°cos10°-cos40°sin10°​

Answer 1

Step-by-step explanation:

We have to find the value of : (cos 40)(cos 10) + (sin 40)(sin 10).

cos (a - b) = (cos a)(cos b) + (sin a)(sin b)

(cos 40)(cos 10) + (sin 40)(sin 10)

=> cos (40 - 10)

=> cos 30

=> (sqrt 3)/2

Answer 2

Answer:

We have to find the value of : (cos 40)(cos 10) + (sin 40)(sin 10).

cos (a - b) = (cos a)(cos b) + (sin a)(sin b)

(cos 40)(cos 10) + (sin 40)(sin 10)

=> cos (40 - 10)

=> cos 30

=> (sqrt 3)/2

The expression (cos 40)(cos 10) + (sin 40)(sin 10) = (sqrt 3)/2