Question

evaluate sin 50 cos 10 + cos 50 sin 10

Answer 1

this is like formula of sin(A+B), it is equal to sin(60°), so ur answer is sqrt3/2 ..

mark this as brainliest

Answer 2

Answer: sin 50° cos 10° + cos 50° sin 10° = $\dfrac{\sqrt{3}}{2}$

Step-by-step explanation:

Since we have given that

sin 50° cos 10° + cos 50° sin 10°

As we know that

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

Here, A = 50°

and B = 10°

So, sin 50° cos 10° + cos 50° sin 10° = sin(50°+10°)= sin 60°

and the value of sin 60° = $\dfrac{\sqrt{3}}{2}$

Hence, sin 50° cos 10° + cos 50° sin 10° = $\dfrac{\sqrt{3}}{2}$