Question

basics Clear them..........

Answer 1

$1. \: \: \frac{ \cos( \alpha ) }{ \cos( \alpha ) } = 1$

$2. \: \: \frac{ \cos( \alpha ) + 1}{ \cos( \alpha ) + 1} = 1$

3. You can not cancel (2+cos@) from numerator and denominator as it is not MULTIPLIED in numerator.

If you are given a+b+c/e×(b+c), you can't cancel the b+c.

$\frac{1 + \cos( \alpha ) }{ \cos( \alpha ) } \\ \\ = \frac{1}{ \cos( \alpha ) } + \frac{ \cos( \alpha ) }{ \cos( \alpha ) } \\ \\ = \sec( \alpha ) + 1$


5. Correct. tanA from numerator gets cancelled with one tanA in denominator.

6. Correct. (1+sin@) gets cancelled in numerator and denominator.
only sin@ remains in denominator and 1 in numerataor

7-8-9 All correct