Question

We can use identities to help us solve trigonometric equations. Using a Pythagorean identity we see that the equation sin(x) + sin2(x) + cos2(x) = 1 is equivalent to the basic equation Incorrect: Your answer is incorrect. whose solutions are x = Incorrect: Your answer is incorrect. for any integer k.

Answer 1

Answer:

$\sin x = 0$, $x = \pm \pi\cdot i$, $\forall i \in \mathbb{N}_{O}$

Step-by-step explanation:

The following trigonometric equation is simplified by using identities:

$\sin x + \sin^{2}x + \cos^{2}x = 1$

$\sin x + 1 = 1$

$\sin x = 0$

Whose solutions are:

$x = \pm \pi\cdot i$, $\forall i \in \mathbb{N}_{O}$