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Prove that following identities sec^(4...

Prove that following identities
`sec^(4)theta(1-sin^(4)theta)-2tan^(2)theta=1`

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Prove that following identities tan^(4)theta+tan^(2)theta=sec^(4)theta-sec^(2)theta

Prove the following: (sec theta + tan theta)(1-sintheta) = costheta

(1+tan^(2)theta)sin^(2)theta = ……… .

(1-Sin^(2)theta)(sec^(2)theta)= ………… .

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PREMIERS PUBLISHERS-TRIGONOMETRY-OTHER IMPORTANT OBJECTIVE TYPE QUESTIONS
  1. Prove that following identities sec^(4)theta(1-sin^(4)theta)-2tan^(2...

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  2. sec(90^(@)-theta)= ………………

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  3. (cos0^(@)+sin90^(@))xx(tan30^(@)xxtan60^(@)) is:

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  4. sqrt(cosec^(2)theta-cot^(2)theta) is:

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  5. (cosectheta)/(costheta)-(costheta)/(sintheta)=?

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  6. (sectheta+tantheta)(sectheta-tantheta)=……………

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  7. (tan45^(@)+cot45^(@))+sec^(2)45^(@)=………….

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  8. cos30^(@)sin60^(@)+cos60^(@)sin30^(@)=……………………

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  9. sqrt((1+sintheta)/(1-sintheta))=sectheta+x. Then x is:

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  10. If x=rcostheta,y=rsintheta,"then "x^(2)+y^(2)=?

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  11. In DeltaABC" with "C=90^(@),AC=BC=1. Find costheta.

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  12. What is the minimum number of measurements required to determine the h...

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  13. Simplify: cos^(2)theta+(1)/(1+cot^(2)theta):

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  14. (sinalpha+cosecalpha)^(2)+(cosalpha-secalpha)^(2)-tan^(2)alpha-cot^(2)...

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  15. If x=acostheta,y=bsintheta" then "(x^(2))/(a^(2))+(y^(2))/(b^(2))=?

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  16. If sintheta=costheta, then the value of 'theta' is .

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  17. If sintheta=(5)/(13)" then "costheta=?

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  18. If tantheta=(3)/(4)," find "(2sintheta+3costheta)/(3sintheta+2costheta...

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  19. If sintheta+costheta=sqrt(3)" then "tantheta+cottheta=?

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  20. If sqrt(3)sintheta-costheta=0" then "3tantheta-tan^(3)theta is:

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  21. Simplify: (sin(90-theta)costheta)/(cos(90-theta)sintheta)+1=

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