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Find tan 20^(@) + tan40^(@) + sqrt(3)tan...

Find `tan 20^(@) + tan40^(@) + sqrt(3)tan20^(@)tan40^(@)`.

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The correct Answer is:
`sqrt(3)`
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A =(cos 9^(@) - sin 9^(@))/(cos 9^(@) + sin 9^(@)) , B = (cos 21^(@) + sin 21^(@))/(cos21^(@) -sin21^(@)) and C= tan 20^(@) + tan40^(@) + sqrt(3)tan20^(@) tan40^(@) then descending order is:

A=(cos9^(@)-sin9^(@))/(cos9^(@)+sin 9^(@)), B=(cos21^(@)+sin21^(@))/(cos21^(@)-sin21^(@)) and C=tan 20^(@)+tan 40^(@)+sqrt(3)tan20^(@)tan40^(@) then descending order is

tan 70^(@) - tan 20^(@)=

Assertion (A): tan40^(@) + tan 80^(@) - sqrt(3)tan 40^(@) tan80^(@)=-sqrt(3) Reason ( R): tan( A + B) =tan A + tan B + tan(A + B) tan A tan B

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

tan 20^(@) tan 40^(@) tan 60^(@) tan 80^@=

tan10^(@) tan 20^(@) tan 30^(@) tan 40^(@) tan 50^(@) tan 60^(@) tan 70^(@) tan 80^(@)=

VIKRAM PUBLICATION ( ANDHRA PUBLICATION)-TRIGONOMETRIC RATIOS UPTO TRANSFORMATIONS-EXERCISE - 6(C)
  1. If tan theta = (cos 11^(@)+sin11^(@))/(cos11^(@)-sin11^(@)) and theta ...

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  2. If 0^(@) lt A, B lt 90^(@), such that cos A = 5/13, sin B = 4/5, find ...

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  3. Find tan 20^(@) + tan40^(@) + sqrt(3)tan20^(@)tan40^(@).

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  4. Find the value of tan56^(@)-tan11^(@)-tan56^(@).tan11^(@).

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  5. Evaluate sum(sin (A+B)sin(A-B))/(cos^(2)A cos^(2)B): if non of cos A ,...

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  6. Evaluate sum(sigmatauv(X-A))/(sigmatauvXsigmatauvA) if none of sinA, s...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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