General Trigonometry Formula

$$ 1. \ \sin \theta = \frac {1}{\text{cosec} \ \theta} $$

$$ 2. \ \cos \theta = \frac {1}{\sec \theta} $$

$$ 3. \ \tan \theta = \frac {1}{\cot \theta} = \frac {\sin \theta}{\cos \theta} $$

$$ 4. \ \sec \theta = \frac {1}{\cos \theta} $$

$$ 5. \ \text{cosec} \ \theta =\frac {1}{\sin \theta} $$

$$ 6. \ \cot \theta = \frac {1}{\tan \theta} = \frac {\cos \theta}{\sin \theta} $$

$$ 7. \ \sin^2 \theta+ \cos^2 \theta = 1 $$

$$ 8. \ \sec^2 \theta – \tan^2 \theta = 1 $$

$$ 9. \ \text{cosec}^2 \ \theta - \cot^2 \theta = 1 $$

$$ 10. \ \tan \theta \times \cot \theta = 1 $$