Question

প্রমাণ কর যে, $tan\theta + cot \theta= $$sec \theta \cdot cosec \theta$

Answer 1

Left Hand Side
$=tan\theta + cot \theta$

$=\frac{sin\theta}{cos\theta} + \frac{cos\theta}{sin\theta}$

$=\frac{sin^2\theta+cos^2\theta}{sin\theta \cdot cos\theta}$

$=\frac{1}{sin\theta \cdot cos\theta}$

$=\frac{1}{sin\theta} \cdot \frac{1}{cos\theta}$

$=sec \theta \cdot cosec \theta$

$=$Right Hand Side

[Proved]