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If A+B=45^(@), then (1+ tan A)(1+ tan B)...

If `A+B=45^(@)`, then `(1+ tan A)(1+ tan B)`=__________

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MAHAVEER PUBLICATION-TRIGONOMETRIC RATIOS-QUESTION BANK
  1. If tan x = b/a, prove that a cos 2x + b sin 2x=a

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  2. Prove the following Identities (1+sin theta-costheta)/(1+ sintheta+...

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  3. If A+B=45^(@), then (1+ tan A)(1+ tan B)=

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  4. If sin(theta+alpha)=n sin(theta-alpha), prove that cot theta=(n-1)/(n+...

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  5. Find the other five trigonometric ratio if cos theta=- 4/5 , 90^@ lt t...

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  6. Prove that (sin(B-C))/(cosB cosC)+(sin(C-A))/(cosC cosA)+(sin(A-B))/(c...

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  7. Prove that: ("tan"(A+B))/("cot"(A-B))=\ (tan^2A-tan^2B)/(1-tan^2Atan^2...

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  8. If sin(A-B)=1/2 and cos(A+B)=1/2, find A and B.

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  9. If A+B+C=90^@, Prove that cot A+cot B+cot C=cot A cot B cot C

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  10. If A,B,C are angles of a triangle, prove that sin((B+C)/2)="cos"A/2

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  11. Prove that (cos100sin10^0)/(cos10^0-s in 10^0)=tan55^0

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  12. (cos8^(@)+sin8^(@))/(cos8^(@)-sin8^@)=tan5 3^(@;)

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  13. Show that cos(60^@-A) cos(30^@-B)-sin(60^@-A)sin(30^@-B)=sin(A+B)

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  14. Find tha value of tan 4620^@

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  15. Find tha value of cos(-1575^@)

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  16. Find the value of cos((19pi)/3)

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  17. Prove that(sinA + sinB)/(cosA + cosB)= tan((A+B)/2)

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  18. Prove that (sin5A-sin3A)/(cos5A+cos3A)=tan A

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  19. Prove that (sin2A+sin5A-sin A)/(cos2A+cos5A+cos A)=tan2A

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  20. If A+B+C=180^@ prove that sin A+sin B+sin C=4 "cos" A/2 "cos" B/2 "cos...

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