Question

find the value if
$\frac{1 - \sec(30) }{1 + \cosec(30) }$
​

Answer 1

Answer:

$\frac{1 - \sec(30) }{1 + \cosec(30) } = \frac{1 - \frac{2}{ \sqrt{3} } }{1 + 2} \\ = \frac{ \frac{ \sqrt{3 } - 2}{ \sqrt{3} } }{3} \\ = \frac{ \sqrt{3} - 2}{ \sqrt{3} } \times \frac{1}{3} \\ = \frac{ \sqrt{3} - 2 }{3 \sqrt{3} }$

Answer 2

Answer:

1−sec(30)

=

1+2

1−

3

2

=

3

3

3

−2

=

3

3

−2

×

3

1

=

3

3

3

−2