Evaluate the expression.
-$$\sin ^ { 2 } 360 ^ { \circ } + \cos ^ { 2 } 360 ^ { \circ }$$
A) $\sqrt { 3 }$
B) 2
C) 1
D) $\sqrt { 2 }$

Question

Quizplus · Accepted Answer

This expression is an example of the Pythagorean trigonometric identity, which states that $\sin^2 \theta + \cos^2 \theta = 1$ for any angle $\theta$. Since $360^\circ$ is a full rotation, $\sin(360^\circ) = 0$ and $\cos(360^\circ) = 1$, but regardless of these values, the identity holds true for any angle, including $360^\circ$.

Evaluate the Expression sin⁡2360∘+cos⁡2360∘\sin ^ { 2 } 360 ^ { \circ } + \cos ^ { 2 } 360 ^ { \circ }sin2360∘+cos2360∘

Evaluate the Expression $\sin ^ { 2 } 360 ^ { \circ } + \cos ^ { 2 } 360 ^ { \circ }$