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Ram Kushwah 6 years, 9 months ago
{tex}\theta{/tex} is a simple letter of greek language like a,b ..x ,y.
So need get confused
You can use {tex}\theta{/tex} like x,y a,b,m or n.....
{tex}\theta{/tex} is commonly used to indicate angle in trigonometry,But it is not fixed
we are also using A,x ... in trigonometry,
So no any fixed value of {tex}\theta{/tex}, it is used as variable.
Posted by Ravinder Arya 6 years, 9 months ago
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Posted by Jyoti Yadav 6 years, 9 months ago
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Ram Kushwah 6 years, 9 months ago
Sum=4n-1/n(1+2+3+........n)
=4n-1/n*n(n+1)/2
=4n-(n+1)/2
=1/2(8n-n-1)
=1/2(7n-1)
Ram Kushwah 6 years, 9 months ago
Series becomes:
4x n-1/n(1+2+3+.......n)
=4n-1/n*n(n+1)/2
=4n-(n+1)/2
=1/2(8n-n-1)
={tex}\frac{7n-1}{2}{/tex}
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Ram Kushwah 6 years, 9 months ago
In {tex}\triangle{/tex}AOP
OP=2r and OA =r
SO sin APO=OA/OP=r/2r=1/2=sin 30
So {tex}\angle APO=30 {/tex}
Similarly {tex}\angle BPO=30 {/tex}
So {tex}\angle APB=30+30=60 {/tex}
Now in {tex}\triangle{/tex}APB
{tex}\angle PAB=\angle PBA {/tex} (as PA=PB)
so {tex}\angle PAB=\angle PBA=\angle APB=60 {/tex}
Hence {tex}\triangle{/tex}PAB is an equilateral triangle
Posted by The Gaurav Rider 6 years, 9 months ago
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Deep Yadav 6 years, 9 months ago
0Thank You