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If cos(theta - alpha)=a, cos(theta-beta)...

If `cos(theta - alpha)=a, cos(theta-beta)=b`, then `sin^(2)(alpha -beta) + 2abcos(alpha-beta)=0`

A

`a^(2)+b^(2)`

B

`a^(2)-b^(2)`

C

`b^(2)-a^(2)`

D

`-a^(2)-b^(2)`

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The correct Answer is:
A
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AAKASH SERIES-COMPOUND ANGLES-LECTURE SHEET (EXERCISE - I)
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  3. If cos(theta - alpha)=a, cos(theta-beta)=b, then sin^(2)(alpha -beta) ...

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  4. (sqrt(2)-sin alpha - cos alpha)/(sin alpha - cos alpha) is equal to

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  5. If U(n) = sin n theta.sec^(n)theta, V(n)=cosnthetasec^(n)theta for n=0...

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  6. Find the value of the expression sqrt3 cosec 20^@-sec20^@=…….

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  7. If A and B are acute positive angles satisfying the equations 3sin^(2)...

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  8. If theta=3alpha and sin theta =(a)/(sqrt(a^(2)+beta^(2))),, the value ...

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  9. If sqrt(2)cos A = cos B + cos^(3)B, and sqrt(2)sin A = sin B- sin^(3)B...

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  10. If sin theta(1)sin theta(2)-cos theta(1)cos theta(2)+1=0, then the val...

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  11. Given both theta and phi are acute angles and sin theta = (1)/(2), cos...

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  12. If tan(alpha-beta)=(sin 2beta)/(3-cos2beta), then

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  13. If tan alpha = (1)/(sqrt(x(x^(2)+x+1))), tan beta = (sqrt(x))/(sqrt(x^...

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  14. If A gt 0, B gt 0 and A+B=(pi)/(3), then the maximum value of tan A ta...

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  15. In a triangle PQR angle R=pi //2 if tan (p//2) and tan ( Q//2)...

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  16. If tan alpha, tan beta are the roots of the equation x^(2)+px+q=0 the...

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  17. If sec theta + tan theta=1, then root of the equation (a-2b+c)x^(2) + ...

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  18. If tan alpha is equal to the integral solution of the inequality 4x^(2...

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  19. If A+B+C=(pi)/2, " then " sum (cos (B+C))/(cos B cos C)=

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  20. If "tan"^(2)(pi-4)/(4)+"tan"^(2)(pi-B)/(4)+"tan"^(2)(pi-C)/(4)=1, then...

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