Question

If 3 cos θ = 1, then cosec θ is equal to:

Answer 1

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3/2√2

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Answer 2

If 3 cos θ = 1, then cosec θ is equal to:

>$3 cos θ = 1$

>$cos θ = \frac{1(b)}{3(h)}$

By Pythagoras theorem

>${(h)}^{2} = {(b)}^{2} + {(p)}^{2}$

>${(3)}^{2} = 1 + {p}^{2}$

>${p}^{2} = 8$

>$p = 2\sqrt{2}$

>$cosec \theta = \frac{h}{p} = \frac{3}{2 \sqrt{2} }$