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If sintheta+sinphi=a and costheta+cosphi...

If `sintheta+sinphi=a` and `costheta+cosphi=b` then show that `tan((theta+phi)/2)=a/b`

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MBD PUBLICATION-TRIGONOMETRIC FUNCTIONS-QUESTION BANK
  1. If tantheta=b/a, find the value of acos2theta+bsin2theta

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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  19. Prove the following : cos(A+B)+sin(A-B) 2sin(45^@+A)cos(45^@+B)

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  20. Prove the following : cos4A-cos4B = 8(cosA-cosB)(cosA+cosB)(cosA-sin...

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