Understand and apply the relationship sin(x) = cos(90° - x).
For any acute angle x: [formula] This is because in a right triangle, the two acute angles are complementary (x + (90° - x) = 90°), and the side opposite one angle is adjacent to the other. In radians: sin(theta) = cos(frac{pi}{2} - theta)
Example: If sin(25°) = 0.4226, what is cos(65°)?
The SAT loves this identity! If you see sin(x°) = cos(y°), then x + y = 90. This is tested almost every time and is a quick 30-second solve.
Try NovaMaths free — AI tutoring, 95 lessons, 749+ exercises.
Practice this topic →