The value of (sin30° cos60° - cos30° sin60°) is equal to:
Show answer & explanation
Correct answer: B
Explanation
The correct answer is option 2 i.e. -1/2
We know that:
sin (A + B) = sin A cos B + cos A sin B
Using this formula, we can rewrite the expression as:
sin (30° + 60°) = sin 90° = 1
Now, we can use the following trigonometric values:
sin 30° = 1/2
cos 60° = 1/2
cos 30° = √3/2
sin 60° = √3/2
Substituting these values, we get:
(sin30° cos60° - cos30° sin60°) = (1/2)(1/2) - (√3/2)(√3/2)
Simplifying this expression, we get:
(1/4) - (3/4) = -1/2
Therefore, the value of (sin30° cos60° - cos30° sin60°) is equal to -1/2.