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If cos A=-12/13 and cotB=24/7 where A li...

If `cos A=-12/13` and `cotB=24/7` where `A` lies in second quadrant and `B` lies in third quadrant then find the values of `(i) sin (A+B) (ii) cos(A+B) (iii) tan(A+B)`

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RD SHARMA ENGLISH-TRIGONOMETRIC RATIOS OF COMPOUND ANGLES-All Questions
  1. Evaluate the following: cos 47^0cos 13^0-sin 47^0 sin 13^0

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  2. Evaluate the following: cos 80^0cos 20^0+ sin 80^0 sin 20^0

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  3. If cos A=-12/13 and cotB=24/7 where A lies in second quadrant and B li...

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  4. Prove that: cos 105^@+cos15^@=sin 75^@-sin 15^@

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  5. Prove that: (tanA+tanB)/(tanA-tanB)=sin(A+B)/(sin(A-B)

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  6. Prove that: (cos 11^@+"sin"11^@)/(cos 11^@-"sin"11^@)=tan 56^@

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  7. Prove that: (cos8^@+"sin"8^@)/(cos8^@-"sin"8^@)=t a n 53^@

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  8. The value of : (cos9^@+sin9^@)/(cos9^@-sin9^@) is:

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  9. Prove that: sin(60^0-theta)cos(30^0+theta)+cos(60^0-theta)sin(30^0+the...

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  10. Prove that: sin((4pi)/9+7)cos(pi/9+7)-cos((4pi)/9+7)sin("pi/9+7)=(sqrt...

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  11. Prove that: sin((3pi)/8-5)cos( pi/8+5)+cos((3pi)/8-5)sin(pi/8+5)=1

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  12. Prove that :(tan69^@+tan 66^@)/(1-tan 69^@tan66^@)=-1

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  13. If tanA=5/6 and tanB=1/(11),\ p rov e\ t h a t\ A+B=pi/4

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  14. If tanA=m/(m-1)\ a n d tanB=1/(2m-1), then prove that A-B=\ pi/4

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  15. Prove that: cos^2 45^0-sin^2 15^0=(sqrt(3))/4

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  16. Prove that: sin^2(n+1)A-sin^2n A="sin"(2n+1)Asin A

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  17. Prove that: (sin(A+B)+"sin"(A-B))/(cos(A+B)+"cos"(A-B))=t a n A

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  18. Prove that: ("sin"(A-B))/(cos A cosB)+(sin(B-C))/(cos B cos C)+("sin"(...

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  19. Prove that: ("sin"(A-B))/(sin A sin B)+("sin"(B-C))/(sin B sin C)+("si...

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  20. Prove that: sin^2B=sin^2A+sin^2(A-B)-2sin A cos B sin(A-B)

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