Another option is draw the curtain. Here is the entry for that phrase in Christine Ammer, The American Heritage Dictionary of Idioms (1997):
draw the curtain 1. Pull a curtain back or to one side to let in more light or to discover what is behind it. For example, The sun was so pleasant I drew the curtains. {c. 1500} 2. Block or conceal something. For example, Let's draw the curtain over the matter; no one needs to no more. {c. 1500}
Meaning 1 above is the appropriate sense for purposes of this question. People sometimes distinguish it from the contradictory meaning 2 by adding the word open after it, as in the example from Lara Biyuts, La Arme Blanche (2012):
Those who cannot discern lies and truth will see only a fiery-tale. But a wise man can draw the curtain open and perceive the point.
We shall draw the curtain open as well, in order to research some aspects of symbolism and the origin of so-called folklore.
And from Geoffrey Block & J. Peter Burkholder, Charles Ives and the Classical Tradition (1996):
On a small scale, Ives breaks into the highly dissonant, rhythmically driving music of the "Hawthorne" movement of the Concord Sonata to present a brief fragment of hymn music (which also pre-echoes the music of the "Alcotts" movement), just as Mahler intersects the trio of the third movement of his Seventh Symphony with occasional sudden bursts of faster music. In both cases, it is as if a curtain is drawn open, giving view to a different and totally unexpected musical landscape.
In the United States, much of the resonance of the image of drawing a curtain open to expose a fraud (or in other words, the actual person rather than the larger-than-life image) comes from the film version of The Wizard of Oz, when Dorothy's dog Toto pulls a curtain back to reveal that the huge fiery head addressing Dorothy and her friends is actually a smoke-and-mirrors trick concocted by a flimflam man of modest aspect. The man's last-ditch effort to avoid detection is to roar through a loudspeaker positioned near the head,
"Pay no attention to the man behind the curtain!"
That expression has become a catch-phrase in the United States representing the last, futile effort of an exposed fraudster to dupe the public.