Question

Prove that sin theta=1/cosec theta​

Answer 1

$\: \: \: \: \: \: \: \: \: \: \: \: \: \: \sin \: θ = \frac{1}{ \cosec θ}$

$\: \: \: \: \: \: \: \: \: \: \sin θ = \frac{perpendicular}{hypotenuse}$ ----- 1

$\: \: \: \: \: \: \: cosec \: θ = \frac{hypotenuse}{perpendicular}$ -----2

$multiply \: equation {}^{1} \: with \: equation {}^{2}$

$\:\:\:\:\sin \: θ \: \times \cosec \: θ = \frac{p}{h} \times \frac{h}{p}$

$\:\:\:\:\sin \: θ \: \times \cosec \: θ = 1$

$\:\:\:\:\sin \: θ \: = \frac{1}{ \cosec \: θ}$

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