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Show that cot.(pi)/(20). cot .(3pi)/(2...

Show that
`cot.(pi)/(20). cot .(3pi)/(20). cot.(5pi)/(20). cot .(7pi)/(20). cot.(9pi)/(20)=1`

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The correct Answer is:
`=1.1=1=R.H.S`
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cot. (pi)/(20) cot. (3pi)/(20) cot. (5pi)/(20) cot. (7pi)/(20) cot. (9pi)/(20) cot. (15pi)/(20)=

S.T cot.(pi)/(16).cot.(2pi)/(16).cot.(3pi)/(16).....cot.(7pi)/(16)=1

cot((pi)/4-2cot^(-1)3)=

cot (- (15pi)/(4))

The value of "cot"(7pi)/(16)+"2 cot"(3pi)/(8)+"cot"(15pi)/(16) is

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SRISIRI PUBLICATION-TRIGONOMETRIC RATIONS, TRANSFORMATIONS-VSAQ
  1. Show that cot.(pi)/(20). cot .(3pi)/(20). cot.(5pi)/(20). cot .(7pi)...

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  2. S.Tcot.(pi)/(16).cot.(2pi)/(16).cot.(3pi)/(16).....cot.(7pi)/(16)=1

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  3. Find the value of sin^(2)""(pi)/(10)+sin^(2)""(4pi)/(10)+sin^(2)""(6pi...

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  4. If tan20^(@) = lambda then show that (tan 160^(@) -tan 110^(@))/(1+tan...

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  5. IF sintheta=-1/3 and theta does not lie in the 3^(rd) quadrant, find t...

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  6. IF sintheta=4/5 and theta is not in the first quadrant, find the value...

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  7. If "sec" theta + tan theta = 2//3, then find the value of sin theta an...

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  8. If acos theta -bsin theta =c, then show that asine theta + bcos =pm s...

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  9. If 3sin A + 4 cos A = 5, then find the value of 4 sin theta - 3 cos th...

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  10. If cos theta + sin theta = sqrt(2) cos theta then S.T cos theta - sin ...

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  11. Show that sin 1140^(@) cos 390^(@)-cos 780^(@) sin 750^(@) = 1//2.

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  12. Show that cos 340^(@) cos 40^(@)+sin 200^(@) sin 140^(@) = 1/2.

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  13. Find the value of tan 100^(@)+tan125^(@)+tan 100^(@). Tan 125^(@).

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  14. Prove that tan 50^(@) -tan40^(@)-2tan10^(@).

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  15. Prove that (cos 9^(@)+sin9^(@))/(cos9^(@)-sin9^(@)) = cot 36^(@).

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  16. Show that cos 42^(@) + cos 78^(@) + cos 162^(@) = 0

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  17. Prove that sin 50^(@) - sin 70^(@) +sin 10^(@) =0.

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  18. Prove that cos 48^(@) . Cos 12^(@) =(3+sqrt5)/(8).

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  19. Find the value of sin^(2)82 1/2-sin^(2)22 1/2.

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  20. Prove that sin^(2)42^(@)-cos^(2)78^(@).

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