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Prove that tan72^(@)=tan18^(@)+2tan54^(@...

Prove that `tan72^(@)=tan18^(@)+2tan54^(@)`.

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Prove that tan 72^(@)=tan 18^(@)+2 tan 54^(@)

Prove that tan70^(@)-tan20^(@)=2tan50^(@) .

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

Prove that tan 70 - tan 20 ^(@)=2 tan 50^(@)

If tan20^(@)=p then prove that = (tan610^(@)+tan700^(@))/(tan 560^(@)-tan470^(@)) = (1-p^(2))/(1+p^(2))

tan1^(@).tan2^(@).tan3^(@)...tan89^(@)=

Tan20^(@) + 2Tan50^(@) =

Prove that tan A. (tan 60^(@) +A). Tan (60^(@)-A)=tan 3A and hence find the value of tan 6^(@) tan 42^(@) tan 66^(@) tan 78^(@) .

Prove that tan.(A)/(2)+tan.(B)/(2)+tan.(C)/(2)=(bc+ca+ab-s^(2))/(Delta)

VIKRAM PUBLICATION ( ANDHRA PUBLICATION)-TRIGONOMETRIC RATIOS UPTO TRANSFORMATIONS-EXERCISE - 6(C)
  1. Evaluate sum(sigmatauv(X-A))/(sigmatauvXsigmatauvA) if none of sinA, s...

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  2. Prove that cos35^(@)+cos85^(@)+cos155^(@)=0

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  3. Prove that tan72^(@)=tan18^(@)+2tan54^(@).

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  4. Prove that sin750^(@)cos480^(@)+cos120^(@)cos60^(@)=(-1)/2

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  5. Prove that cos A + cos((4pi)/3 -A) + cos ((4pi)/3 + A) = 0.

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  6. Prove that cos^(2)theta+cos^(2)((2pi)/(3)+theta)+cos^(2)((2pi)/(3)-the...

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

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  8. Find the value of cos^(2)112 1/2-sin^(2)52 1/2.

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  9. Evaluate sin^(2)((pi)/(8)+(theta)/(2))-sin^(2)((pi)/(8)-(theta)/(2))

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  10. Find the value of cos^(2)52(1^@)/(2) - sin^(2)22 (1^@)/2

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  11. Find the maximum and minimum value of f(x)=3cosx+4sinx

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  12. Find the minimum and maximum values of sin2x-cos2x

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  13. Find the range of 7 cos x - 24 sin x +5

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  14. Find the range of 13cosx+3sqrt3 sin x-4

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  15. If cos alpha = (-3)/5 and sin beta = 7/25 where (pi)/2 lt alpha lt pi ...

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  16. If 0 lt A lt B lt (pi)/(4) and sin (A+B)=(24)/(25) and cos (A-B)= (4)/...

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  17. If A+B, A are acute angles such that sin (A+B)=(24)/(25) and tan A=(3)...

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  18. If tan alpha - tan beta =m and cot alpha - cot beta =n, then prove tha...

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  19. If tan (alpha- beta )= (7)/(24) and tan alpha =(4)/(3), where alpha an...

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  20. Find the expansion of sin(A+B-C).

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