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sin^2A+sin^2(A-B)+2sinAcosBsin(B-A) is e...

`sin^2A+sin^2(A-B)+2sinAcosBsin(B-A)` is equal to

A

`sin^2A`

B

`sin^2B`

C

`cos^2A`

D

`cos^2B`

Text Solution

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The correct Answer is:
B
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PATHFINDER-TRIGONOMETRIC RATIOS AND IDENTITIES-QUESTION BANK
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  2. The value of the expression 1-sin^2y/(1+cosy)+(1+cosy)/siny-siny/(1-co...

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  4. Let A and B denote the statements A:cos alpha+cos beta+cos gamma=0,B:s...

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  5. If tan beta=(nsin alphacosbeta)/(1-ncos^2alpha) then tan(alpha+beta) i...

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  6. The value of sin20^@sin 40^@sin 60^@sin 80^@ is

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  7. In a triangle ABC,sin A-cos B=cosC,then angle B is

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  8. If Un=2 cosntheta then U1Un-U(n-1) is equal to

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  9. Ifpilt2thetalt(3pi)/2then sqrt(2+sqrt(2+2cos4theta) is equal to

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  10. Ifcos5theta=acos^5theta+bcos^3theta+ccostheta then c is equal to

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  11. Let n be an odd integer if sin ntheta=underset(r=0)oversetnsumbrsin^rt...

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  12. if x in (-pi/2,pi/2) then the minimum value of cos^2x+(secx/4)is

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  13. The number of real solutions of the equation sin (e^x)=2^x+2^(-x) is

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  14. The maximum value of 4sin^2x+3cos^2x+sin(x/2)+cos(x/2) is

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  15. If sin^2theta=sinphi cosphi then the value of cos2theta is

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  16. If in a triangle ABC,sin^2A+sin^2B+sin^2C=2 then the triangle is alway...

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  17. If alpha and beta are solutions ofsin^2x+asinx+b=0 as well as ofcos^2x...

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  18. If thetane(2n+1)pi/2. ninI, then the least value of (sintheta+cosecthe...

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  19. If in a triangle ABC ,(sin A+sin B +sin C)(sinA+sinB-sin C)=3sinAsinB ...

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  20. Let n be a fixed positive integer such that sin(pi/(2n))+cos(pi/(2n))=...

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