IF cosx + sin X =✓2 cosx, prove that cosx - sinx =✓2sinx
Answers
Step-by-step explanation:
Q1. Read the following passage : (7)
Most scientists feel that a world population of between one and two billion can live on the Earth in a sustainable manner with a reasonable standard of living. As it stands, the world population is at least three times that of the recommended level. Combined with what is a reasonable standard of living, everyone would have an acceptable job, sufficient housing, a varied diet without fear of food and water shortages, adequate health care, education. Obviously, most people do not enjoy this standard of living. If the six billion people presently populating the earth cannot attain such a standard of living and the population swells between eight and ten billion, how can they attain such a standard of living with the scarce resources available? But a point to consider is that with more people comes more human capital. With more human capital, there is a likelihood that we will discover a technological solution to the overpopulation problem. Scientists compare population growth to the growth of a cancerous tumour. Both are characterised by rapid, uncontrolled growth, invasion and destruction of adjacent areas and the loss of differentiation between individual components. Any two or more of these symptoms are indicative of cancer in the body. The human population currently displays all these symptoms. Uncontrolled human population growth will not necessarily destroy the earth, but civilization in its present form could collapse as in the case of Easter Island.
Complete the following statements:
1) Scientists believe that world population can survive with _____________ 2) A reasonable standard of living means availability of_________________.
3) Scientists compare population growth to a cancerous tumour as _______. 4) Easter Island came to an due to _________________________________.
5) The word which means the same as ‘probability’ in the passage is ______.
6) The antonym of ‘scarce’ is _____________________________________.
7) The synonym of ‘swift’ in the passage is ___________________