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How to solve this ?
to find the value of tan x if cos x=1/5

How to solve this ? to find the value of tan x if cos x=1/5-example-1
User Megalomono
by
8.5k points

1 Answer

4 votes

Answer:

-2√6.

Explanation:

sin^2 x = 1 - (1/5)^2

= 24/25

sin x = +/-√24/5

tan x = sin x / cos x

= +/- √24/5 / 1/5

= +/-√24

As angle x is in the 4th quadrant the tan is negative, so:

tan x = -√24

= -2√6.

User Jon Martin Solaas
by
7.9k points

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