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EXPLANATION.
In a right angled triangle ABC.
⇒ AB = 10 cm.
⇒ BC = 6 cm.
As we know that,
Pythagoras Theorem.
⇒ H² = P² + B².
Hypotenuse > Perpendicular > Base.
Using this formula in the equation, we get.
⇒ AC² = AB² + BC².
Put the values in the equation, we get.
⇒ (10)² = AB² + (6)².
⇒ 100 = AB² + 36.
⇒ 100 - 36 = AB².
⇒ 64 = AB².
⇒ AB = √64.
⇒ AB = 8 cm.
sinθ = Perpendicular/Hypotenuse = 8/10.
cosθ = Base/Hypotenuse = 6/10.
tanθ = Perpendicular/Base = 8/6.
cosecθ = Hypotenuse/Perpendicular = 10/8.
secθ = Hypotenuse/Base = 10/6.
cotθ = Base/Perpendicular = 6/8.
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