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If tanA=13/27, tanB=7/20 and A,B are acu...

If` tanA=13/27`,` tanB=7/20` and A,B are acute, show that A+B =`45^@`

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MBD PUBLICATION-TRIGONOMETRIC FUNCTIONS-QUESTION BANK
  1. Find the maximum value of the 2+3sinx+4cosx

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  2. Find the maximum value of the 8cosx-15sinx-2

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  3. If tanA=13/27, tanB=7/20 and A,B are acute, show that A+B =45^@

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  4. If tantheta=b/a, find the value of acos2theta+bsin2theta

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  5. If secA-tanA=1/2 and {0ltAlt90^@} then show that secA=5/4

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  6. If sintheta+sinphi=a and costheta+cosphi=b then show that tan((theta+p...

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  7. If tantheta=(asinx+bsiny)/(acosx+bcosy) then show that a sin(theta-x)+...

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  8. If tantheta=(asinx+bsiny)/(acosx+bcosy) then show that a sin(theta-x)+...

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  9. If A+C=B show that tanA.tanB.tanC=tanB-tanA-tanC

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  10. If tan A=1/5, tanB=2/3show that cos2A=sin2B

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  11. If cos2A=tan^2B then show that cos 2B=tan^2A

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  12. In triangle ABC, prove that tan(B+C)/2=cot(A/2)

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  13. In triangle ABC , prove that cos(A+B)+sinC=sin(A+B)-cosC

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  14. If A+B+C=pi and cosA=cosB.cosC show that tanB+tanC=tanA

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  15. If A+B+C=pi and cosA=cosB.cosC show that 2cotB.cotC=1

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  16. Prove the following : cos(A-D)sin(B-C)+cos(B-D)sin(C-A)+cos(C-D)sin(A-...

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  17. Prove the following : sin2A+sin2B+sin2(A-B) = 4sinA.cosB.cos(A-B)

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  18. Prove the following : cos2A+cos2B+cos2(A-B)+1 = 4cosA.cosB.cos(A-B)

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  19. Prove the following : sin2A+sin2B+sin2C-sin2(A+B+C) 4sin(B+C)sin(C+A...

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  20. Prove the following : sinA+sin3A+sin5A =sin3A(1+2cos2A)

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