Final answer to the problem
The equation is not an identity
Step-by-step Solution
How should I solve this problem?
- Verify if true (using algebra)
- 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...
Can't find a method? Tell us so we can add it.
1
Group the terms of the equation by moving the terms that have the variable $x$ to the left side, and those that do not have it to the right side
$\sin\left(x\right)=- \frac{-\sqrt{2}}{2}$
2
Multiplying the fraction by $-1$
$\sin\left(x\right)=\frac{\sqrt{2}}{2}$
3
The angles where the function $\sin\left(x\right)$ is $0$ are
$x=45^{\circ}+360^{\circ}n,\:x=135^{\circ}+360^{\circ}n$
4
There is no identity or mathematical rule that allows us to proceed trying to match both sides of the equality, so we conclude that it is not true
The equation is not an identity
Final answer to the problem
The equation is not an identity
