Question

cos x = 4/6, then tan x is equal to *​

Answer 1

Answer:

Here

Cos x = 4/6

Given, Base = 4 , hypotenuse = 6 and Perpendicular = ?

P² = H² - B²

P² = 6² - 4²

P² = 36 - 16

P =√20

P = 2√5

Then, tan x = P/B

= 2√5/4

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Answer 2

Answer:

tan x =2√5 / 5

Step-by-step explanation:

cos x = 4/6 ( given)

W.K.T. cos x = opposite / hypotenuse

opposite = 4 k

hypotenuse = 6 k (k=constant)

W.K.T. (2√5,4,6) is a Pythagorean triplet.

Therefore, adjacent = 2√5 k

W.K.T. tan x = opposite / adjacent

tan x = 4 k / 2√5 k = 2/√5

=>2/√5 × √5/√5 (multiply by 1/√5 to rationalise the denominator)

=> 2√5/5 (√5×√5=5)

Hence tan x = 2√5/5