Find the value 2.sin 45°.cos 45°
What is the value of 2 sin 45° cos 45°?
Answer:
To find the value of 2 sin 45° cos 45°, we can use the trigonometric identity for the double angle of sine: sin 2θ = 2 sin θ cos θ.
In this case, we have sin 45° = cos 45°, so we can rewrite the expression as 2 sin 45° cos 45° = 2 sin 45° sin 45°, since sin 45° = cos 45°.
Using the double angle identity, sin 2θ = 2 sin θ cos θ, we can simplify further:
2 sin 45° sin 45° = sin 90° = 1
Therefore, the value of 2 sin 45° cos 45° is 1.
1 Like