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If tantheta=p-1/(4p) , then sectheta-tan...

If `tantheta`=`p-1/(4p)` , then `sectheta-tantheta`=

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If tantheta=b/a ,show that acos2theta+bsin2theta=a

Prove the following tantheta/(1-cottheta) +cottheta/(1-tantheta) =sectheta.cosectheta+1=1+tantheta+cottheta

Prove that (1-sintheta)/(1+sintheta)=(sectheta-tantheta)^2 .

Prove the following sqrt{(1-sintheta) /(1+sintheta)} =sectheta-tantheta=(1-sintheta)/costheta

Prove that 1/(sectheta+tantheta)-1/costheta=1/costheta-1/(sectheta-tantheta)

If tantheta +sintheta=m and tantheta-sintheta=n prove that m^2-n^2=4sqrt(mn)

Prove the following 1/(sectheta-tantheta) -1/costheta=1/costheta-1/(sectheta+tantheta)

Prove the following identities,where the angles involves are acute angles for which the expressions are defined:(iii) tantheta/(1-Cottheta)+Cottheta/(1-tantheta)=Sectheta Cosectheta+1

Eliminate theta , if tantheta+sintheta=x , tantheta-sintheta=y

If sintheta +costheta =p and sectheta+cosectheta=q , show that q(p^2 -1)=2p .

KALYANI PUBLICATION-RELATIONS BETWEEN TRIGONOMETRIC RATIOS AND RELATED IDENTITIES-EXERCISE
  1. Eliminate theta and phi sintheta +costheta =x, tantheta +cottheta=y

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  2. Eliminate theta x=a sintheta , y=a costheta

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  3. Eliminate theta and phi sintheta+costheta=a, sin^3theta+cos^3theta=b

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  4. Eliminate theta and phi sintheta+sinphi=a ,costheta+cosphi=b, theta-p...

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  5. If x=a sectheta *cosphiy=b sectheta*sinphi, z=c tantheta then prove...

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  6. Find the value of (sintheta)/(cosectheta)+(costheta)/(sectheta)-1

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  7. If theta is a positive acute angle and 2 costheta=1/2 sectheta,find th...

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  8. If theta be positive acute angle sin3 theta=cos(2theta+15),find the va...

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  9. If sec theta- tan theta=1/2,find the value of sec theta+ tan theta

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  10. If sin theta-cos theta=0,find the value of sec theta+ cosec theta

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  11. Fill in the gap 4sec^2(49)-4 tan^2(49)is equal to ........

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  12. Fill in the gap sin25-cos65is equal to ......

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  13. Fill in the gap If tan(x+28)=cot x,then value of x is.......

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  14. Fill in the gap If sin theta=x then sec theta in terms of x is.....

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  15. Fill in the gap If tanA=cotB,where A and B are two acute angles then ...

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  16. Choose the correct option cosec^2 A- cot^2B=1is possible if a)AgtB ...

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  17. Choose the correct option In a triangle ABC,sin((A+B)/2) is equal to...

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  18. Choose the correct option The value of sin theta cos (90- theta)+cos...

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  19. Choose the correct option If x=3 sec^2 theta,y=tan^2 theta-2,then x-...

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  20. If tantheta=p-1/(4p) , then sectheta-tantheta=

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