in a right triangle abc right angled at b if sin a =3/5 find all six trigonometric ratios
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{ H² = P² + B²
B² = 5² - 3²
B = 4 }
➡Sin A = P / H = 3 / 5
➡Cos A = B / H = 4 / 5
➡Tan A = P / B = 3 / 4
➡Cot A = B / P = 4 / 3
➡Sec A = H / B = 5 / 4
➡Cosec A = H / P = 5 / 3
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Step-by-step explanation:
By pythagoras theorem,
=> h² = p² + b²
=> 5² = 3² + b²
=> 25 - 9 = b²
=> 16 = b²
=> 4 = b
Therefore,
sin A = 3/5
cos A = 4/5
tan A = 3/4
cosec A = 5/3
sec A = 5/4
cot A = 4/3
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