Inverse Trigonometry
`\color{brown}"Proof : "`
`cos(2cos^{-1}x)=2x^2-1`
put x= cos u
ie `cos^{-1}x=u`
then LHS=cos(2 u)=`2cos^2u-1=2x^2-1`
put x= cos u
ie `cos^{-1}x=u`
then LHS=cos(2 u)=`2cos^2u-1=2x^2-1`
Renewable Energy-Solar
The conventional energy sources are depleting at an exponential rate .The energy crisis is a major concern for the nation around. The coal will last long only for 100 years or less petroleum resource will be exhausted nearly in 50 years time. The oil producing countries it self is moving towards the introduction of renewable energy sources , major among them is Solar energy. The energy production in the sun is by the nuclear fusion , hydrogen in the core of sun is converting in to heavier nucleus helium during this process the nuclear binding energy is liberating in the form useful energy . The plants can absorb the visible light and utilize it for photosynthesis . The use of solar energy by natural means is coming only 1 to 2 % , rest of the energy is un utilized The solar energy capturing technique (Photo Voltaic) was introduced by Charles Fritts in the year 1883 The solar energy can be utilized in the following ways 1. Solar heaters 2. Solar C
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