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Show that the value of (tan x+ 2 tan2x)/...

Show that the value of `(tan x+ 2 tan2x)/(tanx)` cannot lie within 1 and 5.

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CHHAYA PUBLICATION-MISCELLANEOUS EXAMPLES-TRIGONOMETRY
  1. Show that : (1)/(cos alpha- cos3 alpha)+(1)/(cos alpha- cos5 alpha)+...

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  2. If cos alpha=(sin y)/(sinx), cos beta= (sinz)/(sin x) and cos (alpha- ...

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  3. Show that the value of (tan x+ 2 tan2x)/(tanx) cannot lie within 1 and...

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  4. If alpha+ beta=(pi)/(3)(alpha gt 0 , beta gt 0) find the maximum value...

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  5. Solve sqrt(2 cos^(2)x+1)+ sqrt(2 sin^(2)x+1)=2 sqrt(2)

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  6. If tan alpha= x tan beta (x gt0), show that tan^(2)(alpha- beta) le ((...

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  7. Prove that cos theta(sin theta +-sqrt(sin^(2) theta+ sin^(2) alpha)) a...

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  8. If cos^(2) theta=(a^(2)-1)/(3) and "tan"^(2) (theta)/(2)= tan^((2)/(3)...

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  9. Prove that "cos"^(8) (pi)/(8)+ "cos"^8 (3pi)/(8)+"cos"^(8) (5pi)/(8)+"...

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  10. Prove that cos^(2)40^(@)cos^(2)80^(@)+cos^(2)80^(@)cos^(2)20^(@)+cos^(...

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  11. If x+a= a(2 cos theta-cos 2 theta) and y= a(2 sin theta- sin 2 theta),...

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  12. Show that the value of tan (theta+(pi)/(6)) cot( theta-(pi)/(6)) canno...

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  13. In a triangle of base a, the ratio of the other two sides is r (lt 1)....

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  14. In an acute angled triangle ABC, prove that tan^(2)a+tan^(2)B+tan^(2) ...

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  15. Given sin alpha+ cos alpha+tan alpha+ cot alpha+ sec alpha=7, find th...

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  16. If tan theta= sqrt((a-b)/(a+b))"tan"(A)/(2) and cos varphi =(b+ a cos ...

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  17. Solve : sqrt(tan alphax+ sin x)+ sqrt(tan x-sinx)=2 cos sqrt(tanx)

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  18. Determine the smallest positive value of x ( in degrees for which) ...

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  19. Find the value of "sin"(pi)/(18)"sin" (5pi)/(18)"sin"(7pi)/(18)

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  20. If tan alpha=(x)/(y), then show that x "cosec" (alpha)/(3)- y "sec" ...

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