AdaAda

홈 / 라이브러리 / Digital SAT: Comprehensive Practice (Math & Reading-Writing) / AI 플래시카드

What is the relationship between the sine and cosine of complementary angles in right triangles?

덱 'Digital SAT: Comprehensive Practice (Math & Reading-Writing)'의 플래시카드.

정답

$\sin(x) = \cos(90^\circ - x)$ or in radians $\sin(x) = \cos\left(\frac{\pi}{2} - x\right)$.

해설

Since acute angles in a right triangle sum to $90^\circ$, the side opposite angle $x$ is adjacent to $(90^\circ - x)$, making the ratios identical.

AI 생성 콘텐츠 · 감수: Ada