Question

If cos y = 2/3 then tan x is equal to​

Answer 1

Step-by-step explanation:

cos = base/hypotenuse

cos y = 2/3

Therefore, 2 is base and 3 is hypotenuse.

tan = Height/base.

But we don't know height.

To find height :-

2² + height² = 3² (Pythagoras theorem)

= height² = 9 - 4 = 5

= height = $\sqrt{5}$

Therefore, tan y = $\sqrt{5}$/2. (Ans)

Here is your answer. Hope it helps!