Question

If cosecø=2,show that(cotø+sinø/1+cosø)=3/4​

Answer 1

Hey friend here is the solution for this question.....

$\csc(x) = 2 \\ means \geqslant \: \sin(x) = \frac{1}{2}$

$x = 30$

put value of x in

$\frac{( \cot(x) + \sin(x) ) }{1 + \cos(x) } = \frac{ \sqrt{3} + \frac{1}{2} }{1 + \frac{ \sqrt{3} }{2} }$

$\frac{2 \sqrt{3} + 1}{2 + \sqrt{3} } = \frac{(2 - \sqrt{3} ) \times ( 2 \sqrt{3} + 1)}{4 - 1}$

$= 3 \sqrt{3} - 4$

i am afraid it can't be 3/4 so please check your question again...

If you liked my solution then please don't forget to mark it as brainliest answer.

Answer 2

Step-by-step explanation:

Hey friend here is the solution for this question.....

\begin{gathered}\csc(x) = 2 \\ means \geqslant \: \sin(x) = \frac{1}{2}\end{gathered}

csc(x)=2

means⩾sin(x)=

2

1

x = 30x=30

put value of x in

\frac{( \cot(x) + \sin(x) ) }{1 + \cos(x) } = \frac{ \sqrt{3} + \frac{1}{2} }{1 + \frac{ \sqrt{3} }{2} }

1+cos(x)

(cot(x)+sin(x))

=

1+

2

3

3

+

2

1

\frac{2 \sqrt{3} + 1}{2 + \sqrt{3} } = \frac{(2 - \sqrt{3} ) \times ( 2 \sqrt{3} + 1)}{4 - 1}

2+

3

2

3

+1

=

4−1

(2−

3

)×(2

3

+1)

= 3 \sqrt{3} - 4=3

3

−4

i am afraid it can't be 3/4 so please check your question again...

If you liked my solution then please don't forget to mark it as brainliest answer.