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Prove that: (cos8^@+"sin"8^@)/(cos8^@-"s...

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

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RD SHARMA ENGLISH-TRIGONOMETRIC RATIOS OF COMPOUND ANGLES-All Questions
  1. Prove that: (tanA+tanB)/(tanA-tanB)=sin(A+B)/(sin(A-B)

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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  17. Prove that: cos^2A+cos^2B-2cosA\ cos B cos\ (A+B)=sin^2(A+B)

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

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  19. If tan A= xtanB then prove that sin(A-B)/sin(A+B)=(x-1)/(x+1)

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  20. If tan(A+B)=x and tan(A-B)=y then find the values of tan2A and tan2B

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