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Find the value of : tan^(2)30^(@)+tan^...

Find the value of :
`tan^(2)30^(@)+tan^(2)45^(@)+tan^(2)60^(@)`

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The correct Answer is:
`4""1/3`
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ICSE-TRIGONOMETRICAL RATIOS OF STANDARD ANGLES-EXERCISE 23(A)
  1. Find the value of : sin^(2)30^(@)+cos^(2)30^(@)+cot^(2)45^(@)

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  2. Find the value of : cos^(2)60^(@)+sec^(2)30^(@)+tan^(2)45^(@)

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  3. Find the value of : tan^(2)30^(@)+tan^(2)45^(@)+tan^(2)60^(@)

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  4. Find the value of : (tan45^(@))/(cosec30^(@))+(sec60^(@))/(cot45^(@)...

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  5. Find the value of : 3sin^(2)30^(@)+2tan^(2)60^(@)-5cos^(2)45^(@)

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  6. Prove that : sin60^(@)cos30^(@)+cos60^(@).sin30^(@)=1

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  7. Prove that : cos30^(@).cos60^(@)-sin30^(@).sin60^(@)=0

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  8. Prove that : cosec^(2)45^(@)-cot^(2)45^(@)=1

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  9. Prove that : cos^(2)30^(@)-sin^(2)30^(@)=cos60^(@)

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  10. Prove that : ((tan60^(@)+1)/(tan60^(@)-1))^(2)=(1+cos30^(@))/(1-cos3...

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  11. Prove that : 3cosec^(2)60^(@)-2cot^(2)30^(@)+sec^(2)45^(@)=0.

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  12. Prove that : sin(2 times 30^(@))=(2tan30^(@))/(1+tan^(2)30^(@))

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  13. Prove that : cos(2 times 30^(@))=(1-tan^(2)30^(@))/(1+tan^(2)30^(@))

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  14. Prove that : tan(2 times 30^(@))=(2tan30^(@))/(1-tan^(2)30^(@))

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  15. ABC is an isosceles right-angled triangle. Assuming AB = BC = x, find ...

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  16. Prove that : sin60^(@)=2sin30^(@)cos30^(@).

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  17. Prove that : 4(sin^(4)30^(@)+cos^(4)60^(@))-3(cos^(2)45^(@)-sin^(2)...

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  18. If sinx =cosx and x is acute, state the value of x.

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  19. If secA=cosecA" and "0^(@) le A le 90^(@), state the value of A.

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  20. If tantheta=cottheta" and "0^(@) le theta le 90^(@), state the value o...

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