What is the value of 2 × sin 45° × cos 45°?
What is the value of 2 × sin 45° × cos 45°?
Explanation
Using the identify 2 sin A cos A = sin 2A, so 2 sin 45° cos 45° = sin 90°.
Since sin 90° = 1, the expression equals 1.
Using the identify 2 sin A cos A = sin 2A, so 2 sin 45° cos 45° = sin 90°.
Since sin 90° = 1, the expression equals 1.