Question

sin e
9. If cosec 0 = 2, show that coto+
1 + cos 0
= 2.​

Answer 1

Answer:

$\cosec \theta = 2 \\ \cosec \theta = \cosec 30 \degree \\ \theta = 30 \degree \\ \\ \\ \cot \theta + \frac{ \sin \theta}{1 + \cos \theta} = 2 \\ \\ \cot 30 \degree + \frac{ \sin 30\degree}{1 + \cos 30\degree} = 2 \\ \\ \sqrt{3} + \frac{ \frac{1}{2} }{1 + \frac{ \sqrt{3} }{2} } = 2 \\ \\ \sqrt{3} + \frac{1}{2 + \sqrt{3} } = 2 \\ \\ \sqrt{3} + \frac{1}{2 + \sqrt{3} } \times \frac{2 - \sqrt{3} }{2 - \sqrt{ 3} } = 2 \\ \\ \sqrt{3} + \frac{2 - \sqrt{3} }{4 - 3} =2 \\ \\ \sqrt{3} + 2 - \sqrt{3} = 2 \\ \\ 2 = 2 \\ L.H.S=R.H.S \\ \\ \red{\mathfrak{ \large{\underline{{Hope \: It \: Helps \: You}}}}} \\ \blue{\mathfrak{ \large{\underline{{Mark \: Me \: Brainliest}}}}}$