Prove that : (tanØ + secØ – 1). (tanØ +1+secØ)
2 sin Ø
1-sin Ø
Answers
Question :-
Write the properties and uses of diamond.
Answer :-
Properties
1. Brilliant and pure diamond is the hardest natural substance.
2. The density of diamond is 3.5 g/cm³.
3. The melting point of diamond is 3500°C.
4. When diamond is heated at 800°C in the presence of Oxygen CO² is given away. In this process no other product besides CO² is formed.
5. Diamond does not dissolve in any solvent.
6. Acids/bases have no effect on diamond.
7. Diamond is a bad conductor of electricity and it does not have free electrons.
Uses
1. Diamonds are used in glass cutting and rock drilling machines.
2. Diamonds are used in ornaments.
3. Diamond knives are used in the eye surgery.
4. Diamond dust is used for polishing other diamonds.
5. Diamond is used to make windows giving protection from radiation in space and artificial satellites.
the 2nd:
LS = (1-sinØ)/(1+ sinØ)
= (1-sinØ)/(1+ sinØ) * (1-sinØ)/(1- sinØ)
= (1 - 2sinØ + sin^2 Ø)/(1 - sin^2 Ø)
= (1 - 2sinØ + sin^2 Ø)/cos^2 Ø
= 1/cos^2 Ø - 2sinØ/cos^2 Ø + sin^2 Ø/cos^2Ø
= sec^2 Ø - 2(sinØ/cosØ)*(1/cosØ) + tan^2 Ø
= sec^2 Ø - 2tanØ secØ +