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If A, B, C are interior angles of triang...

If A, B, C are interior angles of `triangle`ABC, prove that :- `1+cot^2((B+C)/2)=sec^2 "A/2` .

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MBD-INTRODUCTION TO TRIGONOMETRY-EXERCISE
  1. If A, B, C are interior angles of triangleABC, prove that :- cos^2(A/2...

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  2. If A, B, C are interior angles of triangleABC, prove that :- 1+tan^2((...

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  3. If A, B, C are interior angles of triangleABC, prove that :- 1+cot^2((...

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  4. If A, B, C are interior angles of triangleABC, prove that :- tan((A+B...

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  5. Match the following : .

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  6. Prove that sec A (1 -sin A) (sec A + tan A) =1.

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  7. Prove the following : (cot A - cos A)/(cot A + cos A)= (cosec A -1)/(c...

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

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  9. Prove the following : tan^2A-tan^2B=(sin^2A-sin^2B)/(cos^2Acos^2B) .

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  10. (sec A - cos A) (cot A + tan A) = tan A sec A.

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  11. sin A (1 + tan A) + cos A (1 + cot A) = sec A + cosec A .

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  12. (cosec theta -sin theta) (sec theta - cos theta) (tan theta + cot thet...

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  13. (1 + cot A — cosec A) (1 + tan A + sec A) = 2 .

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

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

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

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  17. (1+sintheta)/(1-sintheta)=1+(2tantheta)/costheta+2tan^2theta .

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

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  19. (1+costheta+sintheta)/(1+costheta-sintheta)=(1+sintheta)/costheta .

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

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