Question

If cosec A = 2, find the value of
1 / tanA + sinA / 1+cosA

Standard:- 10

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Answer 1

Hey mate!

Here's ur answer dear:-)
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Refer to the attachment above✔✔

Hope it helps:)

☺☺

Answer 2

Hey Friends!!

Here is your answer↓⬇

⬇⬇⬇⬇⬇⬇⬇⬇⬇⬇⬇⬇⬇⬇

$\bf \sf{It \: is \: given \: that:-)}$

$\bf \sf{ \: Cosec A = 2.}$

▶⏩ To Find:-)

$\huge \boxed{= \frac{1}{ \tan(x) } + \frac{ \sin(x) }{1 + \cos(x) } .}$

$\bf \tan(x) = \frac{1}{ \sqrt{3} }.$
$\bf \: \sin(x) = \frac{1}{2} .$
$\bf \: \cos(x) = \frac{ \sqrt{3} }{2} .$

▶⏩ Now, put the value in the question.

$\huge \bf = \frac{1}{ \frac{1}{ \sqrt{3} } } + \frac{1}{2} \div \frac{1 + \sqrt{3} }{2} .$

$\huge \bf = \sqrt{3} + \frac{1}{2} \div \frac{2 + \sqrt{3} }{2} .$

$\huge \bf = \sqrt{3} + \frac{1}{2} \times \frac{2}{2 + \sqrt{3} } .$

$\huge \bf = \sqrt{3} + \frac{1}{2 + \sqrt{3} } .$

$\huge \bf = \sqrt{3} + \frac{1}{2 + \sqrt{3} } \times \frac{2 - \sqrt{3} }{2 - \sqrt{3} } .$

$\huge \bf = \sqrt{3} + \frac{2 - \sqrt{3} }{ ({2})^{2} - {( \sqrt{3} )}^{2} }$

$\huge \bf = \sqrt{3} + \frac{2 - \sqrt{3} }{4 - 3} .$

$\huge \bf = \sqrt{3} + \frac{2 - \sqrt{3} }{1} .$

$\huge \bf = \sqrt{3} + 2 - \sqrt{3} .$

$\huge \boxed{ = 2.}$

✅✅Hence, it is founded ✔✔.

$\huge \boxed{THANKS}$

$\huge \bf \underline{Hope \: it \: is \: helpful \: for \: you}$