cosA = 4/5. in this one of the six trigonometric ratios is given.find the values of the other trigonometric ratios
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Hey mate here is your answer.//
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Step-by-step explanation:
Given : CosA = 4/5,
CosA = 4/5 = Base/Hypotenuse,
In right ∆ ABC ,
Base (AB) = 4,
Hypotenuse (AC) = 5,
By using Pythagoras theorem,
AC² = AB² + BC²,
5² = 4² + BC²,
25 = 16 + BC²,
BC² = 25 - 16,
BC² = 9,
BC = √9,
BC = 3,
Hence, Perpendicular side (BC) = 3,
Now, sin A = Perpendicular/ Hypotenuse,
sin A = 3/5,
cosec A = Hypotenuse/Perpendicular,
cosec A = 5/ 3,
sec A = Hypotenuse / Base,
sec A = 5/4,
tan A = Perpendicular /Base,
tan A = 3/4,
cot A = Base/ Perpendicular,
cot A = 4/3.
Hope it helps you.//✔✔✔
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yr answer in the attachment................
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