Question

Look at the figure:An image of a right triangle is shown with an angle labeled x.

If tan x° = j divided by 11 and sin x° = j divided by k, what is the value of cos x°?

cos x° = 11k
cos x° = 11j
cos x° = k divided by 11
cos x° = 11 divided by k

Answer 1

cos x° = 11 divided by k

Step-by-step explanation:

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Answer 2

cos x° = 11 divided by k

Step-by-step explanation:

Basic trigonometric identities are connected through a simple equation; tan x°=sin x°/cos x°, or speaking in letters: tangent of an angle is equal to the sine of that angle divided by the cosine of the same angle. So, in this case:

sin x° = j/k

tan x° = j/11

cos x° =?

Since tan x° = sin x°/cos x° that means that cos x° = sin x°/ tan x°

cos x° = j/k divided by j/11 which is equal to 11/k.