Home
Class 12
MATHS
If xk = (sectheta)^(1/2^k)+ (tan theta)^...

If `x_k = (sectheta)^(1/2^k)+ (tan theta)^(1/(2^k) ` `and y_k = (sectheta)^(1/(2^k))-(tan theta)^(1/2^k)` , then value of `3y_n prod_(k=0)^n (x_k)` is equal to

Text Solution

Verified by Experts

The correct Answer is:
1
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC EQUATIONS AND INEQUATIONS

    ARIHANT MATHS|Exercise EXAMPLES ( Matching Type Questions )|1 Videos

  • TRIGONOMETRIC EQUATIONS AND INEQUATIONS

    ARIHANT MATHS|Exercise EXAMPLES ( Subjective Type Examples )|2 Videos

  • THREE DIMENSIONAL COORDINATE SYSTEM

    ARIHANT MATHS|Exercise Three Dimensional Coordinate System Exercise 12 : Question Asked in Previous Years Exam|2 Videos

  • TRIGONOMETRIC FUNCTIONS AND IDENTITIES

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|18 Videos

Similar Questions

Explore conceptually related problems

If f(n)=prod_(i=2)^(n-1)log_i(i+1) , the value of sum_(k=1)^100f(2^k) equals

The value of 5 * cot ( Sigma_(k =1)^(5) cot ^(-1) ( k^(2) + k + 1)) is equal to

The value of lim_(n->oo)sum_(k=1)^n(6^k)/((3^k-2^k)(3^(k+1)-2^(k+1)) is equal to

If theta+phi= alpha and tan theta=k tan phi , prove that : sin alpha=(k+1)/(k-1) sin (theta-phi) .

If tan3A=(3 tan A+k tan^(3)A)/(1-3 tan^(2)A) , then k is equal to

If A = {:[(2-k,2),(1,3-k)] is a singular matirx, then the value of 5k-k^2 is equal to

lim_(n rarr infty) sum_(k=1)^(n) (k)/(n^(2)+k^(2)),x gt 0 is equal to

If underset(0)overset(1)int (3x^2 +2x +k) dx = 0 , write the value of 'k'.

If sum_(n=0)^(oo)2cot^(-1)((n^(2)+n+4)/(2))=k pi , then find the value of k.

If |x| ge 1, then sin^-1((2x)/(1+x^2)) = 2 k. Write down the value of k.