To solve the equation tgx*ctgx = cosx, we can rewrite the expression in terms of sine and cosine functions.
Recall that tangent (tgx) is equal to sine (sinx) divided by cosine (cosx), and cotangent (ctgx) is equal to cosine (cosx) divided by sine (sinx).
Therefore, tgxctgx = (sinx/cosx) (cosx/sinx) = 1
So, the equation simplifies to 1 = cosx.
This means that the equation tgx*ctgx = cosx is true for all values of x.
To solve the equation tgx*ctgx = cosx, we can rewrite the expression in terms of sine and cosine functions.
Recall that tangent (tgx) is equal to sine (sinx) divided by cosine (cosx), and cotangent (ctgx) is equal to cosine (cosx) divided by sine (sinx).
Therefore, tgxctgx = (sinx/cosx) (cosx/sinx) = 1
So, the equation simplifies to 1 = cosx.
This means that the equation tgx*ctgx = cosx is true for all values of x.