Math, asked by pratikjadhav4972, 2 months ago

if cos B =1/3, then find the value of cot B​

Answers

Answered by mallikkumar10
0

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 shj0570515
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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