The value of the trigonometry equation (sin 60)(cos 30)+(cos 60)(sin 30) is sin (60+30). Option J is correct.
What is the formula of sum of sin (a+b)?
The formula of sum of sin (a+b) is the trigonometry identity which is used to solve and simplify the problem based on trigonometry equation.
The formula of sum of sin (a+b),
Sin(A+B)=(sin A)(cos B)+(cos A)(sin B)
Here, (A and B) are the measure of angles.
The trigonometry equation given in the problem is,
(sin 60)(cos 30)+(cos 60)(sin 30)
Compare this expression with the above formula we get,
A=60
B=30
Thus, the value of the given expression is,
(sin 60)(cos 30)+(cos 60)(sin 30)=sin (60+30)
Thus, the value of the trigonometry equation (sin 60)(cos 30)+(cos 60)(sin 30) is sin (60+30). Option J is correct.
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