if sin A =4/5 find the value of sinA-cotA/2tanA
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Answered by
7
Step-by-step explanation:
sin A = 4/5 = Opposite side/Hypotenuse
Let common ratio be 'k'
Therefore
Opposite side = 4k
Hypotenuse = 5k
According to Pythagoras Theorem
(Adjacent side)² = (Hypotenuse)² - (Opposite side)²
Adjacent side = √((5k)² - (4k)²)
Adjacent side = 3k
Now,
cot A = Adjacent side/Opposite side
cot A = 3k/4k
cot A = 3/4
&
tan A =1/(cot A)
or, tan A = 4/3
Substituting in question, we get
((4/5) - (3/4))/2(4/3)
=> ((16 - 15)/20)/(8/3)
=> (1/20)/(8/3)
=> 3/160
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4
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