Question

if COSX = 4/5 ,then tanX

Answer 1

Answer:

3/4

Step-by-step explanation:

cos x = 4/5

sin x = √( 1 - cos²x)

sin x = √( 1 - 16/25)

sin x = √ 9/25

sin x = 3/ 5

tan x = sin x ÷ cos x

tan x = 3/5 ÷ 4/5

tan x = 3/4

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Answer 2

Step-by-step explanation:

cos x = 4/5

sin² x + cos² x = 1

sin² x + (4/5)² = 1

sin² x + 16/25 = 1

sin² x = 1 -(16/25)

sin² x = 9/25

sin x = 3/5

$\tan(x) = \frac{ \sin(x) }{ \cos(x) } = \frac{ \frac{3}{5} }{ \frac{4}{5} } = \frac{3}{4}$