1 Answer

Chrona · Answer 1 · 2023-10-17T23:50:50+0000

Explanation:

$\quad \twoheadrightarrow\sf {cos \; \theta = (Base)/(Hypotenuse) } \\$

Hence, base = 2 units and hypotenuse = 3 units.

$\quad \twoheadrightarrow\sf { H^2 = B^2 + P^2} \\$

$\quad \twoheadrightarrow\sf { P^2 = H^2 - B^2} \\$

$\quad \twoheadrightarrow\sf { P^2 = (3)^2 - (2)^2} \\$

$\quad \twoheadrightarrow\sf { P^2 = 9- 4} \\$

$\quad \twoheadrightarrow\bf { P = √(5)} \\$

Now, we know that :

$\quad \twoheadrightarrow\sf {cosec \; \theta = (Hypotenuse)/(Perpendicular) } \\$

$\quad \twoheadrightarrow\bf{cosec \; \theta = (3)/(√(5)) } \\$

Therefore, the required answer is 3/√5.

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