Simplifying the Equation cos(2x) using the Double Angle Identity for Cosine

cos(2x)=

The equation cos(2x) can be simplified using the double angle identity for cosine which states that cos(2x) = cos^2(x) – sin^2(x)

The equation cos(2x) can be simplified using the double angle identity for cosine which states that cos(2x) = cos^2(x) – sin^2(x).

So, cos(2x) = cos^2(x) – sin^2(x).

Another way to express cos(2x) is using the identity cos^2(x) + sin^2(x) = 1.

Rearranging this identity, we get cos^2(x) = 1 – sin^2(x).

Substituting this into the first equation, we have:

cos(2x) = 1 – sin^2(x) – sin^2(x).

Combining like terms, we get:

cos(2x) = 1 – 2sin^2(x).

Therefore, cos(2x) = 1 – 2sin^2(x).

More Answers:

Unlocking the Secrets of Cosecant: A Guide to Understanding and Calculating Cosecant in Trigonometry
Exploring the Secant Function: Definition, Properties, and Relationships with Other Trigonometric Functions
Understanding the Double-Angle Identity for Sine: Simplifying sin(2x) using the double-angle identity

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