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Rodrigues rotation

I do not understand the difference between these two equations:


1. from wikipedia:
wiki Rodrigues formula

https://en.wikipedia.org/wiki/Rodrigues%27_rotation_formula


2. from open CV doc:
cv2 Rodrigues formal

http://docs.opencv.org/2.4/modules/calib3d/doc/camera_calibration_and_3d_reconstruction.html#void%20Rodrigues(InputArray%20src,%20OutputArray%20dst,%20OutputArray%20jacobian)


Where is the cos(θ) gone on the wiki page in the formula 1. ?

Shouln't it be: v_{rot} = cos(θ)v + sin.... ?

Then on the wiki page, there is no more cos(θ) in the definition of R...


Or did I miss something?