$cosec \: x - sin \: x = cos \: x \: cot \: x \\ \\ L.H.S\\= cosec \: x - sin \: x \\ = \frac{1}{sin \: x} - sin \: x \\ \\ = \frac{1 - { \sin}^{2}x }{sin \: x} \\ \\ = \frac{ { \cos}^{2}x }{sin \: x} ...( \because \: 1 - { \sin}^{2} \theta = { \cos}^{2} \theta)\\ \\ = \frac{cos \: x \times cos \: x}{ \sin \: x} \\ \\ = \cos \: x \times \frac{\cos \: x}{ \sin \: x} \\ \\ = \cos x \: \cot x \\ = R.H.S\\ Thus \: proved \\$

6 0

4 years ago

Based on its use in the sentence, what is the meaning of the word desolate?

torisob [31]

Answer:

Deserted

Explanation:

Desolate means deserted.

8 0

3 years ago

Read 2 more answers

How does family play a role in shaping our values and beliefs? Must be a paragraph long

velikii [3]

Answer:

Explanation:

Parents,Family members,Friends,all shape one's worldview and teach them how to respond to different things in life.This influence can either push one to repeat or work towards living and believing differently.Although one's life is not destined to follow in their upbringing,it will always have some influence.

5 0

3 years ago