sin2x
2sinxcosx
The trigonometric function sin2x represents the sine of twice the angle x.
To find the value of sin2x, we can use the double angle formula for sine, which states that:
sin2x = 2sinx cosx
In other words, to find sin2x, we first evaluate sinx and cosx for the given angle x, then multiply them by 2 and take their product.
For example, if x = π/6 (30 degrees), we have:
sinx = sin(π/6) = 1/2
cosx = cos(π/6) = √3/2
Substituting these values into the formula, we get:
sin2x = 2sinx cosx = 2(1/2)(√3/2) = √3
Therefore, sin2(π/6) = √3.
Note that the double angle formula for sine can also be written as:
sin2x = sin(x + x) = sinx cosx + cosx sinx = 2sinx cosx
This is useful to remember when working with more complex expressions involving sin2x.
More Answers:
Unlocking The Power Of Trigonometric Identity: Learn The Cosine ‘Power Reducing Formula’Learn How To Calculate The Area Of An Equilateral Triangle – Step By Step Guide With Examples
Mastering The Double Angle Formula: Simplifying Cos2X = (Cos(X))^2 – (Sin(X))^2
Error 403 The request cannot be completed because you have exceeded your quota. : quotaExceeded