Question

Look at the figure:An image of a right triangle is shown with an angle labeled x. If tan x° = 6 divided by g and sin x° = 6 divided by h, what is the value of cos x°? cos x° = h divided by g cos x° = g divided by h cos x° = gh cos x° = 6g

Answer 1

Let's draw the triangle.

tan x = opposite divided by adjacent while sin x = opposite divided by hypotenuse

Because tan x° = 6 divided by g and sin x° = 6 divided by h, we can conclude that 6 is the length of the opposite side, g is the length of the adjacent side, and h is the length of the hypotenuse.

cos x ° = adjacent divided by the hypotenuse

So we know that cos x ° = g divided by h.