Question

Please check my answers

if cos ø =7/8
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Answer 1

Answer:

Your Answer is Wrong.

Step-by-step explanation:

Given that:------

cos a = 7/8

$\frac{(1 + \sin(a))(1 - \sin(a)) }{(1 + \cos(a))(1 - \cos(a) )}$

Proof:--------

$\frac{(1 + \sin(a))(1 - \sin(a) ) }{(1 + \cos(a) )(1 - \cos(a)) }$

$= \frac{1 - { \sin}^{2}a }{1 - { \cos }^{2} a}$

$= \frac{ { \cos}^{2}a }{1 - { (\frac{7}{8} )}^{2} }$

$= \frac{ { ( \frac{7}{8} ) }^{2} }{1 - { \frac{49}{64} }}$

$= \frac{ \frac{49}{64} }{ \frac{64 - 49}{64} }$

$= \frac{49}{64 - 49}$

$= \frac{49}{15}$

Therefore, the answer is 49/15 and so your answer is wrong. Your mistake was in the second step itself while substituting values.

Hope it helps you.

Good Luck.