Question

প্রমাণ কর যে, $sec^2\theta+cosec^2\theta=$$sec^2\theta \cdot cosec^2\theta$

Answer 1

Left Hand Side,
$=sec^2\theta+cosec^2\theta$

$=\frac{1}{cos^2\theta}+\frac{1}{sin^2\theta}$

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

$=\frac{1}{cos^2\theta \cdot sin^2\theta}$

$=\frac{1}{cos^2\theta} \cdot \frac{1}{sin^2\theta}$

$=sec^2\theta \cdot cosec^2\theta$

$=$ Right Hand Side

[Proved]