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Prove that : 3cosec^(2)60^(@)-2cot^(2)...

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

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

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

Prove that : (i) ((tan 60^(@)+1)/(tan 60^(@) - 1))^(2) = (1 + cos 30^(@))/(1 - cos 30^(@)) (ii) 3 "cosec"^(2) 60^(@) - 2 cot^(2) 30^(@) + sec^(2) 45^(@) = 0

Prove that : 4(sin^(4)30^(@)+cos^(4)60^(@))-3(cos^(2)45^(@)-sin^(2)90^(@))=2

Prove that : 4(sin^(4)30^(@)+cos^(4)60^(@))-3(cos^(2)45^(@)-sin^(2)90^(@))=2

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

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

Prove that (4)/(3)cot^(2)30^(@)+3sin^(2)60^(@)-2" cosec"^(2)60^(@)-(3)/(4)tan^(2)30^(@)=3(1)/(3) .

Find the vlaue of 4sin^(2)30^(@)+tan^(2)60^(@)+sec^(2)45^(@) .

Prove that : (sec^(2)A-1)("cosec"^(2)A-1)=1

ICSE-TRIGONOMETRICAL RATIOS OF STANDARD ANGLES-EXERCISE 23(A)
  1. Prove that : cos^(2)30^(@)-sin^(2)30^(@)=cos60^(@)

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

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

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

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

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

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

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

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

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

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

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

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  13. If sinx=cosy, write the relation between x and y, if both the angles x...

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  14. If sinx=cosy, then x+y=45^(@), write true or false.

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  15. sectheta.cottheta=cosectheta, write true or false.

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  16. For any angle theta, state the value of : " "sin^(2)theta+cos...

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  17. State for any acute angle theta whether : sintheta increases or decr...

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  18. State for any acute angle theta whether : costheta increases or decr...

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  19. State for any acute angle theta whether : tantheta increases or decr...

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  20. If sqrt(3)=1*732, find (correct to two decimal places) the value of ea...

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