Key Components of Right Triangles Understanding the components of a right triangle is essential for grasping trigonometric functions. The hypotenuse, always opposite the 90° angle, remains constant while the other two sides—perpendicular and base—vary depending on which angle you reference. For any given angle (A or B), identify its perpendicular side as opposite to that angle and its base as adjacent to it.
Trigonometric Relationships Simplified The relationships between sine, cosine, and tangent can be easily remembered using a mnemonic: "Pandit Badri Prasad". This translates mathematically into sine being equal to perpendicular over hypotenuse (P/H), cosine as base over hypotenuse (B/H), and tangent as perpendicular over base (P/B). These definitions change based on whether you're referencing Angle A or Angle B but follow consistent formulas.
Calculating Sine, Cosine & Tangent Values To find values like sin(B) or cos(B) when considering Angle B specifically involves identifying AC as the new perpendicular side with BC remaining adjacent. Thus sin(B)=AC/H; cos(B)=BC/H; tan(B)=AC/BC follows suit from previous principles established for Angle A but adapted accordingly without altering H's constancy across angles in right triangles.