1 - cosa + cos2a / sin2a - sina = ctga
To simplify this expression, we first look for common terms that can be factored out:
cos2a can be written as 2cos^2(a) - 1
1 - cosa + 2cos^2(a) - 1 / sin2a - sina
Now, we can simplify further:
2cos^2(a) - cosa / sin2a - sina
Next, we can factor out a cos(a) from the numerator and a sin(a) from the denominator:
cos(a)(2cos(a) - 1) / sin(a)(2cos(a) - 1)
Now, we can cancel out the common term in the numerator and denominator:
cos(a) / sin(a) = ctga
Therefore, the expression simplifies to ctga.
1 - cosa + cos2a / sin2a - sina = ctga
To simplify this expression, we first look for common terms that can be factored out:
cos2a can be written as 2cos^2(a) - 1
1 - cosa + 2cos^2(a) - 1 / sin2a - sina
Now, we can simplify further:
2cos^2(a) - cosa / sin2a - sina
Next, we can factor out a cos(a) from the numerator and a sin(a) from the denominator:
cos(a)(2cos(a) - 1) / sin(a)(2cos(a) - 1)
Now, we can cancel out the common term in the numerator and denominator:
cos(a) / sin(a) = ctga
Therefore, the expression simplifies to ctga.