Nafis Sir Chhaurahi

त्रिकोणमिति (Trigonometry)

सूत्र/अनुपातFormula
sin, cos, tan (0°, 30°, 45°, 60°, 90°)
θsinθcosθtanθ
0°010
30°12\frac{1}{2}32\frac{\sqrt{3}}{2}13\frac{1}{\sqrt{3}}
45°12\frac{1}{\sqrt{2}}12\frac{1}{\sqrt{2}}1
60°32\frac{\sqrt{3}}{2}12\frac{1}{2}3\sqrt{3}
90°10∞ (अपरिभाषित)
Fundamental Identitiessin⁡2θ+cos⁡2θ=1\sin^2\theta + \cos^2\theta = 1, sec⁡2θ−tan⁡2θ=1\sec^2\theta - \tan^2\theta = 1, csc⁡2θ−cot⁡2θ=1\csc^2\theta - \cot^2\theta = 1
Reciprocal Identitiessin⁡θ=1csc⁡θ\sin\theta = \frac{1}{\csc\theta}, cos⁡θ=1sec⁡θ\cos\theta = \frac{1}{\sec\theta}, tan⁡θ=1cot⁡θ\tan\theta = \frac{1}{\cot\theta}
Ratio Identitiestan⁡θ=sin⁡θcos⁡θ\tan\theta = \frac{\sin\theta}{\cos\theta}, cot⁡θ=cos⁡θsin⁡θ\cot\theta = \frac{\cos\theta}{\sin\theta}
Complementary Anglessin⁡(90∘−θ)=cos⁡θ\sin(90^\circ - \theta) = \cos\theta, cos⁡(90∘−θ)=sin⁡θ\cos(90^\circ - \theta) = \sin\theta, tan⁡(90∘−θ)=cot⁡θ\tan(90^\circ - \theta) = \cot\theta

Right Triangle Diagram

Right Triangle Diagram
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