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

Prove that: `sin(60^0-theta)cos(30^0+theta)+cos(60^0-theta)sin(30^0+theta)=1.`

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RD SHARMA ENGLISH-TRIGONOMETRIC RATIOS OF COMPOUND ANGLES-All Questions
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  2. The value of : (cos9^@+sin9^@)/(cos9^@-sin9^@) is:

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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  19. If cos A+sin B=m and sin A+cos B=n , prove that 2sin(A+B)=m^2+n^2-2.

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  20. If tan A+tan B=a and cot A+cot B=b , prove that: cot(A+B)=1/a-1/b

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