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If y=sum(k=1)^6 K cos^(-1)(3/5coskx-4/5s...

If `y=sum_(k=1)^6 K cos^(-1)(3/5coskx-4/5sinkx)` then `(dy)/(dx)=`

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JEE MAINS PREVIOUS YEAR-JEE MAINS 2020-MATHEMATICS
  1. Let the position vectors of points ‘A’ and ‘B’ be hat(i)+hat(j) + hat...

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  2. Let [x] denote the greatest integer less than or equal to x. Then the ...

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  3. If y=sum(k=1)^6 K cos^(-1)(3/5coskx-4/5sinkx) then (dy)/(dx)=

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  4. If the variance of the terms in an increasing A.P., b(1),b(2), b(3), ...

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  5. For a positive integer n, (1+1/x)^(n) is expanded in increasing pow...

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  6. If the system of linear equations x + y + 3z = 0 x + 3y + k^2 z ...

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  7. If alpha and beta are the roots of the equation, 7x^2 -3x -2 = 0 , the...

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  8. If x = 1 is a critical point of the function f(x) = (3x^2 + ax -2 - a...

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  9. The area (in sq. units ) of the region A = { (x,y):(x - 1) [x] lt= y l...

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  10. If the sum of the second , third and fourth terms of a positive term G...

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  11. ((-1+sqrt(3)i)/(1-i))^(30) simplifies to

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  12. If L = sin^2 ((pi)/(16)) - sin^2 ( pi/8) and M = cos^2 ( (pi)/(16...

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  13. If a + x = b + y = c + z + 1 , where a, b,c,x,y,z are non polar distin...

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  14. If the line y = mx + c is a common tangent to the hyperbola (x^2)/(10...

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  15. Which of the following points lies on the tangent to the curve x^4 e^y...

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  16. The statement (p to (q to p)) to (p to (p vv q) ) is :

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  17. underset(x to 0)(lim)(x(""(e)^((sqrt(1+x^(2)+x^(4))-1)/x)-1))/(sqrt(1+...

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  18. If the sum of the first 20 terms of the series log((7^(1//2)))x + l...

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  19. the derivation of tan^-1((sqrt(1+x^2)-1)/x) with respect to tan^-1((2...

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  20. If int(cos theta)/(5 + 7 sin theta - 2 cos^2 theta) d theta = A loge |...

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