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. Show that sin100^@- sin 10^@ is positi...

. Show that `sin100^@- sin 10^@` is positive

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RD SHARMA ENGLISH-TRIGONOMETRIC RATIOS OF COMPOUND ANGLES-All Questions
  1. Reduce the expression to the sine and cosine of a single expression:...

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  2. Reduce each of the following expressions to the sine and cosine of a ...

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  3. . Show that sin100^@- sin 10^@ is positive

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  4. If alpha+beta-gamma=pi and sin^2alpha+sin^2beta-sin^2gamma=lambda sina...

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  5. If x\ costheta=y cos(theta+(2pi)/3)=z cos(theta+(4pi)/3) , then write ...

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  6. Write the maximum and minimum values of 3cos x+4sin x+5.

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  7. Write the maximum value of 12sinθ.

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  8. If 12 sintheta-9sin^2theta attains its maximum value at theta=alpha , ...

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  9. Write the interval in which the values of 5costheta+3cos(theta+pi/3)+3...

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  10. If tan(A+B)=p\ a n dtan(A-B)=q then write the value of tan2Bdot

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  11. If ("cos"(x-y))/("cos"(x+y))=m/n , then write the value of t a n x\ t ...

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  12. If a=b cos((2pi)/3)= c cos((4pi)/3), then write the value of a b+b c+c...

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  13. If A+B=C , then write the value of t a n A\ t a n B\ t a n Cdot

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  14. If sinalpha-sinbeta=a and cosalpha+cosbeta=b then write the value of "...

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  15. The value of sin^2 75^0-sin^2 15^0 is a. 1//2 b. sqrt(3)//2 c. 1 d. 0

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  16. If A+B+C=180^0,\ then s e c A(cos B cos C-sin B sin C) is equal to:

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  17. tan20^@+tan40^@+sqrt3 tan20^@ tan40^@= (a).sqrt3/4 (b).sqrt3/2 (c).s...

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  18. If tanA=a/(a+1) and tanB=1/(2a+1) then the value of A+B is: (a).0...

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  19. If 3sintheta+4costheta =5 then find the value of: 4sintheta-3costheta

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  20. The value of: tan3A-tan2A-tanA =

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