if cos B =1/3, then find the value of cot B
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Answer:
1/2√2
Step-by-step explanation:
Given cos B = 1/3
cos theta = adjacent side/ Hypotenuse side
So, Here adjacent side is 1 and Hypotenuse is 3.
According to Hypotenuse Formula
h^2 = s^2+s^2
s^2 = h^2-s^2
s^2 =3^2-1^2
s = √9-1=√8
s= 2√2
sin B = opposite side/Hypotenuse side
sin B = 2√2/3
cot B = cos B / sin B
cot B = 1/3 / 2√2/3
cot B = 1/2√2.
Therefore,
cot B = 1/2√2.
Answered by
1
Answer:
Given cos B = 1/3
cos theta = adjacent side/ Hypotenuse side
So, Here adjacent side is 1 and Hypotenuse is 3.
According to Hypotenuse Formula
h^2 = s^2+s^2
s^2 = h^2-s^2
s^2 =3^2-1^2
s = √9-1=√8
s= 2√2
sin B = opposite side/Hypotenuse side
sin B = 2√2/3
cot B = cos B / sin B
cot B = 1/3 / 2√2/3
cot B = 1/2√2.
Therefore,
cot B = 1/2√2.
Step-by-step explanation:
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