Home
Class 12
MATHS
sum(i=1)^n costhetai=n then sum(i=1)^n s...

`sum_(i=1)^n costheta_i=n` then `sum_(i=1)^n sintheta_i`

A

n-1

B

0

C

n

D

n+1

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Similar Questions

Explore conceptually related problems

x_1,x_2, x_3,………., x_n are n observations . sum_(i=1)^(n) (x_i - 2) = 100 " and " sum_(i=1)^(n) (x_i - 5) = 20 then mean barx = …….

If Delta_r=|[2^(r-1),1/(r(r+1)),sin rtheta],[x, y, z],[2^n-1, n/(n+1),((sin)(n+1)/2 theta (sin) n/2 theta) /(sintheta/2)]|, then sum_(r=1)^n Delta_r is equal to

If sum_(i=1)^(2n)cos^(-1)x_i=0 then find the value of sum_(i=1)^(2n)x_i

If sum_(i=1)^9 (x_i - 5) = 9 and sum_(i=1)^9 (x_i - 5)^2 = 45. The standard deviation of the observations x_1, x_2,………,x_9 is ………….

Evaluate sum_(r=1)^(n)rxxr!

If the arithmetic mean of a_(1),a_(2),a_(3),"........"a_(n) is a and b_(1),b_(2),b_(3),"........"b_(n) have the arithmetic mean b and a_(i)+b_(i)=1 for i=1,2,3,"……."n, prove that sum_(i=1)^(n)(a_(i)-a)^(2)+sum_(i=1)^(n)a_(i)b_(i)=nab .

Find the remainder when sum_(r=1)^(n)r! is divided by 15, if n ge5 .

let 0ltphiltpi/2 , x=sum_(n=0)^oocos^(2n)phi , y=sum_(n=0)^oosin^(2n)phi and z=sum_(n=0)^oocos^(2n)phisin^(2n)phi

If Sigma_( i = 1)^( 2n) sin^(-1) x_(i) = n pi , then find the value of Sigma_( i = 1)^( 2n) x_(i) .

Statement 1 The sum of the products of numbers pm a_(1),pma_(2),pma_(3),"....."pma_(n) taken two at a time is -sum_(i=1)^(n)a_(i)^(2) . Statement 2 The sum of products of numbers a_(1),a_(2),a_(3),"....."a_(n) taken two at a time is denoted by sum_(1le iltjlen)suma_(i)a_(j) .