Question

If Coseco= √10 find the values of other t-ratios​

Answer 1

Step-by-step explanation:

$\large\bold \red{Given :- }$

➡ Cosec θ = √10

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$\large \bold \red{To \: Find :- }$

➡ The other values of T-ratios of θ

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$\large \bold \red{Solution →}$

We know that,

➡ Cosec θ = AB/BC

➡ Hypotenuse / Perpendicular

➡ ( k√10 ) / k

By Pythagoras Therom,

$\large \bold {➡ \: {AC}^{2} = {AB}^{2} + {BC}^{2} } \\ \\ \large \bold{➡ \: 10k {}^{2} + {k}^{2} } \\ \\ \large \bold {➡ {9k}^{2} } \\ \\ \large \bold \pink{AC = 3k}$

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$\large \bold \red{Now,}$

Find other T-rations using their properties :-

➡ Sin θ = BC/AB = 1/√10

➡ Cos θ = AC/AB = (3k)/(k√10) = 3/√10

➡ Tan θ = BC/AC = sin θ /cos θ = 1/3

➡ Sec θ = AB/AC = 1/cos θ = √10/3

➡ Cot θ = AC/BC = 1/tan θ = 3

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$\large\colorbox{pink}{Hope lt'z Help You ❥ }$