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Prove that,sqrt((sectheta-1)/(sectheta+1...

Prove that,`sqrt((sectheta-1)/(sectheta+1))=cosectheta-cottheta`

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prove that, sqrt((sectheta-1)/(sectheta+1))="cosec"theta-cottheta.

Prove that sqrt((1-costheta)/(1+cos theta))=cosectheta-cottheta .

sqrt((1-sintheta)/(1+sintheta))=sectheta-tantheta

Prove that sqrt((1+sintheta)/(1-sintheta))=sectheta+tantheta

Prove that sqrt((1+costheta)/(1-costheta))+sqrt((1-cos theta)/(1+cos theta))=2 " cosec"theta.

Prove the following identities: sqrt((1+sintheta)/(1-sin theta))=sectheta+tantheta

Prove the following identities: sqrt((cosectheta-1)/(cosec+1))=(1-sintheta)/(costheta)

. (tantheta +sectheta-1)/(tantheta -sectheta+1) =

Prove that costheta(tantheta+2)(2tantheta+1)=2sectheta+5sintheta

Prove that (sintheta+cosectheta)^2+(costheta+sectheta)^2ge9 .

UNITED BOOK HOUSE-KALIDHAN INSTITUTION-EXERCISE
  1. The probability that in a family of 5 members, exactly 2 members have...

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  2. The angles of a triangle are in the ration 5:4:3 .Find the circular me...

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  3. Prove that,sqrt((sectheta-1)/(sectheta+1))=cosectheta-cottheta

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  4. If A,B,C are positive acute angles and tan A=4/7and tan B=1/7,tan C=1/...

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  5. Find the value of 1/2sec80^@-2cos20^@

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  6. Find out the three cube-roots of 8.

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  7. In how many ways can the results of the three football matches be pred...

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  8. State the binomial theorem for a positve integral index.

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  9. Is 600 a terms of the A.P{7,11,15,19,…}.Give reason for your answer.

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  10. Find the equation of the line which passes through the point (4,-6)and...

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  11. The co-ordinates of a moving point P are.[a/2(cosectheta+sintheta)b/2(...

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  12. Find the value of p so that the roots of the equation 3x^2-2(7+9p)x+(8...

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  13. Do you think 4 as a complex number?if so why ?

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  14. Two unbaised dice are rolled together.Find the probability getting 2 d...

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  15. What is the chance that a leap year selected at random will contain 53...

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  16. sinalpha+sinbeta=aand cosalpha+cosbeta=bprove that ,tan((alpha-beta)/2...

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  17. sintheta=ksin(theta+phi).show that tan(theta+phi)=(sinphi)/(cosphi-K)

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  18. Prove by the principle of mathematical induction that.4^n+15n-1is a mu...

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  19. If w be a imaginary cube root of uniyt and a+b+c=0 then show that (a+b...

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  20. In a machine,there is a password of five characters of which the first...

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