Question

Write all the formula of trignometery​

Answer 1

$\huge\underline\mathfrak{Question-}$

Write all the formulae of ttrignometery.

$\huge\underline\mathfrak{Solution-}$

Ratios :

• Sinθ = $\dfrac{Perpendicular}{Hypotenuse}$

• Cosθ = $\dfrac{Base}{Hypotenuse}$

• Tanθ = $\dfrac{Perpendicular}{Base}$

• Cosecθ = $\dfrac{Hypotenuse}{Perpendicular}$

• Secθ = $\dfrac{Hypotenuse}{Base}$

• Cotθ = $\dfrac{Base}{Perpendicular}$

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Reciprocals :

• Sinθ = $\dfrac{1}{Cosecθ}$

• Cosθ = $\dfrac{1}{Secθ}$

• Tanθ = $\dfrac{1}{Cotθ}$

• Cosecθ = $\dfrac{1}{Sinθ}$

• Secθ = $\dfrac{1}{Cosθ}$

• Cotθ = $\dfrac{1}{Tanθ}$

• Tanθ = $\dfrac{Sinθ}{Cosθ}$

• Cotθ = $\dfrac{Cosθ}{Sinθ}$

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Some identities :

• Sin²θ + Cos²θ = 1

• Sin²θ = 1 - Cos²θ

• Cos²θ = 1 - Sin²θ

• Cosec²θ - Cot²θ = 1

• Cosec²θ = 1 + Cot²θ

• Cot²θ = Cosec²θ - 1

• Sec²θ - Tan²θ = 1

• Sec²θ = 1 + Tan²θ

• Tan²θ = Sec²θ - 1

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Answer 2

✔Let's start

$\sin( \theta ) = \frac{opposite \: side}{hypotenuse}$

$\ \cos( \theta ) = \frac{adjacent \: side}{hypotenuse}$

$\tan( \theta) = \frac{opposite \: side}{adjacent \: side}$

$\sec( \theta) = \frac{hypotenuse}{adjacent \: side}$

$\csc( \theta) = \frac{opposite \: side}{hypotenuse}$

$\cot( \theta) = \frac{adjacent \: side}{opposite \: side}$

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