Final answer to the problem
Step-by-step Solution
How should I solve this problem?
- Verify if true (using arithmetic)
- Express in terms of sine and cosine
- Simplify
- Simplify into a single function
- Express in terms of Sine
- Express in terms of Cosine
- Express in terms of Tangent
- Express in terms of Cotangent
- Express in terms of Secant
- Express in terms of Cosecant
- Load more...
To prove that an equation is not an identity, we only need to find one input at which both sides of the equation result in different values
If we try with the following value
After substituting the value and simplify on the left side, we get
After substituting the value and simplify on the right side, we get
Since the values of $\sin\left(x\right)+\frac{-\sqrt{2}}{2}$ and $0$ are unequal for $x=0$, we conclude that the equation is not an identity