Question

Find the six trigonometric ratios by using
following measures:-
opposite side = 5
Adjacent side = 2​

Answer 1

Hello mate..

$\huge \pink{✻}\purple{\mathfrak {answer}} \pink{✻}$

Before finding the six trigonometric ratios, we need to know what are those ratios and their formula!

$\bold{Sin θ = \frac{Opposite \: Side \: to \: θ}{Hypotenuse}} \\ \bold{ Cos θ = \frac{Adjacent \: Side \: to \: θ}{Hypotenuse}} \\ \bold{Tan θ = \frac{Opposite \: Side}{Adjacent \: Side} \: or \: \frac{Sin θ}{Cos θ}} \\ \bold{ Cot θ = \frac{Adjacent \: Side}{Opposite \: Side} \: or \: \frac{1}{tanθ} }\\ \bold{Sec θ = \frac{Hypotenuse}{Adjacent \: Side} \: or \: \frac{1}{cos θ}} \\ \bold{ Cosec θ = \frac{Hypotenuse}{Opposite \: Side} \: or \: \frac{1}{sin θ}}$

Hypotenuse = a² + b² = c²

=> 5² + 2² = c²

=> 25 + 4 = c²

=> 29 = c²

$\bold{\sqrt{29} = c}$

=> c = 5.3

Then,

$\bold{sinθ = \frac{5}{5.3} } \\ \bold{cosθ = \frac{2}{5.3} } \\ \bold {tanθ = \frac{5}{2} }$

$\bold{cotθ = \frac{2}{5} } \\ \bold{secθ = \frac{5.3}{2} } \\ \bold{cosecθ = \frac{5.3}{5} }$

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HOPE THIS HELPS YOU..