Скачать или смотреть Trigonometry tricks by calculus zone. this trick is very useful.

Trigonometry short tricks simplify solving problems in exams like SSC CGL or JEE by using memorized values, identities, and quick substitutions. These techniques focus on standard angles, ratios, and height-distance applications to cut calculation time.

Core IdentitiesPythagorean identity states sin²θ + cos²θ = 1, allowing quick finding of missing values, like if sinθ = 3/5, then cosθ = 4/5.

Reciprocal identities include tanθ = sinθ / cosθ and cotθ = 1 / tanθ.

Standard Angle MnemonicsMemorize sin values for 0°-90° using √(0/4) to √(4/4): sin30° = 1/2, sin45° = √2/2, sin60° = √3/2; reverse for cos.

Tan45° = 1 identifies θ = 45° directly when tanθ = cotθ.

Height & Distance TipsDraw right triangles and use tanθ = height/base; for 60°, base = height/√3.

Distance between points formula: d = h (cotθ₁ - cotθ₂).

Common ShortcutsProduct to sum: sinA × cosA = (1/2) sin(2A).

Eliminate invalid ratios: sinθ or cosθ never exceeds 1.

Always sketch triangles for visualization before applying ratios.