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(sintheta+cosectheta)^2+(costheta+secthe...

`(sintheta+cosectheta)^2+(costheta+sectheta)^2=tan^2theta+cot^2+7` .

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(sin^3theta-cos^3theta)/(sintheta-costheta)-(costheta)/(sqrt(1+cot^2theta))-2tanthetacottheta=-1 if theta in (0,pi/2) (b) theta in (pi/2,pi) theta in (pi,(3pi)/2) (d) theta in ((3pi)/2,2pi)

If A = [(sintheta ,- costheta), (costheta, sintheta)] and B = [(costheta , sin theta),(-sintheta, cos theta)] . Compute (sin theta) A + (cos theta) B.

Prove that sintheta(cosectheta-sintheta)=cos^2theta .

Prove the following identity : (tan theta-cot theta)/ (sin theta cos theta)= sec^2 theta- cosec^2 theta .

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

Prove that (1-costheta)/(1+costheta)=(cosectheta-cottheta)^2 .

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

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MBD-INTRODUCTION TO TRIGONOMETRY-EXERCISE
  1. (cosec theta -sin theta) (sec theta - cos theta) (tan theta + cot thet...

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  2. (1 + cot A — cosec A) (1 + tan A + sec A) = 2 .

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  3. (sintheta+cosectheta)^2+(costheta+sectheta)^2=tan^2theta+cot^2+7 .

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

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  5. Prove that cosA/(1-tanA)-(sin^2A)/(cosA-sinA)== sin A + cos A. .

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  6. (1+sintheta)/(1-sintheta)=1+(2tantheta)/costheta+2tan^2theta .

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  7. Prove tantheta/(sectheta-1)+(tantheta)/(sectheta+1)=2cosectheta .

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  8. (1+costheta+sintheta)/(1+costheta-sintheta)=(1+sintheta)/costheta .

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  9. Prove the following identities, where the angles involved are acute an...

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

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  11. (sinA+cosA)/(sinA-cosA)+(sinA-cosA)/(sinA+cosA)=2/(sin^2A-cos^2A)=2/(1...

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

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  13. 2sec^2theta-sec^4theta-2cosec^2theta+cosec^4theta=cot^4theta-tan^4thet...

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

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

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  16. 1/(cosectheta+cottheta)-1/sintheta=1/sintheta-1/(cosectheta-cottheta) ...

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

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

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

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

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