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2sec^2theta-sec^4theta-2cosec^2theta+cos...

`2sec^2theta-sec^4theta-2cosec^2theta+cosec^4theta=cot^4theta-tan^4theta` .

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Prove the following identity : 2 sec^2 theta- sec^4 theta-2 cosec^2 theta+ cosec^4 theta= cot^4 theta-tan^4 theta .

Prove that sec^4theta-sec^2theta=tan^4theta+tan^2theta .

tan^2theta+cot^2theta+2=sec^2thetacoses^2theta .

Prove that (sec^2theta-sin^2theta)/tan^2theta=cosec^2theta-cos^2theta .

Prove that : (cosec theta)/(cosec theta-1)+ (cosec theta)/ (cosec theta+1)= 2 sec^2 theta .

Prove that sin^4theta-cos^4theta=sin^2theta-cos^2theta .

(tan^3theta)/(1+tan^2theta)+(cot^3theta)/(1+cot^2theta)=secthetacosectheta-2sinthetacostheta .

Prove that (tan^2 theta)/(tan^2 theta-1)+(cosec^2 theta)/ (sec^2 theta-cosec^2 theta)= -sec 2 theta .

sqrt(sec^2theta+cosec^2theta)=tantheta+cottheta=sectheta.cosectheta. .

Prove the following identity : sqrt (sec^2 theta+ cosec^2 theta)= tan theta+ cot theta= sec theta cosec theta .

MBD-INTRODUCTION TO TRIGONOMETRY-EXERCISE
  1. (sinA+cosA)/(sinA-cosA)+(sinA-cosA)/(sinA+cosA)=2/(sin^2A-cos^2A)=2/(1...

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  2. (tan^3theta)/(1+tan^2theta)+(cot^3theta)/(1+cot^2theta)=secthetacosect...

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  3. 2sec^2theta-sec^4theta-2cosec^2theta+cosec^4theta=cot^4theta-tan^4thet...

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  4. Prove that (sintheta)/(1+costheta)+(1+costheta)/sintheta=2cosectheta .

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  5. (tanA+secA-1)/(tanA-secA+1)=(1+sinA)/cosA .

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  6. 1/(cosectheta+cottheta)-1/sintheta=1/sintheta-1/(cosectheta-cottheta) ...

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  7. tantheta/(1-cottheta)+cottheta/(1-tantheta)=1+tantheta+cottheta .

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  8. (cosecA)/(cosecA-1)+(cosecA)/(cosecA+1)=2+2tan^2A .

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  9. (tanA-tanB)^2+(1+tanAtanB)^2=sec^2Asec^2B .

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  10. If cosalpha/cosbeta=m and cosalpha/sinbeta=n then Show that (m^2+n^2) ...

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  11. If costheta+sintheta=sqrt2costheta ,then show that costheta-sintheta=...

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  12. If tantheta+sintheta=m,tantheta-sintheta=n , then show that m^2-n^2=4s...

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  13. If sectheta= x+1/(4x) , then prove that sectheta+tantheta=2x or 1/(2x)...

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  14. IF sintheta+sin^2theta=1 prove that cos^2theta+cos^4theta=1 .

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  15. Evaluate without using trigonometric tables : cotthetatan(90^@-theta)-...

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  16. Prove that : (1+costheta-sin^2 theta)/(sintheta(1+costheta))=cottheta ...

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  17. If sectheta+tantheta=p , prove that sintheta=(p^2-1)/(p^2+1) .

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  18. If cosectheta-sintheta=l, and sectheta-costheta=m , show that l^2m^2(l...

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  19. Prove that (cosectheta+cottheta)/(cosectheta-cottheta) =((1+costheta)/...

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  20. Prove that (1+tan^2 theta)/(1+cot^2 theta)=((1-tantheta)/(1-cottheta)...

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