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If cos(alpha-beta)=3sin(alpha+beta),t h ...

If `cos(alpha-beta)=3sin(alpha+beta),t h e n 1/(1-3sin2alpha)+1/(1-3sin2beta)=` (a)`1/2` (b) `(-1)/2` (c) `1/4` (d) `(-1)/4`

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CENGAGE PUBLICATION-TRIGONOMETRIC FUNCTIONS-All Questions
  1. If t a n^2theta=2t a n^2varphi+1 , prove that cos2theta+sin^2phi =0.

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  2. If tanA.tanB=1/2,t h e n(5-3cos2A)(5-3cos2B)= (a)2 (b) 8 (c) 12 ...

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  3. If cos(alpha-beta)=3sin(alpha+beta),t h e n 1/(1-3sin2alpha)+1/(1-3sin...

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  4. The value of cos^2 10^0-cos10^0cos50^0+cos^2 50^0 is equal to

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  5. If cosα+cosβ= 3/2 ​ and sinα+sinβ= 1/2​ and θ is the arithmeti...

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  6. Let a ,ba n dc be real numbers such that a+2b+c=4 . Find the maximum v...

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  7. If sinx+cos e cx+tany+coty=4 where x a n d y in [0,pi/2],t h e ntan(y/...

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  8. If 2|sin2alpha|=|tanbeta+cotbeta|,alpha,beta in (pi/2,pi), then the va...

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  9. In A B C , if (sinA)/(csinB)+(sinB)/c+(sinC)/b=c/(a b)+b/(a c)+a/(b c...

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  10. Column I Column II The value of ((4+sec20^0)/(cosec20^0))^2 , is p....

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  11. The value of cos(pi/7)+cos((2pi)/7)+cos((3pi)/7)+cos((4pi)/7)+cos((5pi...

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  12. If x^2+y^2=1 and P=(3x-4x^3)^2+(3y-4y^3)^2 then P is equal to

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  13. If sin A=3/5,w h e r e0^0ltAlt90^0 , then find the values of sin2A , c...

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  14. Prove that (cosA-cosB)^2+(sin A-sin B)^2=4sin^2((A-B)/2)

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  15. Let f(x)=2 cosec 2x + sec x+cosec x, then the minimum value of f(x) fo...

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  16. If tanalpha=1/7 ,sinbeta=1/sqrt10 prove that alpha+2beta=(pi/4) where ...

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  17. Prove that (1+sin2theta)/(1-sin2theta)=((1+tantheta)/(1-tantheta))^2

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  18. Prove that (1-tan^2(pi/4-A))/(1+tan^2(pi/4-A))=sin2Adot

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  19. If alpha+beta=90^0 , find the maximum and minimum values of sinalphas...

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  20. Find the maximum and minimum value of cos^2theta -6 sin theta .cos the...

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