conditional slgebra identities


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Conditional Trigonometric Identities
In the above topics many identities have been discussed. They are true for all values of the angles for which trigonometric functions are defined. In this section we prove identities, where a certain relationship exists among the angles considered. Many interesting a..
Conditional Trigonometric Identities
In the previous sections many identities have been discussed. They are true for all values of the angles for which trigonometric functions are defined. In this section we prove identities, where a certain relationship exists among the angles considered. Many interesting and impo..
Variation
Variation may be defined as differences among individuals of a species. All around us we see different organisms belonging to different species. Within each species too, no two individuals are identical to each other. Asexual reproduction produces identical offspring called clon..
Crystallization
Crystals are solid particles bounded by plane surfaces, which make definite angles with each other. This gives a definite geometrical shape to the crystal. These shapes are different for different crystals (Fig.6.13). Crystals of the same substance are identical only under iden..
Study of Twins
The monozygotic (identical twins) develop from a single zygote by separation of the two blastomeres after the first cleavage. Therefore, they have similar genetic traits, except for rare chances of mutation. Fraternal twins develop from different zygotes. Therefore, they are no more alike..
Advantages and Disadvantages of Vegetative Propagation
Advantages - The offsprings are genetically identical and therefore advantageous traits can be preserved. Only one parent is required which eliminates the need for special mechanisms such as pollination, etc. It is faster. For example, bacteria can multiply every 20 minutes. This helps th..
Significance of Mitosis
Mitosis becomes significant for the following reasons. Mitosis forms two daughter cells which will have the same chromosome number and same genetic material as the parent cell. Daughter cells formed from mitosis are genetically identical to their parent cell and no variation would be intr..
Crystallisation
crystals shapes Crystals are solid particles bounded by plane surfaces, which make definite angles with each other. This gives a definite geometrical shape to the crystal. These shapes are different for different crystals (Fig.6.13). Crystals of the same substance are identical only under identical..
XX-XY Type
This type of sex determination occurs in insects and mammals including human beings. Here, the females have two identical homologous sex chromosomes designated as XX and the males have two dissimilar sex chromosomes designated as X and Y. Thus, females are homogametic, producing only one ..
Solar Constant
The amount of solar energy received per second by one square metre of the near earth space (exposed perpendicularly to the rays of the sun) at an average distance between the sun and the earth is called solar constant. Solar constant = 1.4 kW/m 2 Black Surfaces Absorb More Heat than White Surfa..
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