3 tan a=4 then find the all other trigonometric ratios
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Answer:
Given
sin A = 3/5 and A is an acute angle
Find out
All other trigonometric ratios
So, in ∆ABC we have ∠B = 90o
And,
AC = 5 and BC = 3
By Pythagoras theorem,
AB = √(AC2 – BC2)
= √(52 – 32) = √(25 – 9) = √16
= 4
Now,
cos A = AB/AC = 4/5
tan A = BC/AB = 3/4
cot A = 1/tan θ = 4/3
sec A = 1/cos θ = 5/4
cosec A = 1/sin θ = 5/3
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Step-by-step explanation:
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